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.
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页数：17
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