Well-posedness and blow-up solution for the stochastic Dullin-Gottwald-Holm equation

被引：3

作者：

Lv, Wujun ^{[1
]}

He, Ping ^{[1
]}

Wang, Qinghua ^{[1
]}

机构：

[1] Shanghai Univ Finance & Econ, Sch Math, Shanghai 200433, Peoples R China

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2019年 / 60卷 / 08期

关键词：

KORTEWEG-DE-VRIES; CAMASSA-HOLM; WAVE BREAKING;

D O I：

10.1063/1.5082367

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, to describe the uncertainty from external environment, we propose a stochastic Dullin-Gottwald-Holm (SDGH) equation by adding an additive noise to the well-known DGH equation. Using regularization, the local existence and uniqueness of the solution of SDGH are proved. By means of a priori estimates, we find that the local solution may blow up in a finite time if the initial value satisfies certain conditions.

引用

页数：10

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