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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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
Keywords
- Random attractor
- Reaction–diffusion system
- Stochastic Gray–Scott equations
- Pullback absorbing set
- Pullback flattening