LIMITING DYNAMICS FOR NON-AUTONOMOUS STOCHASTIC RETARDED REACTION-DIFFUSION EQUATIONS ON THIN DOMAINS

Li Dingshi; Lu Kening; Wang Bixiang; Wang Xiaohu

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LIMITING DYNAMICS FOR NON-AUTONOMOUS STOCHASTIC RETARDED REACTION-DIFFUSION EQUATIONS ON THIN DOMAINS

机译：限制薄畴对非自主随机延迟反应扩散方程的动态

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摘要

A system of stochastic retarded reaction-diffusion equations with multiplicative noise and deterministic non-autonomous forcing on thin domains is considered. Relations between the asymptotic behavior for the stochastic retarded equations defined on thin domains in Rn+1 and an equation on a domain in R-n are investigated. We first show the existence and uniqueness of tempered random attractors for these equations. Then, we analyze convergence properties of the solutions as well as the attractors.

机译：考虑了具有乘法噪声的随机延迟反应扩散方程系统和确定性非自主强制在薄域上。研究了在RN + 1的薄域中定义的随机延迟方程的渐近行为与R-N中域的等式的关系。我们首先显示出这些方程式回火随机吸引子的存在和唯一性。然后，我们分析解决方案的收敛属性以及吸引子。

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来源
《Discrete and continuous dynamical systems》 |2019年第7期|3717-3747|共31页
作者
Li Dingshi; Lu Kening; Wang Bixiang; Wang Xiaohu;
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作者单位

Southwest Jiaotong Univ Sch Math Chengdu 610031 Sichuan Peoples R China;

Brigham Young Univ Dept Math Provo UT 84602 USA|Sichuan Univ Dept Math Chengdu 610064 Sichuan Peoples R China;

New Mexico Inst Min & Technol Dept Math Socorro NM 87801 USA;

Sichuan Univ Dept Math Chengdu 610064 Sichuan Peoples R China;

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原文格式 PDF
正文语种 eng
中图分类
关键词
Thin domain; stochastic retarded reaction-diffusion equation; pullback attractor; upper semicontinuity;

机译：薄域;随机延迟反应扩散方程;回调吸引子;上半连续性;

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专利

1. LIMITING DYNAMICS FOR NON-AUTONOMOUS STOCHASTIC RETARDED REACTION-DIFFUSION EQUATIONS ON THIN DOMAINS [J] . Li Dingshi, Lu Kening, Wang Bixiang, Discrete and continuous dynamical systems . 2019,第7期

机译：薄域上非自治延迟时滞反应扩散方程的极限动力学
2. Limiting behavior of non-autonomous stochastic reaction-diffusion equations on unbounded thin domains [J] . Shi Lin, Li Xiliang Journal of Mathematical Physics . 2019,第8期

机译：非自主随机反应扩散方程对无界薄畴的限制行为
3. Limiting dynamics for stochastic reaction-diffusion equations on the Sobolev space with thin domains [J] . Computers & mathematics with applications . 2020,第2期

机译：具有薄域的Sobolev空间上随机反应扩散方程的极限动力学
4. A new model for the breakdown dynamics of ultra-thin gate oxides based on the stochastic logistic differential equation [C] . Miranda, E., Jimenez, . 2004

机译：基于随机Logistic微分方程的超薄栅氧化物击穿动力学新模型
5. Existence of Random Attractors of Stochastic Fractional Reaction-Diffusion Equations in Bounded Domains [D] . ?Attanasio, Ayla Jean 2020

机译：有界畴内随机分数反应扩散方程的随机吸引子存在
6. The diffusive finite state projection algorithm for efficient simulation of the stochastic reaction-diffusion master equation [O] . Brian Drawert, Michael J. Lawson, Linda Petzold, -1

机译：用于有效模拟随机反应扩散主方程的扩散有限状态投影算法
7. Limiting dynamics for non-autonomous stochastic retarded reaction-diffusion equations on thin domains [O] . Dingshi Li, Kening Lu, Bixiang Wang, 2019

机译：限制薄畴对非自主随机延迟反应扩散方程的动态

LIMITING DYNAMICS FOR NON-AUTONOMOUS STOCHASTIC RETARDED REACTION-DIFFUSION EQUATIONS ON THIN DOMAINS

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