Invariant measure of stochastic Boussinesq equation with zero viscosity in Banach space

DOI10.1080/14689367.2022.2128991zbMath1518.37078OpenAlexW4306359699MaRDI QIDQ6042233

Unnamed Author, Shang Wu, Zhi-Ming Liu

Publication date: 16 May 2023

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/14689367.2022.2128991

zbMATH Keywords

invariant measurestochastic Boussinesq equationsnon-separable Banach spaceKrylov-Bogoliubov theorem

Mathematics Subject Classification ID

Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Infinite-dimensional random dynamical systems; stochastic equations (37L55) Invariant measures for infinite-dimensional dissipative dynamical systems (37L40)

Cites Work

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• Vorticity and Incompressible Flow
• Global martingale solution for the stochastic Boussinesq system with zero dissipation
• The almost sure Skorokhod representation for subsequences in nonmetric spaces
• Local existence and blow-up criterion for the Boussinesq equations

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