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- W3112352004 abstract "The present work is concerned with two-dimensional stochastic subcritical and critical convective Brinkman-Forchheimer (2 D SCBF) equations perturbed by a white noise (non-degenerate) in smooth bounded domains in R2. We establish two important properties of the Markov semigroup associated with the solutions of 2 D SCBF equations (for the absorption exponent r = 1, 2, 3), that is, irreducibility and strong Feller property. These two properties implies the uniqueness of invariant measures and ergodicity also. Then, we discuss the ergodic behavior of 2 D SCBF equations by providing a Large Deviation Principle (LDP) for the occupation measure for large time (Donsker-Varadhan), which describes the exact rate of exponential convergence." @default.
- W3112352004 created "2020-12-21" @default.
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- W3112352004 date "2021-12-09" @default.
- W3112352004 modified "2023-09-25" @default.
- W3112352004 title "Large deviation principle for occupation measures of two dimensional stochastic convective Brinkman-Forchheimer equations" @default.
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- W3112352004 doi "https://doi.org/10.1080/07362994.2021.2005626" @default.
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