Green’s Function and Pointwise Space-time Behaviors of the Vlasov-Poisson-Boltzmann System-Reference-Cited by-同舟云学术

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Green’s Function and Pointwise Space-time Behaviors of the Vlasov-Poisson-Boltzmann System

Published:2019-08-02 Issue:2 Volume:235 Page:1011-1057
ISSN:0003-9527
Container-title:Archive for Rational Mechanics and Analysis
language:en
Short-container-title:Arch Rational Mech Anal

Author:

Li Hai-Liang,Yang Tong,Zhong Mingying

Funder

National Natural Science Foundation of China

General Research Fund of Hong Kong

Natural Science Foundation of Guangxi Province

Capacity Building for Sci-Tech Innovation-Fundamental Scientific Research Funds

China National Funds for Distinguished Young Scientists

Publisher

Springer Science and Business Media LLC

Subject

Mechanical Engineering,Mathematics (miscellaneous),Analysis

Link

http://link.springer.com/content/pdf/10.1007/s00205-019-01438-w.pdf

Reference26 articles.

1. Cercignani, C., Illner, R., Pulvirenti, M.: The Mathematical Theory of Dilute Gases. Applied Mathematical Sciences, vol. 106. Springer, New York 1994

2. Duan, R.J., Strain, R.M.: Optimal time decay of the Vlasov-Poisson-Boltzmann system in $${{\mathbb{R}}}^3$$. Arch. Ration. Mech. Anal. 199(1), 291–328, 2011

3. Duan, R.J., Yang, T.: Stability of the one-species Vlasov-Poisson-Boltzmann system. SIAM J. Math. Anal. 41, 2353–2387, 2010

4. Duan, R.J., Yang, T., Zhu, C.J.: Boltzmann equation with external force and Vlasov-Poisson-Boltzmann system in infinite vacuum. Discrete Contin. Dyn. Syst. 16, 253–277, 2006

5. Duan, R.J., Yang, T., Zhao, H.J.: The Vlasov-Poisson-Boltzmann system in the whole space: the hard potential case. J. Differ. Equ. 252, 6356–6386, 2012

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