Global solutions to a nonlinear Fokker-Planck equation

Global solutions to a nonlinear Fokker-Planck equation

In this paper, we construct global solutions to the Cauchy problem on a nonlinear Fokker-Planck equation near Maxwellian with small-amplitude initial data in Sobolev space $ H^2_{x}L^2_v $ by a refined nonlinear energy method. Compared with the results of Liao et al. (Global existence and decay rate...

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Bibliographic Details
Main Authors: Xingang Zhang, Zhe Liu, Ling Ding, Bo Tang
Format: Article
Language:English
Published: AIMS Press 2023-05-01
Series:AIMS Mathematics
Subjects:
nonlinear fokker-planck equation
global existence
energy method
cauchy problem
priori estimates
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2023822?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/math.2023822?viewType=HTML

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