Learning functional components of PDEs from data using neural networks
Loman, T
Salmaniw, Y
Villares, A
Carrillo, J
Baker, R
(13 Feb 2026)
https://arxiv.org/abs/2602.13174v2
Numerical stationary states for nonlocal Fokker-Planck equations via fixed points of consistency maps
Carrillo, J
Salmaniw, Y
Villares, A
(05 Feb 2026)
https://arxiv.org/abs/2602.05632v1
Fokker-Planck equations on discrete infinite graphs
Carrillo, J
Wang, X
(15 Nov 2025)
https://arxiv.org/abs/2511.12076v2
Stein Variational Gradient Descent dynamics for highly concentrated kernels
Carrillo, J
Skrzeczkowski, J
Warnett, J
(05 May 2026)
https://arxiv.org/abs/2605.03627v1
Hydrodynamic limit from nonlinear Fokker--Planck to barotropic Euler equations
Carrillo, J
Koo, D
(27 Jun 2026)
https://arxiv.org/abs/2606.28936v2
A new formula for the Wasserstein distance between solutions to (nonlinear) continuity equations
Carrillo, J
Gwiazda, P
Skrzeczkowski, J
(26 Mar 2026)
https://arxiv.org/abs/2603.25634v1
Lagrangian formulation and Eulerian closure in alignment dynamics
Carrillo, J
Choi, Y
Tadmor, E
(11 Apr 2026)
https://arxiv.org/abs/2604.10253v1
Bridging Scales in Chemotaxis: Scale-Uniform Forward Stability for Run-and-Tumble Kernel Estimation
Carrillo, J
Ma, J
Tang, M
(28 Jul 2026)
https://arxiv.org/abs/2608.06390v1
Long-time behaviour and bifurcation analysis of a two-species aggregation-diffusion system on the torus
Carrillo, J
Salmaniw, Y
(04 Jul 2025)
https://arxiv.org/abs/2507.03431v2
Well-posedness and mean-field limit of discontinuous weighted dynamics via the relative entropy method
Porat, I
Carrillo, J
Holzinger, A
(04 Mar 2026)
https://arxiv.org/abs/2603.03629v2