Random Dynamics of Stochastic Reaction–Diffusion Systems with Additive Noise |
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Authors: | Yuncheng You |
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Institution: | 1.Department of Mathematics and Statistics,University of South Florida,Tampa,USA |
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Abstract: | For a typical autocatalytic stochastic reaction–diffusion system with additive noises, the multicomponent reversible Gray–Scott reaction–diffusion system on a two-dimensional bounded domain, the existence of a random attractor and its attracting regularity are proved through the sharp uniform estimates showing respectively the pullback absorbing, asymptotically compact, and flattening properties. |
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