J. Soler

发表

MULTICELLULAR BIOLOGICAL GROWING SYSTEMS: HYPERBOLIC LIMITS TOWARDS MACROSCOPIC DESCRIPTION

N. Bellomo, A. Bellouquid, J. Nieto, 2007 .

Flux-saturated porous media equations and applications

V. Caselles, J. Soler, J. Calvo, 2015 .

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

V. Caselles, J. Soler, J. Calvo, 2013, 1309.6789.

On the multiscale modeling of vehicular traffic: From kinetic to hydrodynamics

N. Bellomo, A. Bellouquid, J. Nieto, 2014 .

An Analysis of Quantum Fokker-Planck Models: A Wigner Function Approach

Juan Soler, Anton Arnold, José L. López, 2004 .

ON THE MATHEMATICAL THEORY OF THE DYNAMICS OF SWARMS VIEWED AS COMPLEX SYSTEMS

Juan Soler, Nicola Bellomo, N. Bellomo, 2012 .

Recent results and challenges in behavioral systems

F. Brezzi, N. Bellomo, J. Soler, 2020 .

Cooperation, competition, organization: The dynamics of interacting living populations

M. A. Herrero, J. Soler, 2015 .

Morphogenetic action through flux-limited spreading.

J. Soler, A. Ruiz i Altaba, I. Siegl-Cachedenier, 2013, Physics of life reviews.

PARABOLIC LIMIT AND STABILITY OF THE VLASOV–FOKKER–PLANCK SYSTEM

Juan Soler, Frédéric Poupaud, F. Poupaud, 2000 .

Hydrodynamic limit of a coupled Cucker–Smale system with strong and weak internal variable relaxation

Jeongho Kim, J. Soler, D. Poyato, 2021, Mathematical Models and Methods in Applied Sciences.

ON THE ASYMPTOTIC THEORY FROM MICROSCOPIC TO MACROSCOPIC GROWING TISSUE MODELS: AN OVERVIEW WITH PERSPECTIVES

Juan Soler, Nicola Bellomo, J. Nieto, 2012 .

Filippov trajectories and clustering in the Kuramoto model with singular couplings

J. Soler, Jinyeong Park, D. Poyato, 2018, 1809.04307.

ON A DISPERSIVE MODEL FOR THE UNZIPPING OF DOUBLE-STRANDED DNA MOLECULES

Juan Soler, J. Nieto, J. Nieto, 2014 .

Asymptotic Behaviour and Self-Similarity for the Three Dimensional Vlasov–Poisson–Fokker–Planck System

J. Carrillo, J. Vázquez, J. Soler, 1996 .

From a systems theory of sociology to modeling the onset and evolution of criminality

Juan Soler, Nicola Bellomo, Francesca Colasuonno, 2014, Networks Heterog. Media.

Modeling social crowds: Comment on "Human behaviours in evacuation crowd dynamics: From modelling to "big data" toward crisis management" by Nicola Bellomo et al.

Juan Soler, David Poyato, J. Soler, 2016, Physics of life reviews.

Asymptotic Behavior of an Initial-Boundary Value Problem for the Vlasov-Poisson-Fokker-Planck System

Juan Soler, José A. Carrillo, Luis L. Bonilla, 1997, SIAM J. Appl. Math..

Functional solutions for the Vlasov-Poisson system

J. Carrillo, J. Soler, 1997 .

Asymptotic behaviour for the 3-D Schrödinger-Poisson System in the attractive case with positive energy

J. Soler, E. Arriola, 1999 .

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

V. Caselles, J. Soler, J. Calvo, 2016, Inventiones mathematicae.

Scaling limits in the 3-D Schrödinger-Poisson system☆

J. Soler, J. López, 1997 .

Qualitative behaviour for flux-saturated mechanisms: travelling waves, waiting time and smoothing effects

V. Caselles, J. Soler, J. Calvo, 2014, 1402.1679.

On a unified theory of cold dark matter halos based on collisionless Boltzmann–Poisson polytropes

E. Battaner, J. Soler, E. Florido, 2009 .

ON THE DIFFICULT INTERPLAY BETWEEN LIFE, "COMPLEXITY", AND MATHEMATICAL SCIENCES

Juan Soler, Nicola Bellomo, D. Knopoff, 2013 .

Chemotaxis and cross-diffusion models in complex environments: Models and analytic problems toward a multiscale vision

N. Bellomo, J. Soler, M. Winkler, 2022, Mathematical Models and Methods in Applied Sciences.

On the Evolution of an Angle in a Vortex Patch

Juan Soler, José A. Carrillo, J. Carrillo, 2000, J. Nonlinear Sci..

Modeling invasion patterns in the glioblastoma battlefield

J. Soler, S. Casas-Tintó, M. Conte, 2020, bioRxiv.

Kinks and solitons in linear and nonlinear-diffusion Keller-Segel type models with logarithmic sensitivity

Juan Soler, Claudia Garc'ia, Juan Campos, 2021, 2102.13480.

Cross-diffusion and traveling waves in porous-media flux-saturated Keller–Segel models

J. Soler, J. Campos, M. Arias, 2018, Mathematical Models and Methods in Applied Sciences.

Modeling chemotaxis from $L^2$--closure moments in kinetic theory of active particles

Nicola Bellomo, J. Nieto, Abdelghani Bellouquid, 2013 .

MULTISCALE BIOLOGICAL TISSUE MODELS AND FLUX-LIMITED CHEMOTAXIS FOR MULTICELLULAR GROWING SYSTEMS

Juan Soler, Nicola Bellomo, Abdelghani Bellouquid, 2010 .

Euler-type equations and commutators in singular and hyperbolic limits of kinetic Cucker–Smale models

Juan Soler, David Poyato, J. Soler, 2016, 1611.00743.

Stability Results, Almost Global Generalized Beltrami Fields and Applications to Vortex Structures in the Euler Equations

J. Soler, A. Enciso, David Poyato, 2016, 1605.06626.

Hyperbolic versus Parabolic Asymptotics in Kinetic Theory toward Fluid Dynamic Models

Juan Soler, Juanjo Nieto, Abdelghani Bellouquid, 2013, SIAM J. Appl. Math..

A Variational Approach to the Schrödinger–Poisson System: Asymptotic Behaviour, Breathers, and Stability

J. Soler, E. Arriola, 2001 .

Existence of steady states for the Maxwell-Schr\"odinger-Poisson system: exploring the applicability of the concentration-compactness principle

Juan Soler, Jean Dolbeault, Isabelle Catto, 2013, 1306.3699.

Long-Time Dynamics of the Schrödinger–Poisson–Slater System

Juan Soler, Óscar Sánchez, J. Soler, 2004 .

Qualitative behavior and traveling waves for flux-saturated porous media equations arising in optimal mass transportation

J. Soler, J. Campos, 2016 .

On the analysis of traveling waves to a nonlinear flux limited reaction–diffusion equation

J. Soler, J. Campos, O. Sánchez, 2013 .

ON THE ANALYSIS OF TRAVELLING WAVES TO A NONLINEAR FLUX LIMITED REACTION–DIFFUSION EQUATION

J. Soler, J. Campos, O. Sánchez, 2009 .

ux limited reaction{diusion equation

J. Soler, J. Campos, 2008 .

On cubature with a minimal number of lines

J. Soler, 1987 .

Virial inequalities for steady states in relativistic galactic dynamics

J. Soler, J. Calvo, O. Sánchez, 2009, 0912.3240.

Vehicular traffic, crowds, and swarms: From kinetic theory and multiscale methods to applications and research perspectives

Seung-Yeal Ha, Lorenzo Pareschi, Giacomo Albi, 2019, Mathematical Models and Methods in Applied Sciences.

A numerical slit-height correction in small-angle scattering without spherical symmetry

J. Soler, 1977 .

On the time evolution of the mean-field polaron

J. Nieto, J. Soler, Philippe Bechouche, 2000 .

Non uniform Rotating Vortices and Periodic Orbits for the Two-Dimensional Euler Equations

J. Soler, C. Garc'ia, T. Hmidi, 2018, Archive for Rational Mechanics and Analysis.

Global weak solutions to the relativistic BGK equation

P. Jabin, J. Soler, J. Calvo, 2019, Communications in Partial Differential Equations.

Convergence of the contour dynamics method

J. Soler, 1991 .

ABOUT UNIQUENESS OF WEAK SOLUTIONS TO FIRST ORDER QUASI-LINEAR EQUATIONS

F. Poupaud, J. Nieto, J. Soler, 2002 .

Time rescaling and asymptotic behavior of some fourth-order degenerate diffusion equations

G. Toscani, J. Soler, J. López, 2002 .

On the Relativistic BGK-Boltzmann Model: Asymptotics and Hydrodynamics

J. Nieto, J. Soler, J. Calvo, 2012, 1205.6603.

Radially Symmetric Solutions of a Tempered Diffusion Equation. A Porous Media, Flux-Limited Case

Juan Soler, Vicent Caselles, Fuensanta Andreu, 2012, SIAM J. Math. Anal..

Dispersive behavior in galactic dynamics

J. Soler, J. Calvo, S. Calogero, 2009, 0909.0166.

Discrete Schrödinger-Poisson systems preserving energy and mass

Christian A. Ringhofer, Juan Soler, C. Ringhofer, 2000, Appl. Math. Lett..

On the initial value problem for the Vlasov-Poisson-Fokker-Planck system with initial data in Lp spaces

J. Carrillo, J. Soler, 1995 .

Modeling Hedgehog Signaling Through Flux-Saturated Mechanisms.

J. Soler, I. Guerrero, J. Calvo, 2015, Methods in molecular biology.

Three-dimensional Navier-Stokes equations for singular filament initial data

G. Cottet, J. Soler, 1988 .

Multidimensional high-field limit of the electrostatic Vlasov-Poisson-Fokker-Planck system.

Juan Soler, Thierry Goudon, J. Nieto, 2005 .

Complexity and mathematical tools toward the modelling of multicellular growing systems

N. Bellomo, A. Bellouquid, J. Nieto, 2010, Math. Comput. Model..

From the mathematical kinetic theory for active particles on the derivation of hyperbolic macroscopic tissue models

Juan Soler, Nicola Bellomo, Abdelghani Bellouquid, 2009, Math. Comput. Model..

A KINETIC DESCRIPTION OF PARTICLE FRAGMENTATION

P. Jabin, J. Soler, 2006 .

On a nonlinear flux-limited equation arising in the transport of morphogens

Jos'e M. Maz'on, F. Andreu, J. Soler, 2011, 1107.5770.

Quantum Kinetic Equation Including Phonon Scattering

L. Bonilla, J. Soler, E. Arriola, 2002 .

QUALITATIVE PROPERTIES OF THE SOLUTIONS OF A NONLINEAR FLUX-LIMITED EQUATION ARISING IN THE TRANSPORT OF MORPHOGENS

J. Soler, J. Calvo, M. Verbeni, 2011 .

Modeling invasion patterns in the glioblastoma battlefield

J. Soler, S. Casas-Tintó, M. Conte, 2020, bioRxiv.

On functional solutions for the three dimensional kinetic equations of Vlasov-type with bounded measures as initial data

J. Carrillo, J. Soler, 1998 .

Quantum Transport and Boltzmann Operators

F. Poupaud, J. Soler, Philippe Bechouche, 2006 .