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López JL,
A repertoire of repulsive Keller-Segel models with logarithmic sensitivity: derivation, traveling waves and quasi-stationary dynamics.
Mathematical Methods in the Applied Sciences
46 (2023), pp. 2197-2221.
López JL,
On nonstandard chemotactic dynamics with logistic growth induced by a modified complex Ginzburg-Landau equation.
Studies in Applied Mathematics
148 (2022), pp. 248-269.
Alejo MA, López JL,
Modeling chemotaxis with nonstandard production/degradation mechanisms from Doebner-Goldin theory: existence of solitary waves.
Physica D: Nonlinear Phenomena
426 (2021),132989.
López JL,
A quantum approach to Keller-Segel dynamics via a dissipative nonlinear Schrödinger equation.
Discrete and Continuous Dynamical Systems - Serie A
41(6) (2021), pp. 2601-2617.
Alejo MA, López JL,
On global solutions to some non-Markovian quantum kinetic models of Fokker-Planck type.
Zeitschrift für Angewandte Mathematik und Physik
71(72) (2020), 33 pp.
López JL,
Well-posedness of a Schrödinger-Poisson model describing nonliner chiral effects.
Nonlinearity
33(9) (2020), pp. 4837-4856.
López JL,
Derivation of the zeroth retardation order Boltzmann equation from nonstandard space-time Wigner quantum kinetics.
Computers and Mathematics with Applications
78(8) (2019), pp. 2512-2524.
López JL, Soler J,
A space-time Wigner function approach to long time Schrödinger-Poisson dynamics.
SIAM Journal on Mathematical Analysis
49(6) (2017), pp. 4915-4941.
López JL, Soler J,
A non-Markovian phase space approach to Schrödinger dynamics: The space-time Wigner transform.
Multiscale Modeling and Simulation
14(1) (2016), pp. 430-451.
López JL, Soler J,
Mathematics and Biology: A round trip.
Physics of Life Reviews
12 (2015), pp. 79-80.
Guerrero P, López JL, Montejo-Gámez J,
A wavefunction description of quantum Fokker-Planck dissipation: derivation and numerical approximation of transient dynamics.
J. Physics A: Mathematical and Theoretical
47 (2014), 035303.
López JL, Montejo-Gámez J,
On the derivation and mathematical analysis of some quantum-mechanical models accounting for Fokker-Planck type dissipation: Phase space, Schrödinger and hydrodynamic descriptions.
Nanoscale Systems: Mathematical Modeling, Theory and Applications
2 (2013), pp. 49-80. ISSN (online): 2299-3290.
López JL, Montejo-Gámez J,
On viscous quantum hydrodynamics associated with nonlinear Schrödinger-Doebner-Goldin models.
Kinetic and Related Models
5(3) (2012), pp. 517-536.
Guerrero P, López JL, Montejo-Gámez J, Nieto J,
Wellposedness of a nonlinear, logarithmic Schrödinger equation of Doebner-Goldin type modeling quantum dissipation.
J. Nonlinear Science
22(5) (2012), pp. 631-663.
Jüngel A, López JL, Montejo-Gámez J,
A new derivation of the quantum Navier-Stokes equations in the Wigner-Fokker-Planck approach.
J. Statistical Physics
145 (2011), pp. 1661-673.
López JL, Montejo-Gámez J,
On a rigorous interpretation of the quantum Schrödinger-Langevin operator in bounded domains.
J. Mathematical Analysis and Applications
383(2) (2011), pp. 365-378.
Guerrero P, López JL, Nieto J,
Global H^1 solvability of the 3D logarithmic Schrödinger equation.
Nonlinear Analysis: Real World and Applications
11(1) (2010), pp. 79-87.
López JL, Montejo-Gámez J,
A hydrodynamic approach to multidimensional dissipation-based Schrödinger models from quantum Fokker-Planck dynamics.
Physica D: Nonlinear Phenomena
238(6) (2009), pp. 622-644.
Bokanowski O, López JL, Sánchez O, Soler J,
Long time behaviour to the Schrödinger-Poisson-X^alpha systems.
Lecture Notes in Physics
690 (2006), pp. 217-232.
López JL, Nieto J,
Global solutions of the mean-field, very high temperature Caldeira-Leggett master equation.
Quarterly of Applied Mathematics
64(1) (2006), pp. 189-199.
López JL,
Nonlinear Ginzburg-Landau type approach to quantum dissipation.
Physical Review E
69 (2004), 026110.
Cañizo JA, López JL, Nieto J,
Global L^1 theory and regularity for the 3D nonlinear Wigner-Poisson-Fokker-Planck system.
J. Differential Equations
198(2) (2004), pp. 356-373.
Arnold A, López JL, Markowich P, Soler J,
An analysis of quantum Fokker-Planck models: a Wigner function approach.
Revista Matemática Iberoamericana
20(3) (2004), pp. 771-814.
Degond P, Lemou M, López JL,
A kinetic description of anisotropic fluids with multivalued internal energy.
European Journal of Mechanics B / Fluids
22(5) (2003), pp. 487-509.
Frommlet F, López JL, Soler J, Toscani G,
Nonlinear rescalings, dispersion relations and conservation laws for some linear kinetic and quantum-kinetic problems.
Communications on Applied Nonlinear Analysis
10(3) (2003), pp. 1-20.
Bokanowski O, López JL, Soler J,
On an exchange interaction model for quantum transport: the Schrödinger-Poisson-Slater system.
Mathematical Models and Methods in Applied Sciences
13(10) (2003), pp. 1-16.
Degond P, Lemou M, López JL,
Fluids with multivalued internal energy: the anisotropic case.
IMA Volume 135: Transport in Transition Regimes
(2003), pp. 121-136.
López JL, Soler J, Toscani G,
Time rescaling and asymptotic behaviour of some fourth order degenerate diffusion equations.
Computers and Mathematics with Applications
43 (2002), pp. 172-736.
Bechouche P, López JL, Soler J,
Long-time asymptotics for semiconductor crystals.
Nonlinear Analysis: Theory, Methods & Applications
47(9) (2001), pp. 5861-5872.
López JL, Soler J,
Asymptotic behaviour to the 3-D Schrödinger/Hartree-Poisson and Wigner-Poisson systems.
Mathematical Models and Methods in Applied Sciences
10(6) (2000), pp. 923-943.
Degond P, López JL, Poupaud F, Schmeiser C,
Existence of solutions of a kinetic equation modelling cometary flows.
J. Statistical Physics
96 (1999), pp. 361-376.
Degond P, López JL, Peyrard PF,
On the macroscopic dynamics induced by a model wave-particle collision operator.
Continuum Mechanics and Thermodynamics
10 (1998), pp. 153-178.
López JL, Soler J,
Scaling limits in the 3D Schrödinger-Poisson system.
Applied Mathematics Letters
10(5) (1997), pp. 61-65.
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