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Random Dynamics of Stochastic Reaction–Diffusion Systems with Additive Noise
Authors:Yuncheng You
Institution:1.Department of Mathematics and Statistics,University of South Florida,Tampa,USA
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.
Keywords:
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