Global existence of classical solutions to the Vlasov-Poisson-Boltzmann system with given magnetic field

DOI10.1016/j.na.2006.10.016zbMath1130.82031OpenAlexW1977018452MaRDI QIDQ2382620

Xiongfeng Yang, Jie Liao

Publication date: 1 October 2007

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2006.10.016

zbMATH Keywords

global existence of classical solutionslocal Maxwellian

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) PDEs in connection with fluid mechanics (35Q35) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Kinetic theory of gases in time-dependent statistical mechanics (82C40)

Related Items (1)

On the BGK equation with some force fields in \(L^p\) space

Cites Work

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• Energy method for Boltzmann equation
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• The mathematical theory of dilute gases
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• Nonlinear stability of rarefaction waves for the Boltzmann equation
• GLOBAL SOLUTIONS TO THE BOLTZMANN EQUATION WITH EXTERNAL FORCES
• A new energy method for the Boltzmann equation
• The Vlasov‐Poisson‐Boltzmann system near Maxwellians

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