Relative entropies for the Vlasov-Poisson system in bounded domains

被引：9

作者：

Ben Abdallah, N

Dolbeault, J

机构：

[1] Univ Toulouse 3, MIP, CNRS, UMR 5640, F-31062 Toulouse 4, France

[2] Univ Paris 09, CEREMADE, CNRS, UMR 7534, F-75775 Paris, France

来源：

COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE | 2000年 / 330卷 / 10期

关键词：

D O I：

10.1016/S0764-4442(00)00268-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Using relative entropies we study irreversibility for the Vlasov-Poisson system with injection conditions on the boundary with or without collisions. If the solution converges for large times, this allows to deduce that the limit has a given trace on the boundary. In the one-dimensional collisionless case and under strong regularity assumptions: this is possible only for the unique stationary solution. (C) 2000 Academie des sciences/Editions scientifiques et medicales Elsevier SAS.

引用

页码：867 / 872

页数：6

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