Smooth convergence of random center manifolds for SPDEs in varying phase spaces

被引：7
|
作者：
Shi, Lin [1 ]
机构：
[1] Southwest Jiaotong Univ, Sch Math, Chengdu 610031, Peoples R China
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2020年 / 269卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Stochastic partial differential equation; Random dynamical systems; Random center manifold; Singularly perturbed phase spaces; Smooth convergence; NAVIER-STOKES EQUATIONS; INVARIANT-MANIFOLDS; DIFFUSION EQUATIONS; DOMAIN; PERTURBATION; DYNAMICS; BEHAVIOR; THEOREM;
D O I：
10.1016/j.jde.2020.01.028
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study the limiting behavior of center manifolds for a class of singularly perturbed stochastic partial differential equations in terms of the phase spaces. We first prove the existence and smoothness of random center manifolds for these equations. Then, we establish the smooth convergence of these random center manifolds as the phase spaces approach to their singular limit. (C) 2020 Elsevier Inc. All rights reserved.
引用
收藏
页码：1963 / 2011
页数：49
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