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Society for Industrial and Applied Mathematics, SIAM Journal on Mathematical Analysis, 2(34), p. 478-494

DOI: 10.1137/s0036141001398435

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Nonlinear Stability in Lp for a Confined System of Charged Particles

Journal article published in 2002 by María J. Cáceres, José A. Carrillo, Jean Dolbeault ORCID
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This paper is available in a repository.

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Abstract

We prove the nonlinear stability in L, with 1 p 2, of particular steady solutionsof the Vlasov-Poisson system for charged particles in the whole space IR. Our main tool is afunctional associated to the relative entropy or Casimir-energy functional.