Random attractors and robustness for stochastic reversible reaction-diffusion systems

Yuncheng You

doi:10.3934/dcds.2014.34.301

Article Contents

2014, Volume 34, Issue 1: 301-333. Doi: 10.3934/dcds.2014.34.301

This issue Previous Article Random attractors for non-autonomous stochastic wave equations with multiplicative noise Next Article

Random attractors and robustness for stochastic reversible reaction-diffusion systems

Yuncheng You^1,

1.
Department of Mathematics and Statistics, University of South Florida, Tampa, FL 33620-5700

Received: September 30, 2012

Revised: January 31, 2013

Published: December 2013

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Abstract

For a typical stochastic reversible reaction-diffusion system with multiplicative white noise, the trimolecular autocatalytic Gray-Scott system on a three-dimensional bounded domain with random noise perturbation proportional to the state of the system, the existence of a random attractor and its robustness with respect to the reverse reaction rates are proved through sharp and uniform estimates showing the pullback uniform dissipation and the pullback asymptotic compactness.

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Mathematics Subject Classification: Primary: 37L30, 37L55; Secondary: 35B40, 35K55, 60H15.

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