CONTINUITY OF THE FLOW OF THE BENJAMIN-BONA-MAHONY EQUATION ON PROBABILITY MEASURES

被引：2
|
作者：
de Suzzoni, Anne-Sophie [1 ]
机构：
[1] Univ Paris 13, Sorbonne Paris Cite, LAGA, CNRS,UMR 7539, F-93430 Villetaneuse, France
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2015年 / 35卷 / 07期
关键词：
Benjamin-Bona-Mahony equation; invariant measures; stability; Wasserstein metrics; global estimates; NONLINEAR SCHRODINGER-EQUATION; STATISTICAL-MECHANICS; INVARIANT-MEASURES; SYSTEMS; BBM;
D O I：
10.3934/dcds.2015.35.2905
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We use Wasserstein metrics adapted to study the action of the flow of the BBM equation on probability measures. We prove the continuity of this flow and the stability of invariant measures for finite times.
引用
收藏
页码：2905 / 2920
页数：16
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