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Uniformly random attractor for the three-dimensional stochastic nonautonomous Camassa-Holm equations - MaRDI portal

Uniformly random attractor for the three-dimensional stochastic nonautonomous Camassa-Holm equations (Q2015597)

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scientific article; zbMATH DE number 6306880
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Uniformly random attractor for the three-dimensional stochastic nonautonomous Camassa-Holm equations
scientific article; zbMATH DE number 6306880

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    Uniformly random attractor for the three-dimensional stochastic nonautonomous Camassa-Holm equations (English)
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    23 June 2014
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    Summary: We consider the uniformly random attractor for the three-dimensional stochastic nonautonomous Camassa-Holm equations in the periodic box \([0,l]^3\) in this paper. We associate with the concepts of uniform attractor and random attractor and produce the concept of uniformly random attractor for a process. Then we establish the existence of the uniformly random attractor in \(D(A^{1/2})\) and \(D(A)\) for the equations.
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