Irreducibility of Stochastic Complex Ginzburg-Landau Equations Driven by Pure Jump Noise and Its Applications

被引：0

作者：

Yang, Hao ^{[1
]}

Wang, Jian ^{[2
]}

Zhai, Jianliang ^{[3
]}

机构：

[1] Hefei Univ Technol, Sch Math, Hefei 230009, Anhui, Peoples R China

[2] Hangzhou Normal Univ, Sch Math, Hangzhou 311121, Peoples R China

[3] Univ Sci & Technol China, Sch Math Sci, Hefei 230026, Anhui, Peoples R China

来源：

APPLIED MATHEMATICS AND OPTIMIZATION | 2024年 / 89卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Irreducibility; Pure jump noise; Complex Ginzburg-Laudau equation; Ergodicity; NAVIER-STOKES EQUATIONS; ERGODICITY;

D O I：

10.1007/s00245-024-10115-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Considering irreducibility is fundamental for studying the ergodicity of stochastic dynamical systems. In this paper, we establish the irreducibility of stochastic complex Ginzburg-Laudau equations driven by pure jump noise. Our results are dimension free and the conditions placed on the driving noises are very mild. A crucial role is played by criteria developed by the authors of this paper and T. Zhang for the irreducibility of stochastic equations driven by pure jump noise. As an application, we obtain the ergodicity of stochastic complex Ginzburg-Laudau equations. We remark that our ergodicity result covers the weakly dissipative case with pure jump degenerate noise.

引用

页数：21

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