Publications by the researcher in collaboration with JUAN SEGUNDO SOLER VIZCAINO (19)

2017

  1. Qualitative behaviour for flux-saturated mechanisms: Travelling waves, waiting time and smoothing effects

    Journal of the European Mathematical Society, Vol. 19, Núm. 2, pp. 441-472

2016

  1. Pattern formation in a flux limited reaction–diffusion equation of porous media type

    Inventiones Mathematicae, Vol. 206, Núm. 1, pp. 57-108

2015

  1. Modeling hedgehog signaling through flux-saturated mechanisms

    Methods in Molecular Biology (Humana Press Inc.), pp. 19-33

2013

  1. Existence of steady states for the maxwell-schrödinger-poisson system: Exploring the applicability of the concentration-compactness principle

    Mathematical Models and Methods in Applied Sciences, Vol. 23, Núm. 10, pp. 1915-1938

  2. Morphogenetic action through flux-limited spreading

    Physics of Life Reviews, Vol. 10, Núm. 4, pp. 457-475

  3. On flux-limited morphogenesis. Reply to the comments on "Morphogenetic action through flux-limited spreading".

    Physics of Life Reviews

  4. On the analysis of traveling waves to a nonlinear flux limited reaction-diffusion equation

    Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire, Vol. 30, Núm. 1, pp. 141-155

2011

  1. Vanishing viscosity regimes and nonstandard shock relations for semiconductor superlattices models

    SIAM Journal on Applied Mathematics, Vol. 71, Núm. 1, pp. 180-199

2010

  1. Dispersive behavior in galactic dynamics

    Discrete and Continuous Dynamical Systems - Series B, Vol. 14, Núm. 1, pp. 1-16

  2. Virial inequalities for steady states in relativistic galactic dynamics

    Nonlinearity, Vol. 23, Núm. 8, pp. 1851-1871

2009

  1. Asymptotic behavior and orbital stability of galactic dynamics in relativistic scalar gravity

    Archive for Rational Mechanics and Analysis, Vol. 194, Núm. 3, pp. 743-773

  2. On a unified theory of cold dark matter halos based on collisionless Boltzmann-Poisson polytropes

    Physica A: Statistical Mechanics and its Applications, Vol. 388, Núm. 12, pp. 2321-2330

2006

  1. Long time behaviour to the Schrödinger-Poisson-Xα systems

    Lecture Notes in Physics, Vol. 690, pp. 217-232

  2. Orbital stability for polytropic galaxies

    Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire, Vol. 23, Núm. 6, pp. 781-802

2004

  1. Asymptotic Behaviour for the Vlasov-Poisson System in the Stellar-Dynamics Case

    Archive for Rational Mechanics and Analysis, Vol. 171, Núm. 3, pp. 301-327

  2. Asymptotic decay estimates for the repulsive Schrödinger-Poisson system

    Mathematical Methods in the Applied Sciences, Vol. 27, Núm. 4, pp. 371-380

  3. Long-time dynamics of the Schrödinger-Poisson-Slater system

    Journal of Statistical Physics, Vol. 114, Núm. 1-2, pp. 179-204

  4. Low-field limit for a nonlinear discrete drift-diffusion model arising in semiconductor superlattices theory

    SIAM Journal on Applied Mathematics, Vol. 64, Núm. 5, pp. 1526-1549

2002

  1. Nonlinear stochastic discrete drift-diffusion theory of charge fluctuations and domain relocation times in semiconductor superlattices

    Physical Review B - Condensed Matter and Materials Physics, Vol. 65, Núm. 19, pp. 1953081-1953088