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Random Dynamics of Stochastic Reaction–Diffusion Systems with Additive Noise

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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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Authors and Affiliations

  1. Department of Mathematics and Statistics, University of South Florida, Tampa, FL, 33620, USA

    Yuncheng You

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  1. Yuncheng You
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You, Y. Random Dynamics of Stochastic Reaction–Diffusion Systems with Additive Noise. J Dyn Diff Equat 29, 83–112 (2017). https://doi.org/10.1007/s10884-015-9431-4

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  • DOI: https://doi.org/10.1007/s10884-015-9431-4

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