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Graduate (Complutense U., 1991) PhD (Complutense U., 1995). Associate professor (1997) and full professor (2002) in Applied Mathematics at the Mathematics Department of the University of Castilla-La Mancha. Founding (2007-2012) and current (2016-) director of the Institute of Applied Mathematics in Science and Engineering at University of Castilla-La Mancha. Director of the department of mathematics (2005-2008, 2012-2016) of the same university. He has published more than 150 ISI-indexed research papers with 5500 citations and has an H-index of 37. He serves in the editorial boards of "Cancers", "European Radiology" and is editor in chief of "Physica D". He is a member of the scientific committees of the Spanish Royal Society of Mathematics and the "Mathematical Action against coronavirus". He has been a member of the Marie Curie evaluation committee and of many international project evaluation boards. His main field of research is the application of mathematical modeling to oncology. |
Publications
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Collapse in coupled Nonlinear Schrodinger equations: Sufficient conditions and Applications
Physica D 238, 1462-1467 (2009).
V. Prytula, V. Vekslerchik, V.M. Perez-Garcia -
Dissipation-induced coherent structures in Bose-Einstein condensates
Phys. Rev. Lett. 102, 144101 (2009) .
V. A. Brazhnyi, V. V. Konotop, V. M. Perez-Garcia, H. Ott -
Exact Bright and Dark Spatial Soliton Solutions in Saturable Nonlinear Media
Chaos, Solitons and Fractals, 41, 1791-1798 (2009)
G. F. Calvo, J. Belmonte-Beitia, V. M. Perez-Garcia -
Liquidlike dynamics of optical beams in tailored coherent media
Physical Review A 79, 013833 (2009)
A. Alexandrescu, H. Michinel, V. M. Pérez-García -
Localization phenomena in Nonlinear Schrodinger equations with spatially inhomogeneous nonlinearities: Theory and applications to Bose-Einstein condensates
Physica D 238, 1352-1361 (2009)
V. M. Perez-Garcia, R. Pardo -
Localized and periodic exact solutions to the nonlinear Schrodinger equation with spatially modulated parameters: Linear and nonlinear lattices
Chaos, Solitons and Fractals 41, 1158–1166 (2009)
J. Belmonte-Beitia, V. V. Konotop, V. M. Perez Garcia, V. E. Vekslerchik -
Mapped Chebyshev pseudospectral method to study multiple scale phenomena
Computers Physics Communications 180, 912–919 (2009)
A. Alexandrescu, A. Bueno-Orovio, J. R. Salgueiro, V. M. Perez-Garcia -
Nonlinear phenomena in degenerate quantum gases
Physica D 238, 1289-1298 (2009).
V. M. Perez-Garcia, N. G. Berloff, P. G. Kevrekidis, V. V. Konotop, B. A. Malomed -
Nonperturbative vector solitary waves in four-level coherent media
Physical Review A 79, 063843 (2009)
A. Alexandrescu, J. R. Salgueiro, V. M. Pérez-García, H. Michinel -
Solitary waves for linearly coupled nonlinear Schrodinger equations with inhomogeneous coefficients
Journal of Nonlinear Science, 19, 437-451 (2009).
J. Belmonte-Beitia, V. M. Perez-Garcia, P. J. Torres -
Eigenvalue cut-off in the cubic-quintic nonlinear Schrodinger equation
Physical Review E, 78, 027601 (2008).
V. Prytula, V. Vekslerchik, V. M. Pérez-García -
Lie Symmetries, qualitative analysis and exact solutions of nonlinear Schrödinger equations with inhomogeneous nonlinearities
Discrete and Continuous Dynamical Systems B, 9, 221-233 (2008)
J. Belmonte-Beitia, V. M. Pérez-García, V. Vekslerchik, P. Torres -
Localized nonlinear waves in systems with time- and space-modulated nonlinearities
Physical Review Letters 100, 164102 (2008).
J. Belmonte-Beitia, V. M. Pérez-García, V. Vekslerchik, V. V. Konotop -
Stability of excited states of a Bose-Einstein condensate in an anharmonic trap
Physical Review A, 78, 013606 (2008).
D. A. Zezyulin, G. L. Alfimov, V. V. Konotop, V. M. Perez-Garcia -
Supersolitons: Solitonic excitations in atomic soliton chains
Physical Review Letters 101, 144101 (2008).
D. Novoa, B. A. Malomed, H. Michinel, V. M. Perez-Garcia -
Collapse in boson-fermion mixtures with all-repulsive interactions
Physical Review A 76, 043620 (2007).
V. I. Prytula, V. V. Konotop, V. M. Pérez-García, V. E. Vekslerchik -
Control of nonlinear modes by scattering-length management in Bose-Einstein condensates
Physical Review A 76, 013621 (2007).
D. A. Zezyulin, G. L. Alfimov, V. V. Konotop, V. M. Pérez-García -
Enhanced box and prism assisted algorithms for computing the correlation dimension
Chaos, Solitons and Fractals, 34, 509-518 (2007).
A. Bueno-Orovio, V. M. Pérez-García -
Levitation of spinor Bose-Einstein condensates: Macroscopic manifestation of the Franck-Condon effect
Europhysics Letters 80, 50005 (2007).
K. Nakamura, A. Kohi, H. Yamasaki, V. M. Pérez-García, V. V. Konotop -
Lie symmetries and solitons in nonlinear systems with spatially inhomogeneous nonlinearities
Physical Review Letters 98, 064102 (2007).
J. Belmonte-Beitia, V. M. Perez-Garcia, V. Vekslerchik, P. Torres -
Modulational instability, solitons and periodic waves in models of quantum degenerate Boson-Fermion mixtures
Chaos, Solitons and Fractals, 32, 1268-1277 (2007).
J. Belmonte, V. M. Pérez-García, V. Vekslerchik -
Stabilization of high-order solutions of the cubic nonlinear Schrödinger equation
Physical Review E 75, 046609 (2007) .
A. Alexandrescu, G. D. Montesinos, V. M. Pérez-García -
Symmetry-assisted vorticity control in Bose-Einstein condensates
Physical Review A 75, 033618 (2007).
V. M. Perez-Garcia, Miguel A. Garcia-March, A. Ferrando -
The method of moments for Nonlinear Schrodinger Equations: Theory and Applications
SIAM Journal on Applied Mathematics 67, 990-1015 (2007).
V. M. Pérez-García, G. D. Montesinos, P. Torres -
Analysis of an atom laser based on the spatial control of the scattering length
Physical Review A, 74, 013619 (2006).
A. Vázquez-Carpentier, H. Michinel, M. I. Rodas-Verde, V. M. Pérez-García -
Defect modes of a Bose-Einstein condensate in an optical lattice with a localized impurity
Physical Review A, 74, 023614 (2006).
V. A. Brazhnyi, V. V. Konotop, V. M. Pérez-García -
Dissipative solitons that cannot be trapped
Physical Review Letters 97, 254101 (2006).
R. Pardo, V. M. Pérez-García -
Driving defect modes of Bose-Einstein condensates in optical lattices
Physical Review Letters 96, 060403 (2006).
V. A. Brazhnyi, V. V. Konotop, V. M. Pérez-García -
Matter-wave solitons supported by dissipation
Physical Review A 73, 053610 (2006).
A. Alexandrescu, V. M. Pérez-García -
Similarity transformations of Nonlinear Schrodinger Equations with time-dependent coefficients
Physica D 221, 31-36 (2006).
V. M. Pérez-García, P. Torres, V. V. Konotop -
Spectral methods for Partial Differential Equations in Irregular Domains: The Spectral Smoothed Boundary Method
SIAM Journal on Scientific Computing, 28, 886-900 (2006).
A. Bueno Orovio, V. M. Pérez García, F. H. Fenton -
Spectral Smoothed Boundary Methods: The role of external boundary conditions
Numerical Methods for Partial Differential Equations 22, 435-448 (2006).
A. Bueno Orovio, V. M. Pérez-García -
Stable propagation of pulsed beams in Kerr focusing media with modulated dispersion
Journal of the Optical Society of America B 23, 56-61 (2006).
M. I. Rodas-Verde, G. D. Montesinos, H. Michinel, V. M. Pérez-García -
Turning light into a liquid via atomic coherence
Physical Review Letters 96, 023903 (2006).
H, Michinel, M. J. Paz Alonso, V. M. Pérez-García -
Controllable soliton emission from a Bose-Einstein condensate
Physical Review Letters, 95, 153903 (2005)
M. I. Rodas-Verde, H. Michinel, Víctor M. Pérez-García -
Del gas de fotones al líquido de luz
Revista Española de Física, 19, 52-55 (2005).
H. Michinel, V. M. Pérez-García, M. J. Paz-Alonso -
N-body dynamics of stabilized vector solitons
Chaos, 15, 033501 (2005).
G. D. Montesinos, M. I. Rodas-Verde, V. M. Pérez-García, H. Michinel -
Numerical studies of stabilized Townes solitons
Mathematics and Computers in Simulation, 69, 447-456 (2005).
G. D. Montesinos, V. M. Pérez-García -
Stabilized vortex solitons in layered Kerr media
Physical Review E, 71, 036624 (2005).
G. D. Montesinos, V. M. Pérez-García, H. Michinel, J. R. Salgueiro -
Symbiotic solitons in heteronuclear quantum degenerate mixtures
Physical Review A, 72, 033620 (2005).
V. M. Pérez-García, J. Belmonte -
Feshbach resonance induced shock waves in Bose-Einstein condensates
Physical Review Letters, 92 , 220403 (2004).
V. M. Pérez-García, V. V. Konotop, V. A. Brazhnyi -
Solitones estabilizados
Revista Española de Física, Julio-Septiembre, 57-60 (2004).
G. D. Montesinos, V. M. Pérez-García -
Stabilization of solitons of the multidimensional Nonlinear Schrodinger equation: Matter-wave breathers
Physica D, 191, 193-210 (2004).
G. D. Montesinos, V. M. Pérez García, P. Torres -
Stabilized two-dimensional vector solitons
Physical Review Letters, 92, 133901 (2004).
G. D. Montesinos, V. M. Pérez-García, H. Michinel -
Three-dimensional parallel vortex rings in Bose-Einstein condensates
Physical Review A, 70, 033605 (2004).
L. C. Crasovan, V. M. Pérez-García, I. Danaila, D. Mihalache, L. Torner -
A Numerical Scheme for the Simulation of Blow-up in the Nonlinear Schrödinger Equation
Applied Mathematics and Computation, 134, 271-291 (2003).
S. Jiménez, I. M. Llorente, A. Mancho, V. M. Pérez-García, L. Vázquez -
A Quasilocal Gross-Pitaevskii Equation for Bose-Einstein Condensates with Self-Attraction
Mathematics and Computers in Simulation, 62, 21-30 (2003).
J. J. García-Ripoll, V. V. Konotop, B. Malomed, V. M. Pérez-García -
Exact solutions of the two-mode model of multicomponent Bose-Einstein condensates
Discrete and Continuous Dynamical Systems B, 3, 179-192 (2003).
V. Vekslerchik, V. M. Pérez-García -
Numerical Methods for the Simulation of trapped Nonlinear Schrödinger Systems
Applied Mathematics and Computation, 144, 215-235 (2003)
V. M. Pérez-García, X. Liu -
Scattering of dipole-mode vector solitons: Theory and experiment
Physical Review E, 68, 016612 (2003).
W. Krolikowski, G. McCarthy, Y. S. Kivshar, C. Weilnau, C. Denz, J. J. García-Ripoll, V. M. Pérez-García -
Soliton molecules in trapped vector Nonlinear Schrödinger systems
Physical Review E , 67, 061804 (2003).
V. M. Pérez García, V. Vekslerchik -
Soliton molecules: Robust clusters of spatiotemporal optical solitons
Physical Review E, 67, 046610 (2003).
L. C. Crasovan, Y. Kartashov, D. Mihalache, Ll. Torner, Y.S. Kivshar, V. M. Pérez-García -
Stable vortex dipoles in Nonrotating Bose-Einstein condensates
Physical Review A, 68, 063609 (2003).
L. C. Crasovan, V. Vekslerchik, V. M. Pérez-García, J. P. Torres, D. Mihalache, Ll. Torner -
Globally-Linked Vortex Clusters in Trapped Wave Fields
Physical Review A, 66, 036612 (2002).
L. C. Crasovan, G.Molina-Terriza, J. P. Torres, Ll. Torner, V. M. Pérez-García, D. Mihalache -
On the applicability of the classical dipole-dipole interaction for polar Bose-Einstein condensates
Physics Letters A, 300, 348-352 (2002).
V. V. Konotop, V. M. Pérez-García -
Split vortices in optically coupled Bose-Einstein condensates
Physical Review A, 66, 021602(R) (2002).
J. J. García-Ripoll, V. M. Pérez-García, F. Sols -
Anomalous rotational properties of Bose-Einstein condensates in asymmetric traps
Physical Review A, 64, 013602 (2001).
J. J. García-Ripoll, V. M. Pérez-García -
Construction of exact solutions by spatial traslations in inhomogeneous nonlinear Schrödinger equations
Physical Review E 64, 056602 (2001).
J. J. García-Ripoll, V. M. Pérez-García, V. Vekslerchik -
Multipole spatial vector solitons
Optics Letters, 26, 435-437 (2001).
A. S. Desyatnikov, D.Neshev, E. A. Ostrovskaya, Y. S. Kivshar, W. Krolikowski, B. Luther-Davies, J. J. García-Ripoll, V. M. Pérez-García -
Optimizing Schrödinger functionals using Sobolev gradients: Applications to Quantum Mechanics nonlinear Optics
SIAM Journal on Scientific Computing, 23, 1315-1333 (2001).
J. J. García-Ripoll, V. M. Pérez-García -
Problemas de ecuaciones diferenciales
Ariel, Barcelona (2001)
V. M. Pérez García, P. Torres -
Structural instabilities of vortices in Bose-Einstein condensates
Physical Review Letters, 87, 140403 (2001).
J. J. García-Ripoll, G. Molina-Terriza, V. M. Pérez-García, L. Torner -
Vortex bending and tightly packed vortex lattices in Bose-Einstein condensates
Physical Review A, 64, 053611 (2001).
J. J. García-Ripoll, V. M. Pérez García -
Vortex nucleation and hysteresis phemena in rotating Bose-Einstein condensates
Physical Review A, 63, 041603 (2001).
J. J. García-Ripoll, V. M. Pérez-García -
Vortex revivals with trapped light
Optics Letters, 26, 1601-1603 (2001).
G. Molina-Terriza, Ll. Torner, E. Wrigth, J. J. García-Ripoll, V. M. Pérez-García -
Dipole-mode optical vector solitons
Nonlinear Optics: Materials, Fundamentals Applications, OSA Technical Digest (OSA, Washington DC, 2000).19, 107-109 (2000)
Y. S. Kivshar, E. A. Ostrovskaya, J.J. García-Ripoll, V. M. Pérez-García, W. Krolikowski, C. Weilnau, M. Geisser, G. McCarthy, C. Denz, B. Luther-Davies -
Dipole-mode vector solitons
Physical Review Letters, 85, 82-85 (2000).
J. J. García-Ripoll, V. M. Pérez-García, E. Ostrovskaya, Y. Kivshar -
Dynamics of quasi-collapse in nonlinear Schrödinger systems with nonlocal interactions
Physical Review E, 62, 4300-4308 (2000).
V. M. Pérez-García, V. V. Konotop, J. J. García-Ripoll -
Light molecules: Dipole-Mode Vector Solitons
Optics & Photonics News, Diciembre 2000, 36-37 (2000).
W. Krolikowski, B. Luther-Davies, G. McCarthy, M. Geisser, Y. Kivshar, E.Ostrovskaya, C. Weilnau, C. Denz, J. J. Garcia-Ripoll, V. M. Pérez-García -
Moment analysis of paraxial propagation in a Nonlinear graded index fiber
Journal of Optics B: Quantum Semiclassical Optics, 2, 353-358 (2000).
V. M. Pérez-García, P. Torres, H. Michinel, J. J.García-Ripoll -
Solutions of Gross-Pitaevskii equations beyond the hydrodynamic approximation: Application to the vortex problem
Physical Review A, 62, 033610 (2000).
V. V. Konotop, V. M. Pérez García -
Spin mopoles with Bose-Einstein condensates
Physical Review A, 61, 053609-053615 (2000).
J. J. García-Ripoll, J. I. Cirac, J. Anglin, V. M. Pérez-García, P. Zoller -
Stable and unstable vortices in multicomponent Bose-Einstein condensates
Physical Review Letters, 84, 4264-4267 (2000).
J. J. García-Ripoll, V. M. Pérez-García -
Two-mode theory of vortex stability in multicomponent Bose-Einstein condensates
Physical Review A, 62, 033601 (2000).
V. M. Pérez-García, J. J. García-Ripoll -
Atomic soliton reservoir: How to increase the critical atom number in negative-scattering-length Bose-Einstein gases
Physical Review A, 60, 1513-1519 (1999).
H. Michinel, V. M. Pérez-García, R. de la Fuente -
Barrier resonances in Bose-Einstein condensation
Physical Review A, 59, 2220-2229 (1999).
J. J. García-Ripoll, V. M. Pérez-García -
Cálculo Numérico para computación en Ciencia e Ingeniería : Enfoque práctico con MATLAB
Síntesis, Madrid (1999).
I. Martín-Llorente, V. M. Pérez García -
Extended parametric resonances in nonlinear Schrödinger systems
Physical Review Letters, 83, 1715-1718 (1999).
J. J. García-Ripoll, V. M. Pérez-García, P. Torres -
Stability of vortices in inhomogeneous Bose condensates subject to rotation: A three-dimensional analysis
Physical Review A, 60, 4864-4872 (1999).
J. J. García-Ripoll, V. M. Pérez-García -
Bose-Einstein solitons in highly asymmetric traps
Physical Review A, 57, 3837-3842 (1998).
V. M. Pérez-García, H. Michinel, H. Herrero -
100 Problemas de Mecánica
Alianza Universidad, Madrid (1997).
V. M. Pérez García, A. F. Rañada, L. Vázquez -
Dynamics of Bose-Einstein condensates: Variational Solutions of the Gross-Pitaevskii equations
Physical Review A, 56, 1424-1432 (1997).
V. M. Pérez-García, H. Michinel, I. Cirac, M. Lewenstein, P. Zoller -
Interaction of a dark soliton with a localized impurity
Physics Letters A, 236, 314-318 (1997).
V. V. Konotop, V. M. Pérez-García, Y. F. Tang, L. Vázquez -
Loss-induced transverse effects in lasers
Optics Communications, 143, 315-321 (1997).
O. G. Calderón, V. M. Pérez-García, J. Lega, J. M. Guerra -
Stability and collective excitations of a two-component Bose-Einstein condensed gas: A moment approach
Physical Review A, 56, 2978-2983 (1997).
T. Busch, J. I. Cirac, V. M. Pérez-García, P. Zoller -
Symplectic Methods for the Ablowitz-Ladik model
Applied Mathematics Computation, 82, 17-38 (1997).
Y. F. Tang, V. M. Pérez-García, L. Vázquez -
Computación científica en Supercomputadores
Revista Española de Física, 10, 62-65 (1996).
I. Martín, V. M. Pérez-García -
Different and coexisting routes to chaos along a common bifurcation path in the Maxwell-Bloch equations
International Journal of Bifurcations and Chaos, 6, 589-601 (1996).
I. Pastor, V. M. Pérez-García, F. Encinas, J. M. Guerra -
Hacia una visión unificada de los sistemas complejos
Revista Española de Física, 10, 22-29 (1996).
V. M. Pérez-García, H. Herrero -
Low energy excitations of a Bose-Einstein Condensate: A time-dependent variational analysis
Physical Review Letters, 77, 5320-5324 (1996).
V. M. Pérez-García, H. Michinel, J. I. Cirac, M. Lewenstein, P. Zoller -
Nonlinear Optics, Multigrid Methods Parallel Computing: A case study
SIAM News, April, 12-14 (1996).
I. Martín, V. M. Pérez García, F. Tirado, L. Vázquez -
Numerical solutions of the Maxwell-Bloch laser equations
Journal of Computational Physics, 129, 181-189 (1996).
G. Ben-Yu, I. Martín, V. M. Pérez-García, L. Vázquez -
Symplectic Methods for the Nonlinear Schrödinger Equation
Computers and Mathematics with Applications, 32, 73-83 (1996).
Y. F. Tang, L. Vázquez, F. Zang, V. M. Pérez-García -
Transverse mode selection in single-longitudinal mode lasers
Physical Review A, 53, 3490-3496 (1996).
O. Gómez-Calderón, V. M. Pérez-García, I. Martín, J. M. Guerra -
Nonlinear Klein-Gordon Schrödinger Systems: Theory and Applications
World Scientific, Singapore (1995).
L. Vázquez, L. Streit, V. M. Pérez-García (Eds.) -
Numerical Simulation of Nonlinear Schrödinger Systems: A New Conservative Scheme
Applied Mathematics Computation, 71, 164-177 (1995).
Z. Fei, V. M. Pérez-García, L. Vázquez -
Order-disorder transitions in a dye laser dynamics
Physical Review A, 52, 2392-2400 (1995).
V. M. Pérez-García, I. Pastor, J. M. Guerra -
The Nonlinear Schrödinger equation with dissipation and the moment method
Physics Letters A, 202, 176-182 (1995).
V. M. Pérez-García, M. A. Porras, L. Vázquez -
Numerical Aspects and Solution of Some Nonlinear Schrödinger Systems on a Distributed Parallel Computer
Proceedings of the Second Euromicro Workshop on Parallel Distributed Processing, IEEE Computer Society Press, 245-252 (1994)
I. Martín, F. Tirado, L. Vázquez, V. M. Pérez-García -
Weak turbulence in a high Fresnel number dye laser
International Journal of Bifurcations and Chaos, 4, 1363-1368 (1994).
V. M. Pérez-García, J. M. Guerra -
Weak turbulent behavior and dynamical frequency locking in a high Fresnel number laser
Physical Review A, 50, 1646-1663 (1994).
V. M. Pérez-García, J. M. Guerra -
Chiral vs. Symmetric States in Optical Isomers
Nuovo Cimento D, 15, 621-629 (1993).
V. M. Pérez-García, I. Gonzalo, J. L. Pérez Díaz -
Nonlinear plane wave solutions to the semiclassic Maxwell-Bloch laser equations
Physica D, 66, 412-426 (1993).
I. Pastor, V. M. Pérez-García, F. Encinas, J. M. Guerra, L. Vázquez -
Ordered and chaotic behaviour of two coupled Van der Pol oscillators
Physical Review E, 48, 171-182 (1993).
I. Pastor, V. M. Pérez-García, F. Encinas, J. M. Guerra -
Moléculas Quirales y Mecánica Cuántica: ¿El fin de una `paradoja'?
Revista Española de Física, 6, 38-41 (1992).
I. Gonzalo, J. L. Pérez Díaz, V. M. Pérez-García -
On the integrability of the classical hydrogen atom in a magnetic field
European Journal of Physics, 13, 160-166 (1992).
V. M. Pérez-García, J. I. Martín, A. F. Rañada -
Theory of the stability of the quantum chiral state
Physics Letters A, 167, 377-382 (1992).
V. M. Pérez-García, I. Gonzalo, J. L. Pérez Díaz -
Chirality and electronic state: A new explanation of the stability of chiral molecules
Physics Letters A, 160, 453-456 (1991).
J. L. Pérez Díaz, V. M. Pérez-García, I. Gonzalo -
Inexistence of the second integral of motion of the classical hydrogen atom in a magnetic field
Anales de Física A, 87, 48-54 (1991).
J. I. Martín, V. M. Pérez-García, A. F. Rañada
Projects
- Early identification of relapse and treatment optimization in acute lymphoblastic leukaemias through mathematical modelling and discriminant analysis
Junta de Andalucía (2020 - 2023) - Improving cell therapies in neuroblastoma through mathematical modelling
NeN Association (2020 - 2023) - Mathematical models in Oncology
Ministerio de Ciencia e Innovación (Spain) (2020 - 2023) - Mathematical models of tumor growth and response to therapies
Junta de Comunidades de Castilla-La Mancha (2018 - 2021) - Relapse 0: Mathematics against children's leukemias
FECYT: Fundación Española para la Ciencia y la Tecnología (2018 - 2020) - Therapy Optimization in Glioblastoma: An integrative human data-based approach using mathematical models (Stage II)
James S. Mc. Donnell Foundation (USA) (2018 - 2021) - Mathematical Oncology: Models, Analysis and Applications
Ministerio de Economía y Competitividad (2016 - 2019)
Pérez García, Victor M.
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Graduate (Complutense U., 1991) PhD (Complutense U., 1995). Associate professor (1997) and full professor (2002) in Applied Mathematics at the Mathematics Department of the University of Castilla-La Mancha. Founding (2007-2012) and current (2016-) director of the Institute of Applied Mathematics in Science and Engineering at University of Castilla-La Mancha. Director of the department of mathematics (2005-2008, 2012-2016) of the same university. He has published more than 150 ISI-indexed research papers with 5500 citations and has an H-index of 37. He serves in the editorial boards of "Cancers", "European Radiology" and is editor in chief of "Physica D". He is a member of the scientific committees of the Spanish Royal Society of Mathematics and the "Mathematical Action against coronavirus". He has been a member of the Marie Curie evaluation committee and of many international project evaluation boards. His main field of research is the application of mathematical modeling to oncology. |
Publications
- Collapse in coupled Nonlinear Schrodinger equations: Sufficient conditions and Applications
Physica D 238, 1462-1467 (2009).
V. Prytula, V. Vekslerchik, V.M. Perez-Garcia - Dissipation-induced coherent structures in Bose-Einstein condensates
Phys. Rev. Lett. 102, 144101 (2009) .
V. A. Brazhnyi, V. V. Konotop, V. M. Perez-Garcia, H. Ott - Exact Bright and Dark Spatial Soliton Solutions in Saturable Nonlinear Media
Chaos, Solitons and Fractals, 41, 1791-1798 (2009)
G. F. Calvo, J. Belmonte-Beitia, V. M. Perez-Garcia - Liquidlike dynamics of optical beams in tailored coherent media
Physical Review A 79, 013833 (2009)
A. Alexandrescu, H. Michinel, V. M. Pérez-García - Localization phenomena in Nonlinear Schrodinger equations with spatially inhomogeneous nonlinearities: Theory and applications to Bose-Einstein condensates
Physica D 238, 1352-1361 (2009)
V. M. Perez-Garcia, R. Pardo - Localized and periodic exact solutions to the nonlinear Schrodinger equation with spatially modulated parameters: Linear and nonlinear lattices
Chaos, Solitons and Fractals 41, 1158–1166 (2009)
J. Belmonte-Beitia, V. V. Konotop, V. M. Perez Garcia, V. E. Vekslerchik - Mapped Chebyshev pseudospectral method to study multiple scale phenomena
Computers Physics Communications 180, 912–919 (2009)
A. Alexandrescu, A. Bueno-Orovio, J. R. Salgueiro, V. M. Perez-Garcia - Nonlinear phenomena in degenerate quantum gases
Physica D 238, 1289-1298 (2009).
V. M. Perez-Garcia, N. G. Berloff, P. G. Kevrekidis, V. V. Konotop, B. A. Malomed - Nonperturbative vector solitary waves in four-level coherent media
Physical Review A 79, 063843 (2009)
A. Alexandrescu, J. R. Salgueiro, V. M. Pérez-García, H. Michinel - Solitary waves for linearly coupled nonlinear Schrodinger equations with inhomogeneous coefficients
Journal of Nonlinear Science, 19, 437-451 (2009).
J. Belmonte-Beitia, V. M. Perez-Garcia, P. J. Torres - Eigenvalue cut-off in the cubic-quintic nonlinear Schrodinger equation
Physical Review E, 78, 027601 (2008).
V. Prytula, V. Vekslerchik, V. M. Pérez-García - Lie Symmetries, qualitative analysis and exact solutions of nonlinear Schrödinger equations with inhomogeneous nonlinearities
Discrete and Continuous Dynamical Systems B, 9, 221-233 (2008)
J. Belmonte-Beitia, V. M. Pérez-García, V. Vekslerchik, P. Torres - Localized nonlinear waves in systems with time- and space-modulated nonlinearities
Physical Review Letters 100, 164102 (2008).
J. Belmonte-Beitia, V. M. Pérez-García, V. Vekslerchik, V. V. Konotop - Stability of excited states of a Bose-Einstein condensate in an anharmonic trap
Physical Review A, 78, 013606 (2008).
D. A. Zezyulin, G. L. Alfimov, V. V. Konotop, V. M. Perez-Garcia - Supersolitons: Solitonic excitations in atomic soliton chains
Physical Review Letters 101, 144101 (2008).
D. Novoa, B. A. Malomed, H. Michinel, V. M. Perez-Garcia - Collapse in boson-fermion mixtures with all-repulsive interactions
Physical Review A 76, 043620 (2007).
V. I. Prytula, V. V. Konotop, V. M. Pérez-García, V. E. Vekslerchik - Control of nonlinear modes by scattering-length management in Bose-Einstein condensates
Physical Review A 76, 013621 (2007).
D. A. Zezyulin, G. L. Alfimov, V. V. Konotop, V. M. Pérez-García - Enhanced box and prism assisted algorithms for computing the correlation dimension
Chaos, Solitons and Fractals, 34, 509-518 (2007).
A. Bueno-Orovio, V. M. Pérez-García - Levitation of spinor Bose-Einstein condensates: Macroscopic manifestation of the Franck-Condon effect
Europhysics Letters 80, 50005 (2007).
K. Nakamura, A. Kohi, H. Yamasaki, V. M. Pérez-García, V. V. Konotop - Lie symmetries and solitons in nonlinear systems with spatially inhomogeneous nonlinearities
Physical Review Letters 98, 064102 (2007).
J. Belmonte-Beitia, V. M. Perez-Garcia, V. Vekslerchik, P. Torres - Modulational instability, solitons and periodic waves in models of quantum degenerate Boson-Fermion mixtures
Chaos, Solitons and Fractals, 32, 1268-1277 (2007).
J. Belmonte, V. M. Pérez-García, V. Vekslerchik - Stabilization of high-order solutions of the cubic nonlinear Schrödinger equation
Physical Review E 75, 046609 (2007) .
A. Alexandrescu, G. D. Montesinos, V. M. Pérez-García - Symmetry-assisted vorticity control in Bose-Einstein condensates
Physical Review A 75, 033618 (2007).
V. M. Perez-Garcia, Miguel A. Garcia-March, A. Ferrando - The method of moments for Nonlinear Schrodinger Equations: Theory and Applications
SIAM Journal on Applied Mathematics 67, 990-1015 (2007).
V. M. Pérez-García, G. D. Montesinos, P. Torres - Analysis of an atom laser based on the spatial control of the scattering length
Physical Review A, 74, 013619 (2006).
A. Vázquez-Carpentier, H. Michinel, M. I. Rodas-Verde, V. M. Pérez-García - Defect modes of a Bose-Einstein condensate in an optical lattice with a localized impurity
Physical Review A, 74, 023614 (2006).
V. A. Brazhnyi, V. V. Konotop, V. M. Pérez-García - Dissipative solitons that cannot be trapped
Physical Review Letters 97, 254101 (2006).
R. Pardo, V. M. Pérez-García - Driving defect modes of Bose-Einstein condensates in optical lattices
Physical Review Letters 96, 060403 (2006).
V. A. Brazhnyi, V. V. Konotop, V. M. Pérez-García - Matter-wave solitons supported by dissipation
Physical Review A 73, 053610 (2006).
A. Alexandrescu, V. M. Pérez-García - Similarity transformations of Nonlinear Schrodinger Equations with time-dependent coefficients
Physica D 221, 31-36 (2006).
V. M. Pérez-García, P. Torres, V. V. Konotop - Spectral methods for Partial Differential Equations in Irregular Domains: The Spectral Smoothed Boundary Method
SIAM Journal on Scientific Computing, 28, 886-900 (2006).
A. Bueno Orovio, V. M. Pérez García, F. H. Fenton - Spectral Smoothed Boundary Methods: The role of external boundary conditions
Numerical Methods for Partial Differential Equations 22, 435-448 (2006).
A. Bueno Orovio, V. M. Pérez-García - Stable propagation of pulsed beams in Kerr focusing media with modulated dispersion
Journal of the Optical Society of America B 23, 56-61 (2006).
M. I. Rodas-Verde, G. D. Montesinos, H. Michinel, V. M. Pérez-García - Turning light into a liquid via atomic coherence
Physical Review Letters 96, 023903 (2006).
H, Michinel, M. J. Paz Alonso, V. M. Pérez-García - Controllable soliton emission from a Bose-Einstein condensate
Physical Review Letters, 95, 153903 (2005)
M. I. Rodas-Verde, H. Michinel, Víctor M. Pérez-García - Del gas de fotones al líquido de luz
Revista Española de Física, 19, 52-55 (2005).
H. Michinel, V. M. Pérez-García, M. J. Paz-Alonso - N-body dynamics of stabilized vector solitons
Chaos, 15, 033501 (2005).
G. D. Montesinos, M. I. Rodas-Verde, V. M. Pérez-García, H. Michinel - Numerical studies of stabilized Townes solitons
Mathematics and Computers in Simulation, 69, 447-456 (2005).
G. D. Montesinos, V. M. Pérez-García - Stabilized vortex solitons in layered Kerr media
Physical Review E, 71, 036624 (2005).
G. D. Montesinos, V. M. Pérez-García, H. Michinel, J. R. Salgueiro - Symbiotic solitons in heteronuclear quantum degenerate mixtures
Physical Review A, 72, 033620 (2005).
V. M. Pérez-García, J. Belmonte - Feshbach resonance induced shock waves in Bose-Einstein condensates
Physical Review Letters, 92 , 220403 (2004).
V. M. Pérez-García, V. V. Konotop, V. A. Brazhnyi - Solitones estabilizados
Revista Española de Física, Julio-Septiembre, 57-60 (2004).
G. D. Montesinos, V. M. Pérez-García - Stabilization of solitons of the multidimensional Nonlinear Schrodinger equation: Matter-wave breathers
Physica D, 191, 193-210 (2004).
G. D. Montesinos, V. M. Pérez García, P. Torres - Stabilized two-dimensional vector solitons
Physical Review Letters, 92, 133901 (2004).
G. D. Montesinos, V. M. Pérez-García, H. Michinel - Three-dimensional parallel vortex rings in Bose-Einstein condensates
Physical Review A, 70, 033605 (2004).
L. C. Crasovan, V. M. Pérez-García, I. Danaila, D. Mihalache, L. Torner - A Numerical Scheme for the Simulation of Blow-up in the Nonlinear Schrödinger Equation
Applied Mathematics and Computation, 134, 271-291 (2003).
S. Jiménez, I. M. Llorente, A. Mancho, V. M. Pérez-García, L. Vázquez - A Quasilocal Gross-Pitaevskii Equation for Bose-Einstein Condensates with Self-Attraction
Mathematics and Computers in Simulation, 62, 21-30 (2003).
J. J. García-Ripoll, V. V. Konotop, B. Malomed, V. M. Pérez-García - Exact solutions of the two-mode model of multicomponent Bose-Einstein condensates
Discrete and Continuous Dynamical Systems B, 3, 179-192 (2003).
V. Vekslerchik, V. M. Pérez-García - Numerical Methods for the Simulation of trapped Nonlinear Schrödinger Systems
Applied Mathematics and Computation, 144, 215-235 (2003)
V. M. Pérez-García, X. Liu - Scattering of dipole-mode vector solitons: Theory and experiment
Physical Review E, 68, 016612 (2003).
W. Krolikowski, G. McCarthy, Y. S. Kivshar, C. Weilnau, C. Denz, J. J. García-Ripoll, V. M. Pérez-García - Soliton molecules in trapped vector Nonlinear Schrödinger systems
Physical Review E , 67, 061804 (2003).
V. M. Pérez García, V. Vekslerchik - Soliton molecules: Robust clusters of spatiotemporal optical solitons
Physical Review E, 67, 046610 (2003).
L. C. Crasovan, Y. Kartashov, D. Mihalache, Ll. Torner, Y.S. Kivshar, V. M. Pérez-García - Stable vortex dipoles in Nonrotating Bose-Einstein condensates
Physical Review A, 68, 063609 (2003).
L. C. Crasovan, V. Vekslerchik, V. M. Pérez-García, J. P. Torres, D. Mihalache, Ll. Torner - Globally-Linked Vortex Clusters in Trapped Wave Fields
Physical Review A, 66, 036612 (2002).
L. C. Crasovan, G.Molina-Terriza, J. P. Torres, Ll. Torner, V. M. Pérez-García, D. Mihalache - On the applicability of the classical dipole-dipole interaction for polar Bose-Einstein condensates
Physics Letters A, 300, 348-352 (2002).
V. V. Konotop, V. M. Pérez-García - Split vortices in optically coupled Bose-Einstein condensates
Physical Review A, 66, 021602(R) (2002).
J. J. García-Ripoll, V. M. Pérez-García, F. Sols - Anomalous rotational properties of Bose-Einstein condensates in asymmetric traps
Physical Review A, 64, 013602 (2001).
J. J. García-Ripoll, V. M. Pérez-García - Construction of exact solutions by spatial traslations in inhomogeneous nonlinear Schrödinger equations
Physical Review E 64, 056602 (2001).
J. J. García-Ripoll, V. M. Pérez-García, V. Vekslerchik - Multipole spatial vector solitons
Optics Letters, 26, 435-437 (2001).
A. S. Desyatnikov, D.Neshev, E. A. Ostrovskaya, Y. S. Kivshar, W. Krolikowski, B. Luther-Davies, J. J. García-Ripoll, V. M. Pérez-García - Optimizing Schrödinger functionals using Sobolev gradients: Applications to Quantum Mechanics nonlinear Optics
SIAM Journal on Scientific Computing, 23, 1315-1333 (2001).
J. J. García-Ripoll, V. M. Pérez-García - Problemas de ecuaciones diferenciales
Ariel, Barcelona (2001)
V. M. Pérez García, P. Torres - Structural instabilities of vortices in Bose-Einstein condensates
Physical Review Letters, 87, 140403 (2001).
J. J. García-Ripoll, G. Molina-Terriza, V. M. Pérez-García, L. Torner - Vortex bending and tightly packed vortex lattices in Bose-Einstein condensates
Physical Review A, 64, 053611 (2001).
J. J. García-Ripoll, V. M. Pérez García - Vortex nucleation and hysteresis phemena in rotating Bose-Einstein condensates
Physical Review A, 63, 041603 (2001).
J. J. García-Ripoll, V. M. Pérez-García - Vortex revivals with trapped light
Optics Letters, 26, 1601-1603 (2001).
G. Molina-Terriza, Ll. Torner, E. Wrigth, J. J. García-Ripoll, V. M. Pérez-García - Dipole-mode optical vector solitons
Nonlinear Optics: Materials, Fundamentals Applications, OSA Technical Digest (OSA, Washington DC, 2000).19, 107-109 (2000)
Y. S. Kivshar, E. A. Ostrovskaya, J.J. García-Ripoll, V. M. Pérez-García, W. Krolikowski, C. Weilnau, M. Geisser, G. McCarthy, C. Denz, B. Luther-Davies - Dipole-mode vector solitons
Physical Review Letters, 85, 82-85 (2000).
J. J. García-Ripoll, V. M. Pérez-García, E. Ostrovskaya, Y. Kivshar - Dynamics of quasi-collapse in nonlinear Schrödinger systems with nonlocal interactions
Physical Review E, 62, 4300-4308 (2000).
V. M. Pérez-García, V. V. Konotop, J. J. García-Ripoll - Light molecules: Dipole-Mode Vector Solitons
Optics & Photonics News, Diciembre 2000, 36-37 (2000).
W. Krolikowski, B. Luther-Davies, G. McCarthy, M. Geisser, Y. Kivshar, E.Ostrovskaya, C. Weilnau, C. Denz, J. J. Garcia-Ripoll, V. M. Pérez-García - Moment analysis of paraxial propagation in a Nonlinear graded index fiber
Journal of Optics B: Quantum Semiclassical Optics, 2, 353-358 (2000).
V. M. Pérez-García, P. Torres, H. Michinel, J. J.García-Ripoll - Solutions of Gross-Pitaevskii equations beyond the hydrodynamic approximation: Application to the vortex problem
Physical Review A, 62, 033610 (2000).
V. V. Konotop, V. M. Pérez García - Spin mopoles with Bose-Einstein condensates
Physical Review A, 61, 053609-053615 (2000).
J. J. García-Ripoll, J. I. Cirac, J. Anglin, V. M. Pérez-García, P. Zoller - Stable and unstable vortices in multicomponent Bose-Einstein condensates
Physical Review Letters, 84, 4264-4267 (2000).
J. J. García-Ripoll, V. M. Pérez-García - Two-mode theory of vortex stability in multicomponent Bose-Einstein condensates
Physical Review A, 62, 033601 (2000).
V. M. Pérez-García, J. J. García-Ripoll - Atomic soliton reservoir: How to increase the critical atom number in negative-scattering-length Bose-Einstein gases
Physical Review A, 60, 1513-1519 (1999).
H. Michinel, V. M. Pérez-García, R. de la Fuente - Barrier resonances in Bose-Einstein condensation
Physical Review A, 59, 2220-2229 (1999).
J. J. García-Ripoll, V. M. Pérez-García - Cálculo Numérico para computación en Ciencia e Ingeniería : Enfoque práctico con MATLAB
Síntesis, Madrid (1999).
I. Martín-Llorente, V. M. Pérez García - Extended parametric resonances in nonlinear Schrödinger systems
Physical Review Letters, 83, 1715-1718 (1999).
J. J. García-Ripoll, V. M. Pérez-García, P. Torres - Stability of vortices in inhomogeneous Bose condensates subject to rotation: A three-dimensional analysis
Physical Review A, 60, 4864-4872 (1999).
J. J. García-Ripoll, V. M. Pérez-García - Bose-Einstein solitons in highly asymmetric traps
Physical Review A, 57, 3837-3842 (1998).
V. M. Pérez-García, H. Michinel, H. Herrero - 100 Problemas de Mecánica
Alianza Universidad, Madrid (1997).
V. M. Pérez García, A. F. Rañada, L. Vázquez - Dynamics of Bose-Einstein condensates: Variational Solutions of the Gross-Pitaevskii equations
Physical Review A, 56, 1424-1432 (1997).
V. M. Pérez-García, H. Michinel, I. Cirac, M. Lewenstein, P. Zoller - Interaction of a dark soliton with a localized impurity
Physics Letters A, 236, 314-318 (1997).
V. V. Konotop, V. M. Pérez-García, Y. F. Tang, L. Vázquez - Loss-induced transverse effects in lasers
Optics Communications, 143, 315-321 (1997).
O. G. Calderón, V. M. Pérez-García, J. Lega, J. M. Guerra - Stability and collective excitations of a two-component Bose-Einstein condensed gas: A moment approach
Physical Review A, 56, 2978-2983 (1997).
T. Busch, J. I. Cirac, V. M. Pérez-García, P. Zoller - Symplectic Methods for the Ablowitz-Ladik model
Applied Mathematics Computation, 82, 17-38 (1997).
Y. F. Tang, V. M. Pérez-García, L. Vázquez - Computación científica en Supercomputadores
Revista Española de Física, 10, 62-65 (1996).
I. Martín, V. M. Pérez-García - Different and coexisting routes to chaos along a common bifurcation path in the Maxwell-Bloch equations
International Journal of Bifurcations and Chaos, 6, 589-601 (1996).
I. Pastor, V. M. Pérez-García, F. Encinas, J. M. Guerra - Hacia una visión unificada de los sistemas complejos
Revista Española de Física, 10, 22-29 (1996).
V. M. Pérez-García, H. Herrero - Low energy excitations of a Bose-Einstein Condensate: A time-dependent variational analysis
Physical Review Letters, 77, 5320-5324 (1996).
V. M. Pérez-García, H. Michinel, J. I. Cirac, M. Lewenstein, P. Zoller - Nonlinear Optics, Multigrid Methods Parallel Computing: A case study
SIAM News, April, 12-14 (1996).
I. Martín, V. M. Pérez García, F. Tirado, L. Vázquez - Numerical solutions of the Maxwell-Bloch laser equations
Journal of Computational Physics, 129, 181-189 (1996).
G. Ben-Yu, I. Martín, V. M. Pérez-García, L. Vázquez - Symplectic Methods for the Nonlinear Schrödinger Equation
Computers and Mathematics with Applications, 32, 73-83 (1996).
Y. F. Tang, L. Vázquez, F. Zang, V. M. Pérez-García - Transverse mode selection in single-longitudinal mode lasers
Physical Review A, 53, 3490-3496 (1996).
O. Gómez-Calderón, V. M. Pérez-García, I. Martín, J. M. Guerra - Nonlinear Klein-Gordon Schrödinger Systems: Theory and Applications
World Scientific, Singapore (1995).
L. Vázquez, L. Streit, V. M. Pérez-García (Eds.) - Numerical Simulation of Nonlinear Schrödinger Systems: A New Conservative Scheme
Applied Mathematics Computation, 71, 164-177 (1995).
Z. Fei, V. M. Pérez-García, L. Vázquez - Order-disorder transitions in a dye laser dynamics
Physical Review A, 52, 2392-2400 (1995).
V. M. Pérez-García, I. Pastor, J. M. Guerra - The Nonlinear Schrödinger equation with dissipation and the moment method
Physics Letters A, 202, 176-182 (1995).
V. M. Pérez-García, M. A. Porras, L. Vázquez - Numerical Aspects and Solution of Some Nonlinear Schrödinger Systems on a Distributed Parallel Computer
Proceedings of the Second Euromicro Workshop on Parallel Distributed Processing, IEEE Computer Society Press, 245-252 (1994)
I. Martín, F. Tirado, L. Vázquez, V. M. Pérez-García - Weak turbulence in a high Fresnel number dye laser
International Journal of Bifurcations and Chaos, 4, 1363-1368 (1994).
V. M. Pérez-García, J. M. Guerra - Weak turbulent behavior and dynamical frequency locking in a high Fresnel number laser
Physical Review A, 50, 1646-1663 (1994).
V. M. Pérez-García, J. M. Guerra - Chiral vs. Symmetric States in Optical Isomers
Nuovo Cimento D, 15, 621-629 (1993).
V. M. Pérez-García, I. Gonzalo, J. L. Pérez Díaz - Nonlinear plane wave solutions to the semiclassic Maxwell-Bloch laser equations
Physica D, 66, 412-426 (1993).
I. Pastor, V. M. Pérez-García, F. Encinas, J. M. Guerra, L. Vázquez - Ordered and chaotic behaviour of two coupled Van der Pol oscillators
Physical Review E, 48, 171-182 (1993).
I. Pastor, V. M. Pérez-García, F. Encinas, J. M. Guerra - Moléculas Quirales y Mecánica Cuántica: ¿El fin de una `paradoja'?
Revista Española de Física, 6, 38-41 (1992).
I. Gonzalo, J. L. Pérez Díaz, V. M. Pérez-García - On the integrability of the classical hydrogen atom in a magnetic field
European Journal of Physics, 13, 160-166 (1992).
V. M. Pérez-García, J. I. Martín, A. F. Rañada - Theory of the stability of the quantum chiral state
Physics Letters A, 167, 377-382 (1992).
V. M. Pérez-García, I. Gonzalo, J. L. Pérez Díaz - Chirality and electronic state: A new explanation of the stability of chiral molecules
Physics Letters A, 160, 453-456 (1991).
J. L. Pérez Díaz, V. M. Pérez-García, I. Gonzalo - Inexistence of the second integral of motion of the classical hydrogen atom in a magnetic field
Anales de Física A, 87, 48-54 (1991).
J. I. Martín, V. M. Pérez-García, A. F. Rañada
Projects
- Early identification of relapse and treatment optimization in acute lymphoblastic leukaemias through mathematical modelling and discriminant analysis
Junta de Andalucía (2020 - 2023) - Improving cell therapies in neuroblastoma through mathematical modelling
NeN Association (2020 - 2023) - Mathematical models in Oncology
Ministerio de Ciencia e Innovación (Spain) (2020 - 2023) - Mathematical models of tumor growth and response to therapies
Junta de Comunidades de Castilla-La Mancha (2018 - 2021) - Relapse 0: Mathematics against children's leukemias
FECYT: Fundación Española para la Ciencia y la Tecnología (2018 - 2020) - Therapy Optimization in Glioblastoma: An integrative human data-based approach using mathematical models (Stage II)
James S. Mc. Donnell Foundation (USA) (2018 - 2021) - Mathematical Oncology: Models, Analysis and Applications
Ministerio de Economía y Competitividad (2016 - 2019)
