José A. Carrillo

1. Primal dual methods for Wasserstein gradient flows
   2019/01/23 by José A. Carrillo, Katy Craig, Carrillo, Jose A. +5 · 7 citations
   Mathematics · #FOS: Mathematics #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations #Numerical Analysis (math.NA) #Numerical methods in inverse problems
2. Aggregation-diffusion equations: dynamics, asymptotics, and singular limits
   2018/10/08 by José A. Carrillo, Katy Craig, Carrillo, Jose A. +3 · 6 citations
   Mathematics · Medicine · #Analysis of PDEs (math.AP) #FOS: Mathematics #Fractional Differential Equations Solutions #Mathematical and Theoretical Epidemiology and Ecology Models #Numerical Analysis (math.NA) #Stochastic processes and statistical mechanics
3. 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
4. A particle method for the homogeneous Landau equation
   2019/10/07 by José A. Carrillo, Jingwei Hu, Carrillo, Jose A. +5 · 6 citations
   Mathematics · Physics and Astronomy · #65M75 #82B40 #82D10 #Analysis of PDEs (math.AP) #FOS: Mathematics #Gas Dynamics and Kinetic Theory #Model Reduction and Neural Networks #Numerical Analysis (math.NA) #Quantum chaos and dynamical systems
5. A review on attractive-repulsive hydrodynamics for consensus in collective behavior
   2016/05/01 by José A. Carrillo, Young-Pil Choi, Carrillo, José A. +3 · 5 citations
   Mathematics · Physics and Astronomy · #Analysis of PDEs (math.AP) #FOS: Mathematics #Mathematical Biology Tumor Growth #Micro and Nano Robotics #Numerical Analysis (math.NA) #Stochastic processes and statistical mechanics
6. A consensus-based global optimization method for high dimensional machine learning problems
   2019/09/19 by José A. Carrillo, Shi Jin, Carrillo, José A. +5 · 5 citations
   Computer Science · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Distributed Control Multi-Agent Systems #FOS: Mathematics #Optimization and Control (math.OC) #Stochastic Gradient Optimization Techniques
7. On the analysis of a coupled kinetic-fluid model with local alignment forces
   2013/11/21 by José A. Carrillo, Carrillo, J. A., Young-Pil Choi +3 · 4 citations
   Engineering · Mathematics · #Analysis of PDEs (math.AP) #Computational Fluid Dynamics and Aerodynamics #FOS: Mathematics #Fluid Dynamics and Turbulent Flows #Navier-Stokes equation solutions
8. On the Long Time Behavior of the Quantum Fokker-Planck equation
   2002/04/16 by C. Sparber, Christof Sparber, Sparber, C. +9 · 3 citations
   Mathematics · Physics and Astronomy · #35K15 #46N55 #47N50 #Advanced Thermodynamics and Statistical Mechanics #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Mechanics and Applications #Statistical Mechanics and Entropy #math-ph #math.AP #math.MP #msc:35K15 #msc:46N55 #msc:47N50
9. The ellipse law: Kirchhoff meets dislocations
   2017/03/21 by José A. Carrillo, Carrillo, J. A., Jaume Mateu +9 · 3 citations
   Mathematics · Physics and Astronomy · #31A15 #Analysis of PDEs (math.AP) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Quantum chaos and dynamical systems #Theoretical and Computational Physics
10. Consensus‐based sampling
    2022/01/05 by J. A. Carrillo, José A. Carrillo, Franca Hoffmann +5 · 4 citations
    Mathematics · Computer Science · #Markov Chains and Monte Carlo Methods #Bayesian Methods and Mixture Models #Gaussian Processes and Bayesian Inference
11. A mass-transportation approach to a one dimensional fluid mechanics model with nonlocal velocity
    2011/10/29 by José A. Carrillo, Carrillo, J. A., Lucas C. F. Ferreira +3 · 2 citations
    Mathematics · #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations #Geometry and complex manifolds
12. Explicit Equilibrium Solutions For the Aggregation Equation with Power-Law Potentials
    2016/02/22 by José A. Carrillo, Carrillo, José A., Yanghong Huang +1 · 2 citations
    Mathematics · Medicine · Physics and Astronomy · #Analysis of PDEs (math.AP) #FOS: Mathematics #Mathematical Biology Tumor Growth #Mathematical and Theoretical Epidemiology and Ecology Models #Opinion Dynamics and Social Influence
13. Boundary spike-layer solutions of the singular Keller-Segel system: existence and stability
    2019/08/20 by José A. Carrillo, Carrillo, Jose A, Jingyu Li +3 · 2 citations
    Biochemistry, Genetics and Molecular Biology · Engineering · Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #Gene Regulatory Network Analysis #Mathematical Biology Tumor Growth #Slime Mold and Myxomycetes Research
14. The Mean Field Ensemble Kalman Filter: Near-Gaussian Setting
    2022/12/26 by José A. Carrillo, Franca Hoffmann, Carrillo, J. A. +9 · 3 citations
    Computer Science · Earth and Planetary Sciences · Environmental Science · #62F15 #65C35 #70F45 #93E11 #Dynamical Systems (math.DS) #FOS: Mathematics #Geology and Paleoclimatology Research #Geophysics and Gravity Measurements #Numerical Analysis (math.NA) #Optimization and Control (math.OC) #Soil Geostatistics and Mapping #Target Tracking and Data Fusion in Sensor Networks
15. FedCBO: Reaching Group Consensus in Clustered Federated Learning through Consensus-based Optimization
    2023/05/04 by José A. Carrillo, Carrillo, Jose A., Nicolás García Trillos +5 · 3 citations
    Computer Science · #Analysis of PDEs (math.AP) #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Machine Learning and ELM #Optimization and Control (math.OC) #Stochastic Gradient Optimization Techniques
16. A particle method for the multispecies Landau equation
    2023/10/24 by José A. Carrillo, Carrillo, José A., Jingwei Hu +3 · 3 citations
    Physics and Astronomy · #65M75 #FOS: Mathematics #High-Energy Particle Collisions Research #Numerical Analysis (math.NA) #Orbital Angular Momentum in Optics
17. Quantifying the hydrodynamic limit of Vlasov-type equations with\n alignment and nonlocal forces
    2020/07/09 by José A. Carrillo, Young-Pil Choi, Carrillo, José A. +3 · 3 citations
    Mathematics · Physics and Astronomy · #Mathematical Biology Tumor Growth #Advanced Thermodynamics and Statistical Mechanics #Gas Dynamics and Kinetic Theory
18. Consensus-based Optimization and Ensemble Kalman Inversion for Global Optimization Problems with Constraints
    2021/11/04 by José A. Carrillo, Claudia Totzeck, Carrillo, J. A. +3 · 2 citations
    Computer Science · Mathematics · #Distributed Control Multi-Agent Systems #Target Tracking and Data Fusion in Sensor Networks #Advanced Optimization Algorithms Research
19. Partial mass concentration for fast-diffusions with non-local aggregation terms
    2023/04/10 by José A. Carrillo, Carrillo, José A., A. Fernández-Jiménez +3 · 2 citations
    Mathematics · Medicine · #35B40 #35D40 #35K55 #35K65 #35Q84 #Analysis of PDEs (math.AP) #FOS: Mathematics #Mathematical Biology Tumor Growth #Mathematical and Theoretical Epidemiology and Ecology Models #advanced mathematical theories
20. Non-local kinetic and macroscopic models for self-organised animal\n aggregations
    2014/07/08 by José A. Carrillo, Carrillo, José A., Raluca Eftimie +3 · 1 citation
    Biochemistry, Genetics and Molecular Biology · Mathematics · Medicine · #35A99 #35Q92 #Analysis of PDEs (math.AP) #Evolution and Genetic Dynamics #FOS: Biological sciences #FOS: Mathematics #Mathematical Biology Tumor Growth #Mathematical and Theoretical Epidemiology and Ecology Models #Populations and Evolution (q-bio.PE)
21. The equilibrium measure for an anisotropic nonlocal energy
    2019/06/30 by José A. Carrillo, Jaume Mateu, Carrillo, J. A. +9 · 1 citation
    Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Mathematical Approximation and Integration #Numerical methods in inverse problems
22. Recent development in kinetic theory of granular materials: analysis and numerical methods
    2020/01/30 by José A. Carrillo, J. Y. Hu, Carrillo, Jose Antonio +5 · 1 citation
    Mathematics · Engineering · Materials Science · #Gas Dynamics and Kinetic Theory #Lattice Boltzmann Simulation Studies #Thermal properties of materials
23. Nonlocal particle approximation for linear and fast diffusion equations
    2024/08/05 by José A. Carrillo, Antonio Esposito, Carrillo, José Antonio +5 · 2 citations
    Mathematics · Engineering · #Differential Equations and Numerical Methods #Numerical methods in engineering #Fractional Differential Equations Solutions
24. Relative Entropy Method for Particle Approximation of the Landau Equation for Maxwellian Molecules
    2024/08/27 by José A. Carrillo, Carrillo, José Antonio, Xuanrui Feng +7 · 3 citations
    Engineering · Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #Gas Dynamics and Kinetic Theory #Probability (math.PR) #Radiative Heat Transfer Studies
25. Minimizers of 3D anisotropic interaction energies
    2022/06/28 by José A. Carrillo, Carrillo, José A., Ruiwen Shu +1 · 2 citations
    Computer Science · Engineering · Mathematics · #31B15 #49K20 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Elasticity and Material Modeling #FOS: Mathematics #Nonlinear Partial Differential Equations
26. Structure preserving primal dual methods for gradient flows with nonlinear mobility transport distances
    2023/03/29 by José A. Carrillo, Li Wang, Carrillo, Jose A. +3 · 2 citations
    Engineering · Mathematics · #35A15 #47J25 #47J35 #49M29 #65K10 #FOS: Mathematics #Fluid Dynamics and Turbulent Flows #Gas Dynamics and Kinetic Theory #Geometric Analysis and Curvature Flows #Numerical Analysis (math.NA)
27. On long-time asymptotics for viscous hydrodynamic models of collective\n behavior with damping and nonlocal interactions
    2017/09/26 by José A. Carrillo, Carrillo, José A., Aneta Wróblewska‐Kamińska +3 · 1 citation
    Mathematics · Medicine · #Analysis of PDEs (math.AP) #FOS: Mathematics #Mathematical Biology Tumor Growth #Mathematical and Theoretical Epidemiology and Ecology Models #Stochastic processes and statistical mechanics
28. Spatial segregation across travelling fronts in individual-based and continuum models for the growth of heterogeneous cell populations
    2024/12/11 by José A. Carrillo, Tommaso Lorenzi, Carrillo, José A. +3 · 2 citations
    Biochemistry, Genetics and Molecular Biology · Decision Sciences · Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #Gene Regulatory Network Analysis #Mathematical Biology Tumor Growth #Simulation Techniques and Applications
29. Convergence and stability results for the particle system in the Stein gradient descent method
    2023/12/26 by José A. Carrillo, Carrillo, José A., Jakub Skrzeczkowski +1 · 1 citation
    Mathematics · Physics and Astronomy · #35B35 #35Q62 #35Q68 #62-08 #65K10 #Analysis of PDEs (math.AP) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Markov Chains and Monte Carlo Methods #Statistics Theory (math.ST) #Theoretical and Computational Physics
30. Existence of ground states for free energies on the hyperbolic space
    2024/09/09 by José A. Carrillo, Razvan C. Fetecau, Carrillo, José A. +3 · 3 citations
    Mathematics · Physics and Astronomy · #advanced mathematical theories #Black Holes and Theoretical Physics #Quantum chaos and dynamical systems
31. Interacting particle approximation of cross-diffusion systems
    2024/02/07 by José A. Carrillo, Shuchen Guo, Carrillo, Jose Antonio +1 · 1 citation
    Computer Science · #Advanced Mathematical Modeling in Engineering
32. 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
33. The Stein-log-Sobolev inequality and the exponential rate of convergence\n for the continuous Stein variational gradient descent method
    2024/12/13 by José A. Carrillo, Jakub Skrzeczkowski, Carrillo, José A. +3 · 1 citation
    Mathematics · #Numerical methods in inverse problems #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations
34. Degenerate Cahn-Hilliard systems: From nonlocal to local
    2023/03/21 by José A. Carrillo, Carrillo, José A., Charles Elbar +3 · 1 citation
    Computer Science · Mathematics · Materials Science · #Advanced Mathematical Modeling in Engineering #Nonlinear Partial Differential Equations #Solidification and crystal growth phenomena