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The Bénard problem with random perturbations: dissipativity and invariant measures

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Abstract.

We consider the Navier-Stokes equations perturbed by white noise, coupled with the heat equation. We prove an existence and uniqueness result for the solution and the existence of invariant measures for the associated semigroup.

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  1. Scuola Normale Superiore, Piazza dei Cavalieri 7, 56126 Pisa, Italy, , , , , , IT

    B. Ferrario

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  1. B. Ferrario
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Received October 13, 1995

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Ferrario, B. The Bénard problem with random perturbations: dissipativity and invariant measures. NoDEA, Nonlinear differ.equ.appl. 4, 101–121 (1997). https://doi.org/10.1007/PL00001407

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  • DOI: https://doi.org/10.1007/PL00001407

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