Uniform stability estimate for the Vlasov-Poisson-Boltzmann system

Hao Wang

doi:10.3934/dcds.2020292

Article Contents

2021, Volume 41, Issue 2: 657-680. Doi: 10.3934/dcds.2020292

This issue Previous Article Singular solutions of a Lane-Emden system Next Article Asymptotic behavior of minimal solutions of

$ -\Delta u = \lambda f(u) $

$ \lambda\to-\infty $

Uniform stability estimate for the Vlasov-Poisson-Boltzmann system

Hao Wang^,

School of Science, Wuhan Institute of Technology, Wuhan, 430072, China, School of Mathematics and Statistics, Wuhan University, Wuhan, 430072, China

^*
^*

Received: January 31, 2020

Revised: April 30, 2020

Early access: August 2020

Published: February 2021

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Abstract

This paper is concerned with the uniform stability estimate to the Cauchy problem of the Vlasov-Poisson-Boltzmann system. Our analysis is based on compensating function introduced by Kawashima and the standard energy method.

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Mathematics Subject Classification: Primary:76P05, 82C40;Secondary:82D05.

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