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-  2018 

薄域上非自治随机反应扩散方程吸引子的存在性
Existence of Attractors for Non-Autonomous Stochastic Reaction-Diffusion Equations on Thin Domains

DOI: 10.13718/j.cnki.xdzk.2018.04.011

Keywords: 薄域, 随机反应扩散方程, 加法噪音, 拉回吸引子
thin domain
, stochastic reaction-diffusion equation, additive noise, pullback attractor

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Abstract:

主要研究薄域上带加法噪音的反应扩散方程的极限行为,证明了在n+1维薄域上该方程的拉回吸引子的存在性、唯一性.
In this paper, we investigate the limiting behavior of non-autonomous stochastic reaction-diffusion equations driven by additive noise defined on thin domains. We prove the existence and uniqueness of the pullback random attractor for the equations in an n+1-dimensional thin domain

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