GLOBAL WELL-POSEDNESS OF THE STOCHASTIC CAMASSA-HOLM EQUATION

被引：0

作者：

Chen, Yong ^{[1
]}

Duan, Jinqiao ^{[2
]}

Gao, Hongjun ^{[3
]}

机构：

[1] Zhejiang Sci Tech Univ, Sch Sci, Hangzhou 310018, Peoples R China

[2] IIT, Dept Appl Math, Chicago, IL 60616 USA

[3] Southeast Univ, Sch Math, Nanjing 211189, Jiangsu, Peoples R China

来源：

COMMUNICATIONS IN MATHEMATICAL SCIENCES | 2021年 / 19卷 / 03期

关键词：

stochastic Camassa-Holm equation; martingale solutions; regularization; tightness; SHALLOW-WATER EQUATION; WEAK SOLUTIONS; CONSERVATIVE SOLUTIONS; DISSIPATIVE SOLUTIONS; BREAKING WAVES; REGULARIZATION; EXISTENCE;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish the existence of global martingale solutions of the stochastic Camassa-Holm equation in H-1(R). The construction of the solution is based on the regularization method and the stochastic compactness method. Furthermore, we use Borel-Cantelli Lemma to prove the global existence of mild solution of the stochastic Camassa-Holm equation with small noise in L-2(R).

引用

页码：607 / 627

页数：21

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