Asymptotic behavior of minimal solutions of $ -\Delta u = \lambda f(u) $ as $ \lambda\to-\infty $
Singular solutions of a Lane-Emden system
February 2021, 41(2): 657-680. doi: 10.3934/dcds.2020292
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 February 2020 Revised May 2020 Published February 2021 Early access August 2020
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.
Keywords: Vlasov-Poisson-Boltzmann system, compensating function, energy method, uniform stability estimate.
Mathematics Subject Classification: Primary:76P05, 82C40;Secondary:82D05.
Citation: Hao Wang. Uniform stability estimate for the Vlasov-Poisson-Boltzmann system. Discrete & Continuous Dynamical Systems, 2021, 41 (2) : 657-680. doi: 10.3934/dcds.2020292
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