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Regularity of pullback attractors for non-autonomous stochastic coupled reaction-diffusion systems |
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| Authors: | Jinyang Yin Yangrong Li and Anhui Gu |
| Institution: | School of Mathematics and Statistics, Southwest University, Chongqing 400715, China,School of Mathematics and Statistics, Southwest University, Chongqing 400715, China,School of Mathematics and Statistics, Southwest University, Chongqing 400715, China |
| Abstract: | We consider the dynamical behavior of the typical non-autonomous autocatalytic stochastic coupled reaction-diffusion systems on the entire space $\mathbb{R}^n$. Some new uniform asymptotic estimates are implemented to investigate the existence of pullback attractors in the Sobolev space $H^1(\mathbb{R}^n)^3$ for the three-component reversible Gray-Scott system. |
| Keywords: | Non-autonomous cocycle bi-spatial pullback attractor regularity of attractor three-component reversible Gray-Scott system |
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