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math.AP2026
Conditional hypocoercivity for nonlinear kinetic Fokker--Planck equations
Jose A. Carrillo, Dowan Koo, Sihyun Song
We investigate the long-time behaviour of nonlinear kinetic Fokker--Planck equations with porous medium diffusion in a non-perturbative setting. Under a priori conditional bounds o…
math.AP2026
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 esta…