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Nonlinear Stability in Lp for a Confined System of Charged Particles

Caceres, Maria J.; Dolbeault, Jean; Carrillo, José A. (2003), Nonlinear Stability in Lp for a Confined System of Charged Particles, SIAM Journal on Mathematical Analysis, 34, 2, p. 478-494. http://dx.doi.org/10.1137/S0036141001398435

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Type
Article accepté pour publication ou publié
Date
2003
Journal name
SIAM Journal on Mathematical Analysis
Volume
34
Number
2
Publisher
Society for Industrial and Applied Mathematics
Pages
478-494
Publication identifier
Metadata
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Author(s)
Caceres, Maria J.

Dolbeault, Jean cc
CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Carrillo, José A.
Abstract (EN)
We prove the nonlinear stability in Lp, with $1\le p\le 2$, of particular steady solutions of the Vlasov--Poisson system for charged particles in the whole space R6. Our main tool is a functional associated to the relative entropy or Casimir-energy functional.
Subjects / Keywords
Csiszar-Kullback inequality; Kinetic equations; interpolation inequalities; relative entropy; nonlinear stability; Vlasov-Poisson system