Nonlinear Stability in Lp for a Confined System of Charged Particles
نویسندگان
چکیده
We prove the nonlinear stability in L p , with 1 p 2, of particular steady solutions of the Vlasov-Poisson system for charged particles in the whole space IR 6. Our main tool is a functional associated to the relative entropy or Casimir-energy functional.
منابع مشابه
NONLINEAR STABILITY IN LP FOR SOLUTIONS OF THE VLASOV-POISSON SYSTEM FOR CHARGED PARTICLES MAR A J. C ACERES AND JOS E A. CARRILLO AND JEAN DOLBEAULTy
We prove the nonlinear stability in L p , with 1 p 2, of particular steady solutions of the Vlasov-Poisson system for charged particles in the whole space IR 6. Our main tool is a functional related to the relative entropy or Casimir-energy functional.
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عنوان ژورنال:
- SIAM J. Math. Analysis
دوره 34 شماره
صفحات -
تاریخ انتشار 2002