Stability of the invariant measure for the 3D stochastic cubic Ginzburg–Landau systems

IF 0.5 4区数学 Q4 MATHEMATICS, APPLIED

Dynamical Systems-An International Journal Pub Date : 2022-05-30 DOI:10.1080/14689367.2022.2083485

Dengdi Chen, Yan Zheng

引用次数: 0

Abstract

The current paper is devoted to 3D stochastic Ginzburg–Landau equations with degenerate random forcing. We establish the stability of stochastic systems by investigating the relationship between invariant measures under the action of transition semigroups corresponding to different sets of parameters. Towards this aim a new form of bound on the difference between solutions along with the spectral gap plays a significant role.

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三维随机三次Ginzburg–Landau系统不变测度的稳定性

本文研究具有退化随机强迫的三维随机Ginzburg–Landau方程。我们通过研究在对应于不同参数集的过渡半群作用下不变测度之间的关系，建立了随机系统的稳定性。为了实现这一目标，一种新形式的解之间的差的边界以及谱隙起着重要作用。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Dynamical Systems-An International Journal 物理-力学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Dynamical Systems: An International Journal is a world-leading journal acting as a forum for communication across all branches of modern dynamical systems, and especially as a platform to facilitate interaction between theory and applications. This journal publishes high quality research articles in the theory and applications of dynamical systems, especially (but not exclusively) nonlinear systems. Advances in the following topics are addressed by the journal: •Differential equations •Bifurcation theory •Hamiltonian and Lagrangian dynamics •Hyperbolic dynamics •Ergodic theory •Topological and smooth dynamics •Random dynamical systems •Applications in technology, engineering and natural and life sciences