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- Title
Nonlinear inhomogeneous Fokker–Planck models: Energetic-variational structures and long-time behavior.
- Authors
Epshteyn, Yekaterina; Liu, Chang; Liu, Chun; Mizuno, Masashi
- Abstract
Inspired by the modeling of grain growth in polycrystalline materials, we consider a nonlinear Fokker–Plank model, with inhomogeneous diffusion and with variable mobility parameters. We develop large time asymptotic analysis of such nonstandard models by reformulating and extending the classical entropy method, under the assumption of periodic boundary condition. In addition, illustrative numerical tests are presented to highlight the essential points of the current analytical results and to motivate future analysis.
- Subjects
NONSTANDARD mathematical analysis; FOKKER-Planck equation; NONLINEAR equations
- Publication
Analysis & Applications, 2022, Vol 20, Issue 6, p1295
- ISSN
0219-5305
- Publication type
Article
- DOI
10.1142/S0219530522400036