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Title: Local well-posedness of a nonlinear Fokker–Planck model
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 tools 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.  more » « less
Award ID(s):
1905463 2118172 2118181 1950868
PAR ID:
10430865
Author(s) / Creator(s):
; ; ;
Date Published:
Journal Name:
Nonlinearity
Volume:
36
Issue:
3
ISSN:
0951-7715
Page Range / eLocation ID:
1890 to 1917
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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