Averaging principle of stochastic Burgers equation driven by Lévy processes

被引：1

作者：

Yue, Hongge ^{[1
,2
]}

Xu, Yong ^{[1
,3
,5
]}

Wang, Ruifang ^{[4
]}

Jiao, Zhe ^{[1
]}

机构：

[1] Northwestern Polytech Univ, Sch Math & Stat, Xian 710072, Peoples R China

[2] Ningxia Univ, Sch Math & Stat, Yinchuan 750021, Peoples R China

[3] Northwestern Polytech Univ, MOE Key Lab Complex Sci Aerosp, Xian 710072, Peoples R China

[4] Shanxi Univ, Sch Math Sci, Taiyuan 0300062, Peoples R China

[5] Northwestern Polytech Univ, MIIT Key Lab Dynam & Control Complex Syst, Xian 710072, Peoples R China

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2023年 / 64卷 / 10期

基金：

中央高校基本科研业务费专项资金资助;

关键词：

CONVERGENCE; SYSTEMS;

D O I：

10.1063/5.0146862

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We are concerned about the averaging principle for the stochastic Burgers equation with slow-fast time scale. This slow-fast system is driven by Levy processes. Under some appropriate conditions, we show that the slow component of this system strongly converges to a limit, which is characterized by the solution of stochastic Burgers equation whose coefficients are averaged with respect to the stationary measure of the fast-varying jump-diffusion. To illustrate our theoretical result, we provide some numerical simulations.

引用

页数：15

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