## Soler, Juan S.

Compute Distance To:
 Author ID: soler.juan-s Published as: Soler, Juan; Soler, J.; Soler, Juan S. more...less External Links: MGP · ORCID
 Documents Indexed: 91 Publications since 1985 2 Contributions as Editor Co-Authors: 58 Co-Authors with 80 Joint Publications 1,742 Co-Co-Authors
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### Co-Authors

 8 single-authored 16 Sánchez, Oscar 15 Nieto, Juanjo 14 Bellomo, Nicola 11 Calvo, Juan G. 11 Carrillo de la Plata, José Antonio 11 López, José Luis 7 Bonilla, Luis Lopez 6 Bellouquid, Abdelghani 5 Campos, Juan 5 Poupaud, Frédéric 5 Poyato, David 4 Caselles Costa, Vicent 3 Bechouche, Philippe 3 Calogero, Simone 3 Goudon, Thierry 3 Jabin, Pierre-Emmanuel 3 Mazón Ruiz, José M. 3 Toscani, Giuseppe 2 Andreu, Fuensanta 2 Bokanowski, Olivier 2 Brezzi, Franco 2 Dolbeault, Jean 2 Knopoff, Damian A. 2 Ruiz Arriola, Enrique 2 Vazquez, Juan Luis 2 Verbeni, Michela 1 Albi, Giacomo 1 Arias, Margarita 1 Arnold, Anton 1 Arriola, E. Ruiz 1 Béjar-López, Alexis 1 Cabré, Xavier 1 Catto, Isabelle 1 Colasuonno, Francesca 1 Corbin, Gregor 1 Cunha, Cleyton 1 Enciso, Alberto 1 Engwer, Christian 1 Fermo, Luisa 1 Frommlet, Florian 1 Garcia, Claudia I. 1 Guerrero, Pilar 1 Ha, Seung-Yeal 1 Herrero, Miguel Ángel 1 Hmidi, Taoufik 1 Jiroveanu, Delia 1 Kim, Jeongho 1 Klar, Axel 1 Markowich, Peter Alexander 1 Outada, Nisrine 1 Pareschi, Lorenzo 1 Park, Jinyeong 1 Pérez Vicente, Conrado J. 1 Ringhofer, Christian A. 1 Ritort, Felix 1 Surulescu, Christina 1 Tao, Youshan 1 Vásquez, M. O. 1 Wenske, Michael 1 Winkler, Michael
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### Serials

 24 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 4 Archive for Rational Mechanics and Analysis 4 Journal of Statistical Physics 4 Applied Mathematics Letters 4 SIAM Journal on Applied Mathematics 3 Journal of Differential Equations 3 Discrete and Continuous Dynamical Systems. Series B 2 Journal of Mathematical Analysis and Applications 2 Mathematical Methods in the Applied Sciences 2 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Mathematical and Computer Modelling 2 SIAM Journal on Mathematical Analysis 2 Communications on Applied Nonlinear Analysis 2 Journal of the European Mathematical Society (JEMS) 2 Multiscale Modeling & Simulation 2 Nonlinear Analysis. Theory, Methods & Applications 1 Computers & Mathematics with Applications 1 Communications in Mathematical Physics 1 IMA Journal of Numerical Analysis 1 Journal of Mathematical Physics 1 Nonlinearity 1 Physics Letters. A 1 Inventiones Mathematicae 1 Journal of Computational and Applied Mathematics 1 Journal of Functional Analysis 1 Physica D 1 Revista Matemática Iberoamericana 1 Numerical Methods for Partial Differential Equations 1 Communications in Partial Differential Equations 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Journal of Nonlinear Science 1 Networks and Heterogeneous Media 1 EMS Surveys in Mathematical Sciences 1 Advanced Courses in Mathematics – CRM Barcelona
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### Fields

 74 Partial differential equations (35-XX) 31 Fluid mechanics (76-XX) 31 Statistical mechanics, structure of matter (82-XX) 17 Biology and other natural sciences (92-XX) 9 Quantum theory (81-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Astronomy and astrophysics (85-XX) 4 Integral equations (45-XX) 3 General and overarching topics; collections (00-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Mechanics of deformable solids (74-XX) 2 Ordinary differential equations (34-XX) 2 Approximations and expansions (41-XX) 2 Numerical analysis (65-XX) 2 Mechanics of particles and systems (70-XX) 2 Relativity and gravitational theory (83-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Probability theory and stochastic processes (60-XX) 1 Optics, electromagnetic theory (78-XX) 1 Operations research, mathematical programming (90-XX)

### Citations contained in zbMATH Open

82 Publications have been cited 1,240 times in 744 Documents Cited by Year
Multiscale biological tissue models and flux-limited chemotaxis for multicellular growing systems. Zbl 1402.92065
Bellomo, Nicola; Bellouquid, Abdelghani; Nieto, Juan; Soler, Juan
2010
Vehicular traffic, crowds, and swarms: from kinetic theory and multiscale methods to applications and research perspectives. Zbl 1431.35211
Albi, G.; Bellomo, N.; Fermo, L.; Ha, S.-Y.; Kim, J.; Pareschi, L.; Poyato, D.; Soler, J.
2019
On the mathematical theory of the dynamics of swarms viewed as complex systems. Zbl 1242.92065
Bellomo, N.; Soler, J.
2012
On the difficult interplay between life, “complexity”, and mathematical sciences. Zbl 1315.35137
Bellomo, N.; Knopoff, D.; Soler, J.
2013
Long-time dynamics of the Schrödinger-Poisson-Slater system. Zbl 1060.82039
Sánchez, Óscar; Soler, Juan
2004
Multicellular biological growing systems: hyperbolic limits towards macroscopic description. Zbl 1135.92009
Bellomo, N.; Bellouquid, A.; Nieto, J.; Soler, J.
2007
On the asymptotic theory from microscopic to macroscopic growing tissue models: an overview with perspectives. Zbl 1328.92023
Bellomo, N.; Bellouquid, A.; Nieto, J.; Soler, J.
2012
High-field limit for the Vlasov-Poisson-Fokker-Planck system. Zbl 1038.82068
Nieto, Juan; Poupaud, Frédéric; Soler, Juan
2001
Euler-type equations and commutators in singular and hyperbolic limits of kinetic Cucker-Smale models. Zbl 1369.35050
Poyato, David; Soler, Juan
2017
Asymptotic behaviour and selfsimilarity for the three dimensional Vlasov-Poisson-Fokker-Planck system. Zbl 0873.35066
Carrillo, José A.; Soler, Juan; Vázquez, Juan Luis
1996
Parabolic limit and stability of the Vlasov-Fokker-Planck system. Zbl 1018.76048
Poupaud, F.; Soler, J.
2000
On an exchange interaction model for quantum transport: the Schrödinger-Poisson-Slater system. Zbl 1073.35188
Bokanowski, Olivier; López, José L.; Soler, Juan
2003
An analysis of quantum Fokker-Planck models: a Wigner function approach. Zbl 1062.35097
Arnold, Anton; López, José L.; Markowich, Peter A.; Soler, Juan
2004
Multidimensional high-field limit of the electrostatic Vlasov-Poisson-Fokker-Planck system. Zbl 1072.35176
Goudon, T.; Nieto, J.; Poupaud, F.; Soler, J.
2005
High-field limit of the Vlasov-Poisson-Fokker-Planck system: A comparison of differential perturbation methods. Zbl 1012.82023
Bonilla, Luis L.; Soler, Juan S.
2001
Existence of steady states for the Maxwell-Schrödinger-Poisson system: exploring the applicability of the concentration-compactness principle. Zbl 1283.35117
Catto, I.; Dolbeault, J.; Sánchez, O.; Soler, J.
2013
On the initial value problem for the Vlasov-Poisson-Fokker-Planck system with initial data in $$L^ p$$ spaces. Zbl 0829.35096
Carrillo, José A.; Soler, Juan
1995
Complexity and mathematical tools toward the modelling of multicellular growing systems. Zbl 1190.92001
Bellomo, N.; Bellouquid, A.; Nieto, J.; Soler, J.
2010
On the multiscale modeling of vehicular traffic: from kinetic to hydrodynamics. Zbl 1302.35372
Bellomo, Nicola; Bellouquid, Abdelghani; Nieto, Juanjo; Soler, Juan
2014
Asymptotic behavior of an initial-boundary value problem for the Vlasov-Poisson-Fokker-Planck system. Zbl 0888.35018
Bonilla, L. L.; Carrillo, J. A.; Soler, J.
1997
From a systems theory of sociology to modeling the onset and evolution of criminality. Zbl 1403.91278
Bellomo, Nicola; Colasuonno, Francesca; Knopoff, Damián; Soler, Juan
2015
Qualitative properties of the solutions of a nonlinear flux-limited equation arising in the transport of morphogens. Zbl 1223.35057
Calvo, Juan; Mazón, José; Soler, Juan; Verbeni, Michela
2011
Asymptotic behaviour for the Vlasov-Poisson system in the stellar-dynamics case. Zbl 1057.70009
Dolbeault, Jean; Sánchez, Óscar; Soler, Juan
2004
Pattern formation in a flux limited reaction-diffusion equation of porous media type. Zbl 1388.35094
Calvo, J.; Campos, J.; Caselles, V.; Sánchez, O.; Soler, J.
2016
On the Vlasov-Poisson-Fokker-Planck equations with measures in Morrey spaces as initial data. Zbl 0876.35085
Carrillo, José A.; Soler, Juan
1997
Orbital stability for polytropic galaxies. Zbl 1110.35011
Sánchez, Óscar; Soler, Juan
2006
Flux-saturated porous media equations and applications. Zbl 1328.35089
Calvo, J.; Campos, J.; Caselles, V.; Sánchez, O.; Soler, J.
2015
On the analysis of traveling waves to a nonlinear flux limited reaction-diffusion equation. Zbl 1263.35059
Campos, Juan; Guerrero, Pilar; Sánchez, Óscar; Soler, Juan
2013
A variational approach to the Schrödinger-Poisson system: asymptotic behaviour, breathers, and stability. Zbl 0999.82062
Ruíz Arriola, Enrique; Soler, Juan
2001
Radially symmetric solutions of a tempered diffusion equation. A porous media, flux-limited case. Zbl 1276.35109
Andreu, F.; Caselles, V.; Mazón, J. M.; Soler, J.; Verbeni, M.
2012
Asymptotic behavior to the 3-D Schrödinger/Hartree-Poisson and Wigner-Poisson systems. Zbl 1012.81032
López, J. L.; Soler, J.
2000
Qualitative behavior and traveling waves for flux-saturated porous media equations arising in optimal mass transportation. Zbl 1386.35198
Campos, J.; Soler, J.
2016
On the relativistic BGK-Boltzmann model: asymptotics and hydrodynamics. Zbl 1264.82111
Bellouquid, Abdelghani; Calvo, Juan; Nieto, Juanjo; Soler, Juan
2012
Qualitative behaviour for flux-saturated mechanisms: travelling waves, waiting time and smoothing effects. Zbl 1379.35167
Calvo, Juan; Campos, Juan; Caselles, Vicent; Sánchez, Óscar; Soler, Juan
2017
Three-dimensional Navier-Stokes equations for singular filament initial data. Zbl 0675.76072
Cottet, Georges-Henri; Soler, Juan
1988
Cross-diffusion and traveling waves in porous-media flux-saturated Keller-Segel models. Zbl 1411.35157
Arias, Margarita; Campos, Juan; Soler, Juan
2018
On a nonlinear flux-limited equation arising in the transport of morphogens. Zbl 1263.35166
Andreu, F.; Calvo, J.; Mazón, J. M.; Soler, J.
2012
Modeling chemotaxis from $$L^2$$-closure moments in kinetic theory of active particles. Zbl 1280.35160
Bellomo, Nicola; Bellouquid, Abdelghani; Nieto, Juanjo; Soler, Juan
2013
Asymptotic behaviour for the Vlasov-Poisson-Fokker-Planck system. Zbl 0895.35082
Soler, Juan
1997
Hyperbolic versus parabolic asymptotics in kinetic theory toward fluid dynamic models. Zbl 1295.35351
Bellouquid, Abdelghani; Calvo, Juan; Nieto, Juan; Soler, Juan
2013
Quantum transport and Boltzmann operators. Zbl 1149.82338
Bechouche, Philippe; Poupaud, Frédéric; Soler, Juan
2006
Cooperation, competition, organization: the dynamics of interacting living populations. Zbl 1325.92007
Herrero, Miguel A.; Soler, Juan
2015
On the time evolution of the mean-field polaron. Zbl 0977.82050
Bechouche, P.; Nieto, J.; Ruiz Arriola, E.; Soler, J.
2000
Asymptotic decay estimates for the repulsive Schrödinger-Poisson system. Zbl 1042.35076
Sánchez, Óscar; Soler, Juan
2004
Non uniform rotating vortices and periodic orbits for the two-dimensional Euler equations. Zbl 1447.35257
García, Claudia; Hmidi, Taoufik; Soler, Juan
2020
Stability results, almost global generalized Beltrami fields and applications to vortex structures in the Euler equations. Zbl 1397.35192
Enciso, Alberto; Poyato, David; Soler, Juan
2018
Scaling limits in the 3-D Schrödinger-Poisson system. Zbl 0888.35092
López, J. L.; Soler, J.
1997
From the mathematical kinetic theory for active particles on the derivation of hyperbolic macroscopic tissue models. Zbl 1171.92309
Bellomo, Nicola; Bellouquid, Abdelghani; Soler, Juan
2009
Asymptotic behavior and orbital stability of galactic dynamics in relativistic scalar gravity. Zbl 1180.85002
Calogero, Simone; Sánchez, Óscar; Soler, Juan
2009
Time rescaling and asymptotic behavior of some fourth-order degenerate diffusion equations. Zbl 1009.35047
López, J. L.; Soler, J.; Toscani, G.
2002
About uniqueness of weak solutions to first order quasi-linear equations. Zbl 1027.35072
Nieto, J.; Soler, J.; Poupaud, F.
2002
A kinetic description of particle fragmentation. Zbl 1136.76044
Jabin, Pierre-Emmanuel; Soler, Juan
2006
Modeling glioma invasion with anisotropy- and hypoxia-triggered motility enhancement: from subcellular dynamics to macroscopic PDEs with multiple taxis. Zbl 1473.92007
Corbin, Gregor; Klar, Axel; Surulescu, Christina; Engwer, Christian; Wenske, Michael; Nieto, Juanjo; Soler, Juan
2021
Low-field limit for a nonlinear discrete drift-diffusion model arising in semiconductor superlattices theory. Zbl 1059.82044
Goudon, Thierry; Sánchez, Oscar; Soler, Juan; Bonilla, Luis L.
2004
On the evolution of an angle in a vortex patch. Zbl 0972.76015
Carrillo, J. A.; Soler, J.
2000
On a dispersive model for the unzipping of double-stranded DNA molecules. Zbl 1302.35374
Calvo, J.; Nieto, J.; Soler, J.; Vásquez, M. O.
2014
$$H$$-theorem for electrostatic or self-gravitating Vlasov-Poisson-Fokker-Planck systems. Zbl 1073.82588
Bonilla, L. L.; Carrillo, J. A.; Soler, J.
1996
Exact solutions and dynamics of globally coupled oscillators. Zbl 1111.82041
Bonilla, L. L.; Pérez Vicente, C. J.; Ritort, F.; Soler, J.
2006
A coupled Boltzmann and Navier-Stokes fragmentation model induced by a fluid-particle-spring interaction. Zbl 1209.82033
Jabin, Pierre-Emmanuel; Soler, Juan
2010
Long time behaviour to the Schrödinger-Poisson-$$X^{\alpha }$$ systems. Zbl 1170.82425
Bokanowski, Olivier; López, José L.; Sánchez, Óscar; Soler, Juan
2006
Discrete Schrödinger-Poisson systems preserving energy and mass. Zbl 0955.65067
Ringhofer, C.; Soler, J.
2000
Dispersive behavior in galactic dynamics. Zbl 1197.35292
Calogero, Simone; Calvo, Juan; Sánchez, Óscar; Soler, Juan
2010
Global weak solutions to the relativistic BGK equation. Zbl 1437.35659
Calvo, Juan; Jabin, Pierre-Emmanuel; Soler, Juan
2020
Vortex filament method. Zbl 0683.76024
Soler, Juan
1990
Active particles methods and challenges in behavioral systems. Zbl 1454.35392
Bellomo, N.; Brezzi, F.; Soler, J.
2020
A space-time Wigner function approach to long time Schrödinger-Poisson dynamics. Zbl 1379.35266
López, José Luis; Soler, Juan
2017
$$L^ \infty$$ stability for weak solutions of the Navier-Stokes equations in $$\mathbb{R}^ 3$$ with singular initial data in Morrey spaces. Zbl 0814.35101
Soler, Juan
1994
Asymptotic behaviour for the 3-D Schrödinger-Poisson system in the attractive case with positive energy. Zbl 0967.35021
Arriola, E. R.; Soler, J.
1999
Hydrodynamic limit of a coupled Cucker-Smale system with strong and weak internal variable relaxation. Zbl 1475.92218
Kim, Jeongho; Poyato, David; Soler, Juan
2021
Nonlinear partial differential equations. Lecture notes from the school on topics in PDE’s and applications, Granada and Barcelona, Spain, 2008. Zbl 1228.35003
2012
A non-Markovian phase space approach to Schrödinger dynamics: the space-time Wigner transform. Zbl 1381.81040
López, José Luis; Soler, Juan
2016
Filippov trajectories and clustering in the Kuramoto model with singular couplings. Zbl 1473.35543
Park, Jinyeong; Poyato, David; Soler, Juan
2021
Recent results and challenges in behavioral systems. Zbl 07291075
2020
Global existence of functional solutions for the Vlasov-Poisson-Fokker- Planck system in 3-D with bounded measures as initial data. Zbl 0834.35129
Carrillo, J. A.; Soler, J.
1995
Functional solutions for the Vlasov-Poisson system. Zbl 0888.35082
Carrillo, J. A.; Soler, J.
1997
On functional solutions for the three dimensional kinetic equations of Vlasov-type with bounded measures as initial data. Zbl 0899.35077
Carrillo, José A.; Soler, Juan
1998
Convergence of the contour dynamics methods. Zbl 0736.76043
Soler, Juan
1991
Asymptotic behaviour for the frictionless Vlasov-Poisson-Fokker-Planck system. Zbl 0836.35128
Carrillo, José A.; Soler, Juan; Vázquez, Juan Luis
1995
Vanishing viscosity regimes and nonstandard shock relations for semiconductor superlattices models. Zbl 1213.35354
Goudon, T.; Nieto, J.; Sánchez, O.; Soler, J.
2011
Virial inequalities for steady states in relativistic galactic dynamics. Zbl 1197.35289
Calogero, Simone; Calvo, Juan; Sánchez, Óscar; Soler, Juan
2010
On cubature with a minimal number of lines. Zbl 0624.41030
Soler, J.
1987
Nonlinear rescaling, dispersion lemmas and conservation laws for some linear kinetic and quantum-kinetic problems. Zbl 1330.82043
Frommlet, F.; López, J. L.; Soler, J.; Toscani, G.
2003
Modeling glioma invasion with anisotropy- and hypoxia-triggered motility enhancement: from subcellular dynamics to macroscopic PDEs with multiple taxis. Zbl 1473.92007
Corbin, Gregor; Klar, Axel; Surulescu, Christina; Engwer, Christian; Wenske, Michael; Nieto, Juanjo; Soler, Juan
2021
Hydrodynamic limit of a coupled Cucker-Smale system with strong and weak internal variable relaxation. Zbl 1475.92218
Kim, Jeongho; Poyato, David; Soler, Juan
2021
Filippov trajectories and clustering in the Kuramoto model with singular couplings. Zbl 1473.35543
Park, Jinyeong; Poyato, David; Soler, Juan
2021
Non uniform rotating vortices and periodic orbits for the two-dimensional Euler equations. Zbl 1447.35257
García, Claudia; Hmidi, Taoufik; Soler, Juan
2020
Global weak solutions to the relativistic BGK equation. Zbl 1437.35659
Calvo, Juan; Jabin, Pierre-Emmanuel; Soler, Juan
2020
Active particles methods and challenges in behavioral systems. Zbl 1454.35392
Bellomo, N.; Brezzi, F.; Soler, J.
2020
Recent results and challenges in behavioral systems. Zbl 07291075
2020
Vehicular traffic, crowds, and swarms: from kinetic theory and multiscale methods to applications and research perspectives. Zbl 1431.35211
Albi, G.; Bellomo, N.; Fermo, L.; Ha, S.-Y.; Kim, J.; Pareschi, L.; Poyato, D.; Soler, J.
2019
Cross-diffusion and traveling waves in porous-media flux-saturated Keller-Segel models. Zbl 1411.35157
Arias, Margarita; Campos, Juan; Soler, Juan
2018
Stability results, almost global generalized Beltrami fields and applications to vortex structures in the Euler equations. Zbl 1397.35192
Enciso, Alberto; Poyato, David; Soler, Juan
2018
Euler-type equations and commutators in singular and hyperbolic limits of kinetic Cucker-Smale models. Zbl 1369.35050
Poyato, David; Soler, Juan
2017
Qualitative behaviour for flux-saturated mechanisms: travelling waves, waiting time and smoothing effects. Zbl 1379.35167
Calvo, Juan; Campos, Juan; Caselles, Vicent; Sánchez, Óscar; Soler, Juan
2017
A space-time Wigner function approach to long time Schrödinger-Poisson dynamics. Zbl 1379.35266
López, José Luis; Soler, Juan
2017
Pattern formation in a flux limited reaction-diffusion equation of porous media type. Zbl 1388.35094
Calvo, J.; Campos, J.; Caselles, V.; Sánchez, O.; Soler, J.
2016
Qualitative behavior and traveling waves for flux-saturated porous media equations arising in optimal mass transportation. Zbl 1386.35198
Campos, J.; Soler, J.
2016
A non-Markovian phase space approach to Schrödinger dynamics: the space-time Wigner transform. Zbl 1381.81040
López, José Luis; Soler, Juan
2016
From a systems theory of sociology to modeling the onset and evolution of criminality. Zbl 1403.91278
Bellomo, Nicola; Colasuonno, Francesca; Knopoff, Damián; Soler, Juan
2015
Flux-saturated porous media equations and applications. Zbl 1328.35089
Calvo, J.; Campos, J.; Caselles, V.; Sánchez, O.; Soler, J.
2015
Cooperation, competition, organization: the dynamics of interacting living populations. Zbl 1325.92007
Herrero, Miguel A.; Soler, Juan
2015
On the multiscale modeling of vehicular traffic: from kinetic to hydrodynamics. Zbl 1302.35372
Bellomo, Nicola; Bellouquid, Abdelghani; Nieto, Juanjo; Soler, Juan
2014
On a dispersive model for the unzipping of double-stranded DNA molecules. Zbl 1302.35374
Calvo, J.; Nieto, J.; Soler, J.; Vásquez, M. O.
2014
On the difficult interplay between life, “complexity”, and mathematical sciences. Zbl 1315.35137
Bellomo, N.; Knopoff, D.; Soler, J.
2013
Existence of steady states for the Maxwell-Schrödinger-Poisson system: exploring the applicability of the concentration-compactness principle. Zbl 1283.35117
Catto, I.; Dolbeault, J.; Sánchez, O.; Soler, J.
2013
On the analysis of traveling waves to a nonlinear flux limited reaction-diffusion equation. Zbl 1263.35059
Campos, Juan; Guerrero, Pilar; Sánchez, Óscar; Soler, Juan
2013
Modeling chemotaxis from $$L^2$$-closure moments in kinetic theory of active particles. Zbl 1280.35160
Bellomo, Nicola; Bellouquid, Abdelghani; Nieto, Juanjo; Soler, Juan
2013
Hyperbolic versus parabolic asymptotics in kinetic theory toward fluid dynamic models. Zbl 1295.35351
Bellouquid, Abdelghani; Calvo, Juan; Nieto, Juan; Soler, Juan
2013
On the mathematical theory of the dynamics of swarms viewed as complex systems. Zbl 1242.92065
Bellomo, N.; Soler, J.
2012
On the asymptotic theory from microscopic to macroscopic growing tissue models: an overview with perspectives. Zbl 1328.92023
Bellomo, N.; Bellouquid, A.; Nieto, J.; Soler, J.
2012
Radially symmetric solutions of a tempered diffusion equation. A porous media, flux-limited case. Zbl 1276.35109
Andreu, F.; Caselles, V.; Mazón, J. M.; Soler, J.; Verbeni, M.
2012
On the relativistic BGK-Boltzmann model: asymptotics and hydrodynamics. Zbl 1264.82111
Bellouquid, Abdelghani; Calvo, Juan; Nieto, Juanjo; Soler, Juan
2012
On a nonlinear flux-limited equation arising in the transport of morphogens. Zbl 1263.35166
Andreu, F.; Calvo, J.; Mazón, J. M.; Soler, J.
2012
Nonlinear partial differential equations. Lecture notes from the school on topics in PDE’s and applications, Granada and Barcelona, Spain, 2008. Zbl 1228.35003
2012
Qualitative properties of the solutions of a nonlinear flux-limited equation arising in the transport of morphogens. Zbl 1223.35057
Calvo, Juan; Mazón, José; Soler, Juan; Verbeni, Michela
2011
Vanishing viscosity regimes and nonstandard shock relations for semiconductor superlattices models. Zbl 1213.35354
Goudon, T.; Nieto, J.; Sánchez, O.; Soler, J.
2011
Multiscale biological tissue models and flux-limited chemotaxis for multicellular growing systems. Zbl 1402.92065
Bellomo, Nicola; Bellouquid, Abdelghani; Nieto, Juan; Soler, Juan
2010
Complexity and mathematical tools toward the modelling of multicellular growing systems. Zbl 1190.92001
Bellomo, N.; Bellouquid, A.; Nieto, J.; Soler, J.
2010
A coupled Boltzmann and Navier-Stokes fragmentation model induced by a fluid-particle-spring interaction. Zbl 1209.82033
Jabin, Pierre-Emmanuel; Soler, Juan
2010
Dispersive behavior in galactic dynamics. Zbl 1197.35292
Calogero, Simone; Calvo, Juan; Sánchez, Óscar; Soler, Juan
2010
Virial inequalities for steady states in relativistic galactic dynamics. Zbl 1197.35289
Calogero, Simone; Calvo, Juan; Sánchez, Óscar; Soler, Juan
2010
From the mathematical kinetic theory for active particles on the derivation of hyperbolic macroscopic tissue models. Zbl 1171.92309
Bellomo, Nicola; Bellouquid, Abdelghani; Soler, Juan
2009
Asymptotic behavior and orbital stability of galactic dynamics in relativistic scalar gravity. Zbl 1180.85002
Calogero, Simone; Sánchez, Óscar; Soler, Juan
2009
Multicellular biological growing systems: hyperbolic limits towards macroscopic description. Zbl 1135.92009
Bellomo, N.; Bellouquid, A.; Nieto, J.; Soler, J.
2007
Orbital stability for polytropic galaxies. Zbl 1110.35011
Sánchez, Óscar; Soler, Juan
2006
Quantum transport and Boltzmann operators. Zbl 1149.82338
Bechouche, Philippe; Poupaud, Frédéric; Soler, Juan
2006
A kinetic description of particle fragmentation. Zbl 1136.76044
Jabin, Pierre-Emmanuel; Soler, Juan
2006
Exact solutions and dynamics of globally coupled oscillators. Zbl 1111.82041
Bonilla, L. L.; Pérez Vicente, C. J.; Ritort, F.; Soler, J.
2006
Long time behaviour to the Schrödinger-Poisson-$$X^{\alpha }$$ systems. Zbl 1170.82425
Bokanowski, Olivier; López, José L.; Sánchez, Óscar; Soler, Juan
2006
Multidimensional high-field limit of the electrostatic Vlasov-Poisson-Fokker-Planck system. Zbl 1072.35176
Goudon, T.; Nieto, J.; Poupaud, F.; Soler, J.
2005
Long-time dynamics of the Schrödinger-Poisson-Slater system. Zbl 1060.82039
Sánchez, Óscar; Soler, Juan
2004
An analysis of quantum Fokker-Planck models: a Wigner function approach. Zbl 1062.35097
Arnold, Anton; López, José L.; Markowich, Peter A.; Soler, Juan
2004
Asymptotic behaviour for the Vlasov-Poisson system in the stellar-dynamics case. Zbl 1057.70009
Dolbeault, Jean; Sánchez, Óscar; Soler, Juan
2004
Asymptotic decay estimates for the repulsive Schrödinger-Poisson system. Zbl 1042.35076
Sánchez, Óscar; Soler, Juan
2004
Low-field limit for a nonlinear discrete drift-diffusion model arising in semiconductor superlattices theory. Zbl 1059.82044
Goudon, Thierry; Sánchez, Oscar; Soler, Juan; Bonilla, Luis L.
2004
On an exchange interaction model for quantum transport: the Schrödinger-Poisson-Slater system. Zbl 1073.35188
Bokanowski, Olivier; López, José L.; Soler, Juan
2003
Nonlinear rescaling, dispersion lemmas and conservation laws for some linear kinetic and quantum-kinetic problems. Zbl 1330.82043
Frommlet, F.; López, J. L.; Soler, J.; Toscani, G.
2003
Time rescaling and asymptotic behavior of some fourth-order degenerate diffusion equations. Zbl 1009.35047
López, J. L.; Soler, J.; Toscani, G.
2002
About uniqueness of weak solutions to first order quasi-linear equations. Zbl 1027.35072
Nieto, J.; Soler, J.; Poupaud, F.
2002
High-field limit for the Vlasov-Poisson-Fokker-Planck system. Zbl 1038.82068
Nieto, Juan; Poupaud, Frédéric; Soler, Juan
2001
High-field limit of the Vlasov-Poisson-Fokker-Planck system: A comparison of differential perturbation methods. Zbl 1012.82023
Bonilla, Luis L.; Soler, Juan S.
2001
A variational approach to the Schrödinger-Poisson system: asymptotic behaviour, breathers, and stability. Zbl 0999.82062
Ruíz Arriola, Enrique; Soler, Juan
2001
Parabolic limit and stability of the Vlasov-Fokker-Planck system. Zbl 1018.76048
Poupaud, F.; Soler, J.
2000
Asymptotic behavior to the 3-D Schrödinger/Hartree-Poisson and Wigner-Poisson systems. Zbl 1012.81032
López, J. L.; Soler, J.
2000
On the time evolution of the mean-field polaron. Zbl 0977.82050
Bechouche, P.; Nieto, J.; Ruiz Arriola, E.; Soler, J.
2000
On the evolution of an angle in a vortex patch. Zbl 0972.76015
Carrillo, J. A.; Soler, J.
2000
Discrete Schrödinger-Poisson systems preserving energy and mass. Zbl 0955.65067
Ringhofer, C.; Soler, J.
2000
Asymptotic behaviour for the 3-D Schrödinger-Poisson system in the attractive case with positive energy. Zbl 0967.35021
Arriola, E. R.; Soler, J.
1999
On functional solutions for the three dimensional kinetic equations of Vlasov-type with bounded measures as initial data. Zbl 0899.35077
Carrillo, José A.; Soler, Juan
1998
Asymptotic behavior of an initial-boundary value problem for the Vlasov-Poisson-Fokker-Planck system. Zbl 0888.35018
Bonilla, L. L.; Carrillo, J. A.; Soler, J.
1997
On the Vlasov-Poisson-Fokker-Planck equations with measures in Morrey spaces as initial data. Zbl 0876.35085
Carrillo, José A.; Soler, Juan
1997
Asymptotic behaviour for the Vlasov-Poisson-Fokker-Planck system. Zbl 0895.35082
Soler, Juan
1997
Scaling limits in the 3-D Schrödinger-Poisson system. Zbl 0888.35092
López, J. L.; Soler, J.
1997
Functional solutions for the Vlasov-Poisson system. Zbl 0888.35082
Carrillo, J. A.; Soler, J.
1997
Asymptotic behaviour and selfsimilarity for the three dimensional Vlasov-Poisson-Fokker-Planck system. Zbl 0873.35066
Carrillo, José A.; Soler, Juan; Vázquez, Juan Luis
1996
$$H$$-theorem for electrostatic or self-gravitating Vlasov-Poisson-Fokker-Planck systems. Zbl 1073.82588
Bonilla, L. L.; Carrillo, J. A.; Soler, J.
1996
On the initial value problem for the Vlasov-Poisson-Fokker-Planck system with initial data in $$L^ p$$ spaces. Zbl 0829.35096
Carrillo, José A.; Soler, Juan
1995
Global existence of functional solutions for the Vlasov-Poisson-Fokker- Planck system in 3-D with bounded measures as initial data. Zbl 0834.35129
Carrillo, J. A.; Soler, J.
1995
Asymptotic behaviour for the frictionless Vlasov-Poisson-Fokker-Planck system. Zbl 0836.35128
Carrillo, José A.; Soler, Juan; Vázquez, Juan Luis
1995
$$L^ \infty$$ stability for weak solutions of the Navier-Stokes equations in $$\mathbb{R}^ 3$$ with singular initial data in Morrey spaces. Zbl 0814.35101
Soler, Juan
1994
Convergence of the contour dynamics methods. Zbl 0736.76043
Soler, Juan
1991
Vortex filament method. Zbl 0683.76024
Soler, Juan
1990
Three-dimensional Navier-Stokes equations for singular filament initial data. Zbl 0675.76072
Cottet, Georges-Henri; Soler, Juan
1988
On cubature with a minimal number of lines. Zbl 0624.41030
Soler, J.
1987
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### Cited by 896 Authors

 61 Ha, Seung-Yeal 60 Bellomo, Nicola 50 Soler, Juan S. 18 Carrillo de la Plata, José Antonio 18 López, José Luis 18 Nieto, Juanjo 18 Park, Hansol 16 Bellouquid, Abdelghani 15 Surulescu, Christina 15 Winkler, Michael 14 Calvo, Juan G. 13 Kim, Doheon 13 Knopoff, Damian A. 12 Bianca, Carlo 12 Brezzi, Franco 12 Kim, Jeongho 11 Toscani, Giuseppe 10 Dolbeault, Jean 10 Goudon, Thierry 10 Shim, Woojoo 10 Vauchelet, Nicolas 9 Gibelli, Livio 9 Kang, Myeongju 9 Lachowicz, Mirosław 9 Tao, Youshan 8 Bae, Hyeong-Ohk 8 De Angelis, Elena 8 Degond, Pierre 8 Dong, Jiu-Gang 8 Sánchez, Oscar 8 Yun, Seok-Bae 7 Ahn, Hyunjin 7 Caselles Costa, Vicent 7 Dimarco, Giacomo 7 Dolfin, Marina 7 Fermo, Luisa 7 Jin, Shi 7 Kim, Dohyun 7 Klar, Axel 7 Ko, Dongnam 7 Lemou, Mohammed 7 Méhats, Florian 7 Pareschi, Lorenzo 7 Piccoli, Benedetto 6 Arnold, Anton 6 Choi, Young-Pil 6 Herty, Michael Matthias 6 Hwang, Hyung Ju 6 Park, Jinyeong 6 Raphael, Pierre 6 Yoo, Jane 6 Zhang, Xiongtao 5 Bertozzi, Andrea Louise 5 Calogero, Simone 5 Campos, Juan 5 Chouhad, Nadia 5 Hwang, Byung-Hoon 5 James, François 5 Lim, Hyuncheul 5 Montejo-Gámez, Jesús 5 Poupaud, Frédéric 4 Bellazzini, Jacopo 4 Belmonte-Beitia, Juan 4 Berthelin, Florent 4 Borsche, Raul 4 Chen, Zili 4 Coscia, Vincenzo 4 Delitala, Marcello Edoardo 4 Dogbé, Christian 4 Eftimie, Raluca 4 Engwer, Christian 4 Gosse, Laurent 4 Hmidi, Taoufik 4 Jeanjean, Louis 4 Jeong, In-Jee 4 Jiang, Yongsheng 4 Jung, Jinwook 4 Kim, Yongsik 4 Luo, Tingjian 4 Magal, Pierre 4 Markowich, Peter Alexander 4 Mercuri, Carlo 4 Moroz, Vitaly 4 Pérez-García, Víctor Manuel 4 Perthame, Benoît 4 Peszek, Jan 4 Poyato, David 4 Shvydkoy, Roman V. 4 Siciliano, Gaetano 4 Tadmor, Eitan 4 Zhang, Xianwen 3 Albi, Giacomo 3 Arlotti, Luisa 3 Banasiak, Jacek 3 Bonheure, Denis 3 Bonilla, Luis Lopez 3 Burini, Diletta 3 Conte, Martina 3 D’Acunto, Berardino 3 El Ghani, Najoua ...and 796 more Authors
all top 5

### Cited in 144 Serials

 171 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 35 Journal of Differential Equations 24 Mathematical and Computer Modelling 21 Journal of Mathematical Analysis and Applications 20 Journal of Statistical Physics 20 Applied Mathematics Letters 16 Journal of Mathematical Physics 16 SIAM Journal on Mathematical Analysis 15 Archive for Rational Mechanics and Analysis 14 Computers & Mathematics with Applications 14 Networks and Heterogeneous Media 14 Kinetic and Related Models 13 Discrete and Continuous Dynamical Systems 12 Physica D 11 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 10 Applied Mathematics and Computation 10 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 9 Journal of Nonlinear Science 8 Communications in Mathematical Physics 8 Journal of Mathematical Biology 8 Mathematical Methods in the Applied Sciences 8 Communications in Partial Differential Equations 8 Discrete and Continuous Dynamical Systems. Series B 7 Journal of Computational Physics 7 ZAMP. Zeitschrift für angewandte Mathematik und Physik 7 Journal of Functional Analysis 7 Calculus of Variations and Partial Differential Equations 6 Nonlinear Analysis. Real World Applications 6 Multiscale Modeling & Simulation 5 Nonlinearity 5 Journal of Computational and Applied Mathematics 5 Quarterly of Applied Mathematics 5 Transactions of the American Mathematical Society 5 Abstract and Applied Analysis 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Communications in Applied and Industrial Mathematics 4 Applicable Analysis 4 Chaos, Solitons and Fractals 4 SIAM Journal on Applied Mathematics 4 Communications in Contemporary Mathematics 4 Annales Henri Poincaré 4 SIAM Journal on Applied Dynamical Systems 4 Journal of Hyperbolic Differential Equations 4 Mathematical Biosciences and Engineering 4 Nonlinear Analysis. Theory, Methods & Applications 3 SIAM Journal on Control and Optimization 3 Acta Applicandae Mathematicae 3 Revista Matemática Iberoamericana 3 Analysis and Applications (Singapore) 3 Boundary Value Problems 3 Discrete and Continuous Dynamical Systems. Series S 3 International Journal of Biomathematics 3 Journal of Theoretical Biology 2 Communications on Pure and Applied Mathematics 2 Journal of Engineering Mathematics 2 Letters in Mathematical Physics 2 Physica A 2 Bulletin of Mathematical Biology 2 Applied Mathematics and Optimization 2 Inventiones Mathematicae 2 Mathematics and Computers in Simulation 2 Numerische Mathematik 2 Numerical Methods for Partial Differential Equations 2 Journal of Dynamics and Differential Equations 2 Journal of the European Mathematical Society (JEMS) 2 Journal of Evolution Equations 2 Journal of Applied Mathematics 2 Acta Mathematica Scientia. Series B. (English Edition) 2 Advanced Nonlinear Studies 2 Communications on Pure and Applied Analysis 2 Oberwolfach Reports 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Journal of Fixed Point Theory and Applications 2 Computational & Mathematical Methods in Medicine 2 Analysis & PDE 2 Asian-European Journal of Mathematics 1 Computers and Fluids 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Mathematical Biosciences 1 Rocky Mountain Journal of Mathematics 1 Transport Theory and Statistical Physics 1 Ukrainian Mathematical Journal 1 Reviews in Mathematical Physics 1 Advances in Mathematics 1 Annales de l’Institut Fourier 1 Archiv der Mathematik 1 Duke Mathematical Journal 1 Funkcialaj Ekvacioj. Serio Internacia 1 Illinois Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 SIAM Journal on Numerical Analysis 1 Applied Numerical Mathematics 1 Asymptotic Analysis 1 Science in China. Series A 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Japan Journal of Industrial and Applied Mathematics 1 Applications of Mathematics 1 Journal of Global Optimization 1 Numerical Algorithms 1 Applied Mathematical Modelling ...and 44 more Serials
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### Cited in 42 Fields

 519 Partial differential equations (35-XX) 254 Biology and other natural sciences (92-XX) 201 Statistical mechanics, structure of matter (82-XX) 111 Fluid mechanics (76-XX) 69 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 67 Numerical analysis (65-XX) 53 Ordinary differential equations (34-XX) 46 Probability theory and stochastic processes (60-XX) 38 Operations research, mathematical programming (90-XX) 34 Mechanics of particles and systems (70-XX) 34 Quantum theory (81-XX) 33 Dynamical systems and ergodic theory (37-XX) 25 Integral equations (45-XX) 23 Calculus of variations and optimal control; optimization (49-XX) 21 Mechanics of deformable solids (74-XX) 20 Operator theory (47-XX) 17 Astronomy and astrophysics (85-XX) 15 Optics, electromagnetic theory (78-XX) 14 Systems theory; control (93-XX) 12 Relativity and gravitational theory (83-XX) 9 Real functions (26-XX) 8 Global analysis, analysis on manifolds (58-XX) 8 Classical thermodynamics, heat transfer (80-XX) 7 General and overarching topics; collections (00-XX) 7 Information and communication theory, circuits (94-XX) 6 Functional analysis (46-XX) 6 Differential geometry (53-XX) 6 Computer science (68-XX) 5 Statistics (62-XX) 4 Combinatorics (05-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Difference and functional equations (39-XX) 2 Topological groups, Lie groups (22-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Manifolds and cell complexes (57-XX) 1 History and biography (01-XX) 1 Nonassociative rings and algebras (17-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Approximations and expansions (41-XX) 1 Convex and discrete geometry (52-XX)