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math.AP2021
Kinetic Fokker-Planck and Landau Equations with Specular Reflection Boundary Condition
Hongjie Dong, Yan Guo, Timur Yastrzhembskiy
We establish existence of finite energy weak solutions to the kinetic Fokker-Planck equation and the linearized Landau equation near Maxwellian, in the presence of specular reflect…
math.AP2021★ 18 cited
Global estimates for kinetic Kolmogorov-Fokker-Planck equations in nondivergence form
Hongjie Dong, Timur Yastrzhembskiy
We study the degenerate Kolmogorov equations (also known as kinetic Fokker-Planck equations) in nondivergence form. The leading coefficients are merely measurable in a…