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

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.