3 papers
math.AP2026
Long-time asymptotics of nonlinear Fokker-Planck equations with inhomogeneous diffusion and natural boundary conditions
Kouta Araki, Masashi Mizuno
In this paper, we study the long-time asymptotics for nonlinear Fokker-Planck equations with spatial inhomogeneous diffusion, based on the law of energy dissipation. First, we deri…
math.AP2025
Long-time behavior of free energy in the nonlinear Fokker-Planck equation
Kouta Araki, Masashi Mizuno
We study the asymptotic behavior of Fokker-Planck equations with spatially inhomogeneous nonlinear diffusion, based on the energy dissipation law. First, we consider the Fokker-Pla…
math.AP2024
Long-time asymptotic behavior of nonlinear Fokker-Planck type equations with periodic boundary conditions
Yekaterina Epshteyn, Chun Liu, Masashi Mizuno
In this paper, we study the asymptotic behavior of a class of nonlinear Fokker-Planck type equations in a bounded domain with periodic boundary conditions. The system is motivated…