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Propagation of singularities for classical solutions of the Vlasov-Poisson-Boltzmann equation

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Publication:1016317
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DOI10.3934/dcds.2009.24.13zbMath1160.76060OpenAlexW1993664444MaRDI QIDQ1016317

Laurent Desvillettes, Laurent Bernis

Publication date: 5 May 2009

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2009.24.13


zbMATH Keywords

exponential decaycharacteristicsfractional Sobolev spaceaveraging lemma


Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Ionized gas flow in electromagnetic fields; plasmic flow (76X05)


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Smoothing effects for classical solutions of the full Landau equation ⋮ The Vlasov-Poisson-Boltzmann system for a disparate mass binary mixture ⋮ The Vlasov-Poisson-Boltzmann system in the whole space: The hard potential case ⋮ Formation and propagation of discontinuity for Boltzmann equation in non-convex domains ⋮ Global classical solutions of the Boltzmann equation without angular cut-off ⋮ Macroscopic regularity for the Boltzmann equation



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