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• W3200264807 abstract "Abstract In this paper we consider the stochastic primitive equation for geophysical flows subject to transport noise and turbulent pressure. Admitting very rough noise terms, the global existence and uniqueness of solutions to this stochastic partial differential equation are proven using stochastic maximal $$L^2$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:msup> <mml:mi>L</mml:mi> <mml:mn>2</mml:mn> </mml:msup> </mml:math> -regularity, the theory of critical spaces for stochastic evolution equations, and global a priori bounds. Compared to other results in this direction, we do not need any smallness assumption on the transport noise which acts directly on the velocity field and we also allow rougher noise terms. The adaptation to Stratonovich type noise and, more generally, to variable viscosity and/or conductivity are discussed as well." @default.
• W3200264807 created "2021-09-27" @default.
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• W3200264807 date "2022-10-27" @default.
• W3200264807 modified "2023-10-01" @default.
• W3200264807 title "The stochastic primitive equations with transport noise and turbulent pressure" @default.
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• W3200264807 doi "https://doi.org/10.1007/s40072-022-00277-3" @default.
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