Carrillo, José Antonio
- Critical mass for a Patlak-Keller-Segel model with degenerate diffusion in higher dimensions
2008/01/15 by Adrien Blanchet, José A. Carrillo, Blanchet, Adrien +3 · 4 citations
Mathematics · Economics, Econometrics and Finance · #Mathematical Biology Tumor Growth #Stochastic processes and financial applications #Markov Chains and Monte Carlo Methods
- Nonlinear mobility continuity equations and generalized displacement convexity
2009/01/26 by Carrillo, José Antonio, Lisini, Stefano, Savaré, Giuseppe +1 · 4 citations
#28A33 #35K20 #47J35 #49J40 #Analysis of PDEs (math.AP) #FOS: Mathematics #Functional Analysis (math.FA)
- A Unified Perspective on the Dynamics of Deep Transformers
2025/01/30 by Valérie Castin, Pierre Ablin, Castin, Valérie +6 · 1 voice · 11 citations
Computer Science · Engineering · #Advanced Memory and Neural Computing #Neural Networks and Applications #Neural Networks and Reservoir Computing #cs.LG #math.AP
- Cross diffusion and nonlinear diffusion preventing blow up in the Keller-Segel model
2011/10/16 by Carrillo, José Antonio, Hittmeir, Sabine, Jüngel, Ansgar · 3 citations
#35K51 #Analysis of PDEs (math.AP) #FOS: Mathematics
- Functional inequalities, thick tails and asymptotics for the critical mass Patlak-Keller-Segel model
2010/09/01 by Blanchet, Adrien, Carlen, Eric, Carrillo, José Antonio · 2 citations
#15A45 #49M20 #Analysis of PDEs (math.AP) #FOS: Mathematics
- Nonlocal approximation of nonlinear diffusion equations
2023/02/16 by Carrillo, José Antonio, Esposito, Antonio, Wu, Jeremy Sheung-Him · 4 citations
#35A15 #35D30 #35Q70 #Analysis of PDEs (math.AP) #FOS: Mathematics
- Large time asymptotics of the doubly nonlinear equation in the non-displacement convexity regime
2009/01/08 by Agueh, Martial, Blanchet, Adrien, Carrillo, José Antonio · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics
- A hybrid mass transport finite element method for Keller-Segel type systems
2017/09/21 by Carrillo, José Antonio, Kolbe, Niklas, Lukácová-Medviďová, Mária · 1 citation
#35Q92 #65M50 #65M99 #FOS: Mathematics #Numerical Analysis (math.NA)
- An entropy stable high-order discontinuous Galerkin method for cross-diffusion gradient flow systems
2018/10/07 by Sun, Zheng, Carrillo, José Antonio, Shu, Chi-Wang · 1 citation
#FOS: Mathematics #Numerical Analysis (math.NA)
- Nonlocal particle approximation for linear and fast diffusion equations
2024/08/05 by José A. Carrillo, Carrillo, José Antonio, Antonio Esposito +5 · 2 citations
Mathematics · Engineering · #Differential Equations and Numerical Methods #Numerical methods in engineering #Fractional Differential Equations Solutions
- Relative Entropy Method for Particle Approximation of the Landau Equation for Maxwellian Molecules
2024/08/27 by José A. Carrillo, Xuanrui Feng, Carrillo, José Antonio +7 · 3 citations
Engineering · Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #Gas Dynamics and Kinetic Theory #Probability (math.PR) #Radiative Heat Transfer Studies
- Equivalence of entropy solutions and gradient flows for pressureless 1D Euler systems
2023/12/08 by Carrillo, José Antonio, Galtung, Sondre Tesdal · 1 citation
#35L67 #35Q35 #49J40 #76N10 #82C22 #Analysis of PDEs (math.AP) #FOS: Mathematics #Optimization and Control (math.OC)
- Evolution equations on co-evolving graphs: long-time behaviour and the graph continuity equation
2025/04/14 by José A. Carrillo, Antonio Esposito, Carrillo, José Antonio +3 · 2 citations
Physics and Astronomy · Mathematics · Medicine · #Opinion Dynamics and Social Influence #Mathematical Biology Tumor Growth #Mathematical and Theoretical Epidemiology and Ecology Models
- Competing effects in fourth-order aggregation-diffusion equations
2023/07/27 by Carrillo, José Antonio, Esposito, Antonio, Falcó, Carles +1 · 1 citation
#35A01 #35A15 #35A21 #35D30 #35G20 #Analysis of PDEs (math.AP) #FOS: Mathematics
- From Fisher information decay for the Kac model to the Landau-Coulomb hierarchy
2025/02/25 by Carrillo, José Antonio, Guo, Shuchen · 2 citations
#Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)