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Pullback uniform dissipativity of stochastic reversible Schnackenberg equations. (English) Zbl 1338.37116
Summary: Asymptotic dynamics of stochastic reversible Schnackenberg equations with multiplicative white noise on a three-dimensional bounded domain is investigated in this paper. The pullback uniform dissipativity in terms of the existence of a common pullback absorbing set with respect to the reverse reaction rate of this typical autocatalytic reaction-diffusion system is proved through decomposed grouping estimates.
##### MSC:
 37L30 Infinite-dimensional dissipative dynamical systems–attractors and their dimensions, Lyapunov exponents 37L55 Infinite-dimensional random dynamical systems; stochastic equations 37H10 Generation, random and stochastic difference and differential equations 35B40 Asymptotic behavior of solutions to PDEs 35K57 Reaction-diffusion equations 60H15 Stochastic partial differential equations (aspects of stochastic analysis)
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