The stochastic primitive equations with transport noise and turbulent pressure Agresti, Antonio ; https://orcid.org/0000-0002-9573-2962 Hieber, Matthias Hussein, Amru Saal, Martin Applied Mathematics Modeling and Simulation Statistics and Probability ddc:510 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 L² 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. Springer Nature 2024 info:eu-repo/semantics/article doc-type:article text http://purl.org/coar/resource_type/c_2df8fbb1 https://research-explorer.ista.ac.at/record/12178 https://research-explorer.ista.ac.at/download/12178/17297 Agresti A, Hieber M, Hussein A, Saal M. The stochastic primitive equations with transport noise and turbulent pressure. <i>Stochastics and Partial Differential Equations: Analysis and Computations</i>. 2024;12:53-133. doi:<a href="https://doi.org/10.1007/s40072-022-00277-3">10.1007/s40072-022-00277-3</a> eng info:eu-repo/semantics/altIdentifier/doi/10.1007/s40072-022-00277-3 info:eu-repo/semantics/altIdentifier/issn/2194-0401 info:eu-repo/semantics/altIdentifier/e-issn/2194-041X info:eu-repo/semantics/altIdentifier/wos/000874389000001 info:eu-repo/semantics/altIdentifier/arxiv/2109.09561 https://creativecommons.org/licenses/by/4.0/ info:eu-repo/semantics/openAccess