Bounds on the growth of the velocity support for the solutions of the Vlasov-Poisson equation in a torus

被引：7

作者：

Caglioti, E ^{[1
]}

Marchioro, C ^{[1
]}

机构：

[1] Univ Rome La Sapienza, Dipartimento Matemat, I-00185 Rome, Italy

来源：

JOURNAL OF STATISTICAL PHYSICS | 2000年 / 100卷 / 3-4期

关键词：

Vlasov-Poisson equation; asymptotic behavior of the solutions;

D O I：

10.1023/A:1018623508809

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A bound on the growth of the velocity for the Vlasov-Poisson equation in a torus is given in one and two dimensions. The main tool used in the proof is a partition into fast and slow particles and the ergodic property of the free motion in a torus.

引用

页码：659 / 677

页数：19

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