From the 1 of 4 linked papers with an AI index.
4 papers
Conditional hypocoercivity for nonlinear kinetic Fokker--Planck equations
Jose A. Carrillo, Dowan Koo, Sihyun Song
The paper studies how solutions of nonlinear kinetic Fokker–Planck equations with porous‑medium diffusion approach equilibrium over time, proving exponential convergence in L¹ unde…
Hydrodynamic limit from nonlinear Fokker--Planck to barotropic Euler equations
José A. Carrillo, Dowan Koo
The hydrodynamic limit to the barotropic Euler equations, including power-law pressure , for a kinetic nonlinear Fokker--Planck equation with degenerate diffusion is e…
Exponential and algebraic decay in Euler--alignment system with nonlocal interaction forces
José A. Carrillo, Young-Pil Choi, Dowan Koo +1
We investigate the large-time behavior of the pressureless Euler system with nonlocal velocity alignment and interaction forces, with the aim of characterizing the asymptotic conve…
Sparse identification of nonlocal interaction kernels in nonlinear gradient flow equations via partial inversion
Jose A. Carrillo, Gissell Estrada-Rodriguez, Laszlo Mikolas +1
We address the inverse problem of identifying nonlocal interaction potentials in nonlinear aggregation-diffusion equations from noisy discrete trajectory data. Our approach involve…