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arXiv · 2201.09117

Local well-posedness of a nonlinear Fokker-Planck model

Yekaterina Epshteyn·Chang Liu·Chun Liu·Masashi Mizuno
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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.

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Yekaterina Epshteyn, Chang Liu, Chun Liu, Masashi Mizuno. 2022-01-22. Local well-posedness of a nonlinear Fokker-Planck model. https://doi.org/10.1088/1361-6544/acb7c2

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