
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
Type
Article accepté pour publication ou publiéDate
2003Journal name
SIAM Journal on Mathematical AnalysisVolume
34Number
2Publisher
Society for Industrial and Applied Mathematics
Pages
478-494
Publication identifier
Metadata
Show full item recordAuthor(s)
Caceres, Maria J.Dolbeault, Jean

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 systemRelated items
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