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

Laurent Bernis | Zendy; Laurent Desvillettes | Zendy

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

Author(s) -

Laurent Bernis,

Laurent Desvillettes

Publication year - 2009

Publication title -

discrete and continuous dynamical systems

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.289

H-Index - 70

eISSN - 1553-5231

pISSN - 1078-0947

DOI - 10.3934/dcds.2009.24.13

Subject(s) - gravitational singularity , poisson–boltzmann equation , sobolev space , vlasov equation , boltzmann equation , discrete poisson equation , physics , space (punctuation) , mathematical physics , mathematical analysis , plasma modeling , mathematics , partial differential equation , plasma , differential equation , laplace's equation , quantum mechanics , computer science , ion , operating system

In this work, we prove that the singularities (in a fractional Sobolev space) of the classical solutions of the Vlasov-Poisson-Boltzmann equation are propagated along the characteristics of the Vlasov-Poisson equation, and decay exponentially.

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