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• W3213140181 abstract "The asymptotic behavior of solutions of two dimensional stochastic convective Brinkman-Forchheimer (2D SCBF) equations in unbounded domains is discussed in this work (for example, Poincaré domains). We first prove the existence of $mathbb{H}^1$-random attractors for the stochastic flow generated by 2D SCBF equations (for the absorption exponent $rin[1,3]$) perturbed by an additive noise on Poincaré domains $mathcal O$. Furthermore, we deduce the existence of a unique invariant measure in $mathbb{H}^1(mathcal O) $ for the 2D SCBF equations defined on Poincaré domains. In addition, a remark on the extension of these results to general unbounded domains is also provided. Finally, for 2D SCBF equations forced by additive one-dimensional Wiener noise, we prove the upper semicontinuity of the random attractors, when the domain changes from bounded to unbounded (Poincaré) domain." @default.
• W3213140181 created "2021-11-22" @default.
• W3213140181 creator A5031256718 @default.
• W3213140181 creator A5046452698 @default.
• W3213140181 date "2023-09-01" @default.
• W3213140181 modified "2023-10-09" @default.
• W3213140181 title "$mathbb H^1$-random attractors for 2d stochastic convective Brinkman-Forchheimer equations in unbounded domains" @default.
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• W3213140181 doi "https://doi.org/10.57262/ade028-0910-807" @default.
• W3213140181 hasPublicationYear "2023" @default.
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