Random attractors and robustness for stochastic reversible reaction-diffusion systems (Q379707)
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scientific article; zbMATH DE number 6224633
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Random attractors and robustness for stochastic reversible reaction-diffusion systems |
scientific article; zbMATH DE number 6224633 |
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Random attractors and robustness for stochastic reversible reaction-diffusion systems (English)
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11 November 2013
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The author considers a reversible autocatalytic reaction-diffusion system: the stochastic reversible Gray-Scott system driven by a multiplicative white noise. After a transformation into a system of random differential equations, he uses techniques with respect to random dynamics to show that the weak solution is a random dynamical system and that there exists a random attractor. Especially, the author shows a property of the attractor, called robustness, which is inspired by the concept of upper semi-continuity.
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random dynamical systems
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random attractor
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stochastic reaction-diffusion system
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asymptotic dynamics
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pullback uniform dissipation
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random robustness
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