ROBUSTNESS OF RANDOM ATTRACTORS FOR A STOCHASTIC REACTION-DIFFUSION SYSTEM

Yuncheng You

doi:10.11948/2016065

2016 Volume 6 Issue 4

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Yuncheng You. ROBUSTNESS OF RANDOM ATTRACTORS FOR A STOCHASTIC REACTION-DIFFUSION SYSTEM[J]. Journal of Applied Analysis & Computation, 2016, 6(4): 1000-1022. doi: 10.11948/2016065

Citation:

Yuncheng You. ROBUSTNESS OF RANDOM ATTRACTORS FOR A STOCHASTIC REACTION-DIFFUSION SYSTEM[J]. Journal of Applied Analysis & Computation, 2016, 6(4): 1000-1022. doi: 10.11948/2016065

ROBUSTNESS OF RANDOM ATTRACTORS FOR A STOCHASTIC REACTION-DIFFUSION SYSTEM

Yuncheng You

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

Abstract

Abstract

Asymptotic pullback dynamics of a typical stochastic reactiondiffusion system, the reversible Schnackenberg equations, with multiplicative white noise is investigated. The robustness of random attractor with respect to the reverse reaction rate as it tends to zero is proved through the uniform pullback absorbing property and the uniform convergence of reversible to non-reversible cocycles. This result means that, even if the reverse reactions would be neglected, the dynamics of this class of stochastic reversible reaction-diffusion systems can still be captured by the random attractor of the non-reversible stochastic raction-diffusion system in a long run.
- Random attractor /
- asymptotic dynamics /
- Stochastic Schnackenberg equations /
- robustness
MSC: 37L30;37L55;35B40;35K55

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