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Random Dynamics of Stochastic Reaction–Diffusion Systems with Additive Noise

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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… Click to show full 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: dynamics stochastic; reaction diffusion; reaction; random dynamics; stochastic reaction

Journal Title: Journal of Dynamics and Differential Equations
Year Published: 2017

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