Random attractors of stochastic three-component reversible Gray-Scott system on unbounded domains (Q448688)
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scientific article; zbMATH DE number 6078730
| Language | Label | Description | Also known as |
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| English | Random attractors of stochastic three-component reversible Gray-Scott system on unbounded domains |
scientific article; zbMATH DE number 6078730 |
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Random attractors of stochastic three-component reversible Gray-Scott system on unbounded domains (English)
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7 September 2012
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The author considers the three-component stochastic reversible Gray-Scott model and shows that, under certain mathematical conditions, it is endowed with an attractor in the form of a ball. In order to circumvent some problems caused by the fact that the system is defined in an unbounded domain, one uses the uniform estimates on the far-field values of solutions. The asymptotic compactness of the solution is derived by using uniform estimates on the tails of solutions and then the existence of a pullback random attractor is proved.
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Gray-Scott system
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random attractor
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unbounded domain
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