Invariant measure of stochastic higher order KdV equation driven by Poisson processes*

被引：2

作者：

Xu, Pengfei ^{[1
]}

Huang, Jianhua ^{[1
]}

Yan, Wei ^{[2
]}

机构：

[1] Natl Univ Def Technol, Coll Liberal Arts & Sci, Changsha 410073, Peoples R China

[2] Henan Normal Univ, Coll Math & Informat Sci, Xinxiang 453007, Henan, Peoples R China

来源：

MATHEMATICAL MODELLING OF NATURAL PHENOMENA | 2021年 / 16卷

关键词：

Invariant measure; damped KdV equation; pure jump noises; DE-VRIES EQUATION; KORTEWEG-DEVRIES EQUATION; GLOBAL WELL-POSEDNESS; ILL-POSEDNESS; CAUCHY-PROBLEM; MODULATION;

D O I：

10.1051/mmnp/2021041

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

The current paper is devoted to stochastic damped higher order KdV equation driven by Poisson process. We establish the well-posedness of stochastic damped higher-order KdV equation, and prove that there exists an unique invariant measure for non-random initial conditions. Some discussion on the general pure jump noise case are also provided. Some numerical simulations of the invariant measure are provided to support the theoretical results.

引用

页数：17

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