The stochastic primitive equations with transport noise and turbulent pressure

  • 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 -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.

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Author:Antonio AgrestiORCiD, Matthias Hieber, Amru HusseinORCiD, Martin Saal
Parent Title (English):Stochastics and Partial Differential Equations: Analysis and Computations
Publisher:Springer Nature - Springer
Document Type:Article
Language of publication:English
Date of Publication (online):2024/03/28
Year of first Publication:2022
Publishing Institution:Rheinland-Pfälzische Technische Universität Kaiserslautern-Landau
Date of the Publication (Server):2024/03/28
Page Number:81
First Page:531
Last Page:133
Faculties / Organisational entities:Kaiserslautern - Fachbereich Mathematik
DDC-Cassification:5 Naturwissenschaften und Mathematik / 510 Mathematik
Licence (German):Zweitveröffentlichung