Carrillo, J. A.
- Nonlinear Aggregation-Diffusion Equations: Radial Symmetry and Long Time Asymptotics
2016/03/24 by Carrillo, J. A., Hittmeir, S., Volzone, B. +1 · 5 citations
#Analysis of PDEs (math.AP) #FOS: Mathematics
- 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
- On the Long Time Behavior of the Quantum Fokker-Planck equation
2002/04/16 by C. Sparber, Christof Sparber, José A. Carrillo +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
- Nonlocal interactions by repulsive-attractive potentials: radial ins/stability
2011/09/24 by Balague, D., Carrillo, J. A., Laurent, T. +1 · 3 citations
#Analysis of PDEs (math.AP) #FOS: Mathematics
- The ellipse law: Kirchhoff meets dislocations
2017/03/21 by José A. Carrillo, Jaume Mateu, Carrillo, J. A. +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
- 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
- Consensus Based Sampling
2021/06/01 by Carrillo, J. A., Hoffmann, F., Stuart, A. M. +1 · 3 citations
#35G25 #62F15 #65C35 #65N21 #Dynamical Systems (math.DS) #FOS: Mathematics #Numerical Analysis (math.NA)
- Regularity of local minimizers of the interaction energy via obstacle problems
2014/06/16 by Carrillo, J. A., Delgadino, M. G., Mellet, A. · 2 citations
#Analysis of PDEs (math.AP) #FOS: Mathematics
- The Mean Field Ensemble Kalman Filter: Near-Gaussian Setting
2022/12/26 by José A. Carrillo, Carrillo, J. A., Franca Hoffmann +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
- An invariance principle for gradient flows in the space of probability measures
2020/10/01 by Carrillo, J. A., Gvalani, R. S., Wu, J. · 2 citations
#Analysis of PDEs (math.AP) #FOS: Mathematics
- Sharp conditions on global existence and blow-up in a degenerate two-species and cross-attraction system
2020/12/19 by Carrillo, J. A., Lin, K. · 2 citations
#Analysis of PDEs (math.AP) #FOS: Mathematics
- 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
- Asymptotic Fixed-Speed Reduced Dynamics for Kinetic Equations in Swarming
2012/02/29 by Bostan, Mihai, Carrillo, J. A. · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics
- Stability Analysis of Flock and Mill rings for 2nd Order Models in Swarming
2013/04/19 by Albi, G., Balagué, D., Carrillo, J. A. +1 · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics
- Zoology of a non-local cross-diffusion model for two species
2017/05/08 by Carrillo, J. A., Huang, Y., Schmidtchen, M. · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics
- Hydrodynamic limits for kinetic flocking models of Cucker-Smale type
2019/01/30 by Aceves-Sánchez, P., Bostan, M., Carrillo, J. A. +1 · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics
- The equilibrium measure for an anisotropic nonlocal energy
2019/06/30 by José A. Carrillo, Carrillo, J. A., Jaume Mateu +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
- Fast Diffusion leads to partial mass concentration in Keller-Segel type stationary solutions
2020/12/15 by Carrillo, J. A., Delgadino, M. G., Frank, R. L. +1 · 1 citation
#26D15 #35A23 #35K55 #46E35 #49J40 #Analysis of PDEs (math.AP) #FOS: Mathematics
- Fluid relaxation approximation of the Busenberg--Travis cross-diffusion system
2024/11/10 by J. A. Carrillo, Xin Chen, Carrillo, J. A. +5 · 1 citation
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Equations and Numerical Methods #FOS: Mathematics