The initial boundary value problem for the Vlasov–Poisson–Fokker–Planck system-Reference-Cited by-同舟云学术

The initial boundary value problem for the Vlasov–Poisson–Fokker–Planck system

Published:2022-09-01 Issue:9 Volume:63 Page:091506
ISSN:0022-2488
Container-title:Journal of Mathematical Physics
language:en
Short-container-title:J. Math. Phys.

Author:

Ma Xuan¹,He Fuli²^ORCID

Affiliation:

1. Research Central for Applied Mathematics and Interdisciplinary Sciences, School of Mathematics and Physical Sciences, Wuhan Textile University, Wuhan 430200, China

2. HNP-LAMA, School of Mathematics and Statistics, Central South University, Changsha 410083, China

Abstract

This paper is devoted to the initial boundary value problem of the Vlasov–Poisson–Fokker–Planck system in a bounded domain. The global existence of a unique strong solution and its exponential convergence rate to the equilibrium state are proved under the specular reflection boundary condition. The proof is based on an elementary energy method and the [Formula: see text] theory developed by Guo et al. [Arch. Ration. Mech. Anal. 236(3), 1389–1454 (2020)] for kinetic models.

Funder

National Natural Science Foundation of China

Natural Science Foundation of Hunan Province

Publisher

AIP Publishing

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

https://aip.scitation.org/doi/pdf/10.1063/5.0095310

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