Local well-posedness of a nonlinear Fokker-Planck model
Analysis of PDEs
2023-03-01 v2
Abstract
Noise or fluctuations play an important role in the modeling and understanding of the behavior of various complex systems in nature. Fokker-Planck equations are powerful mathematical tool to study behavior of such systems subjected to fluctuations. In this paper we establish local well-posedness result of a new nonlinear Fokker-Planck equation. Such equations appear in the modeling of the grain boundary dynamics during microstructure evolution in the polycrystalline materials and obey special energy laws.
Keywords
Cite
@article{arxiv.2201.09117,
title = {Local well-posedness of a nonlinear Fokker-Planck model},
author = {Yekaterina Epshteyn and Chang Liu and Chun Liu and Masashi Mizuno},
journal= {arXiv preprint arXiv:2201.09117},
year = {2023}
}