Vehicular traffic, crowds, and swarms: From kinetic theory and multiscale methods to applications and research perspectives G Albi, N Bellomo, L Fermo, SY Ha, J Kim, L Pareschi, D Poyato, J Soler Mathematical Models and Methods in Applied Sciences 29 (10), 1901-2005, 2019 | 235 | 2019 |
Multiscale biological tissue models and flux-limited chemotaxis for multicellular growing systems N Bellomo, A Bellouquid, J Nieto, J Soler Mathematical Models and Methods in Applied Sciences 20 (07), 1179-1207, 2010 | 185 | 2010 |
On the mathematical theory of the dynamics of swarms viewed as complex systems N Bellomo, J Soler Mathematical Models and Methods in Applied Sciences 22 (supp01), 1140006, 2012 | 181 | 2012 |
On the difficult interplay between life," complexity", and mathematical sciences N Bellomo, D Knopoff, J Soler Mathematical Models and Methods in Applied Sciences 23 (10), 1861-1913, 2013 | 155 | 2013 |
Long-time dynamics of the Schrödinger–Poisson–Slater system O Sánchez, J Soler Journal of Statistical Physics 114, 179-204, 2004 | 136 | 2004 |
High-field limit for the Vlasov-Poisson-Fokker-Planck system J Nieto, F Poupaud, J Soler Archive for rational mechanics and analysis 158, 29-59, 2001 | 136 | 2001 |
On the asymptotic theory from microscopic to macroscopic growing tissue models: An overview with perspectives N Bellomo, A Bellouquid, J Nieto, J Soler Mathematical Models and Methods in Applied Sciences 22 (01), 1130001, 2012 | 125 | 2012 |
Multicellular biological growing systems: Hyperbolic limits towards macroscopic description N Bellomo, A Bellouquid, J Nieto, J Soler Mathematical Models and Methods in Applied Sciences 17 (supp01), 1675-1692, 2007 | 120 | 2007 |
Parabolic limit and stability of the Vlasov–Fokker–Planck system F Poupaud, J Soler Mathematical Models and Methods in Applied Sciences 10 (07), 1027-1045, 2000 | 112 | 2000 |
An analysis of quantum Fokker–Planck models: A Wigner function approach A Arnold, JL López, PA Markowich, J Soler Revista matemática iberoamericana 20 (3), 771-814, 2004 | 106 | 2004 |
Euler-type equations and commutators in singular and hyperbolic limits of kinetic Cucker–Smale models D Poyato, J Soler Mathematical Models and Methods in Applied Sciences 27 (06), 1089-1152, 2017 | 81 | 2017 |
On the initial value problem for the Vlasov‐Poisson‐Fokker‐Planck system with initial data in Lp spaces JA Carrillo, J Soler Mathematical methods in the applied sciences 18 (10), 825-839, 1995 | 80 | 1995 |
Multidimensional high-field limit of the electrostatic Vlasov–Poisson–Fokker–Planck system T Goudon, J Nieto, F Poupaud, J Soler Journal of Differential Equations 213 (2), 418-442, 2005 | 79 | 2005 |
Asymptotic behaviour and self-similarity for the three dimensional Vlasov–Poisson–Fokker–Planck system JA Carrillo, J Soler, JL Vazquez journal of functional analysis 141 (1), 99-132, 1996 | 79 | 1996 |
Chemotaxis and cross-diffusion models in complex environments: Models and analytic problems toward a multiscale vision N Bellomo, N Outada, J Soler, Y Tao, M Winkler Mathematical Models and Methods in Applied Sciences 32 (04), 713-792, 2022 | 78 | 2022 |
ON THE MULTISCALE MODELING OF VEHICULAR TRAFFIC: FROM KINETIC TO HYDRODYNAMICS. N Bellomo, A Bellouquid, J Nieto, J SOLERZ Discrete & Continuous Dynamical Systems-Series B 19 (7), 2014 | 74 | 2014 |
Asymptotic behavior of an initial-boundary value problem for the Vlasov--Poisson--Fokker--Planck system J Soler, JA Carrillo, LL Bonilla SIAM Journal on Applied Mathematics 57 (5), 1343-1372, 1997 | 73 | 1997 |
Morphogenetic action through flux-limited spreading M Verbeni, O Sánchez, E Mollica, I Siegl-Cachedenier, A Carleton, ... Physics of Life Reviews 10 (4), 457-475, 2013 | 65 | 2013 |
On an exchange interaction model for quantum transport: the Schrödinger–Poisson–Slater system O Bokanowski, JL López, J Soler Mathematical Models and Methods in Applied Sciences 13 (10), 1397-1412, 2003 | 62 | 2003 |
Existence of steady states for the Maxwell–Schrödinger–Poisson system: exploring the applicability of the concentration–compactness principle I Catto, J Dolbeault, Ó Sánchez, J Soler Mathematical Models and Methods in Applied Sciences 23 (10), 1915-1938, 2013 | 58 | 2013 |