0546851 20250310155908.120211019235959.9 85108270000 000670295000019 10.1016/j.jde.2021.05.049 60 s. P cav_un_epca*02569450022-03962961 (2021)617-676Elsevier Stochastic PDEs Primitive equations Global well-posedness Transport noise cav_un_auth*0202382 Brzezniak Z. GB cav_un_auth*0370372 Slavík Jakub UTIA-B Stochastická informatika Department of Stochastic Informatics SI SI CZ Ústav teorie informace a automatizace AV ČR, v. v. i. http://library.utia.cas.cz/separaty/2021/SI/slavik-0546851-P.pdf https://www.sciencedirect.com/science/article/pii/S0022039621003521 We show that the stochastic 3D primitive equations with the Neumann boundary condition on the top, the lateral Dirichlet boundary condition and either the Dirichlet or the Neumann boundary condition on the bottom driven by multiplicative gradient-dependent white noise have unique maximal strong solutions both in the stochastic and PDE senses under certain assumptions on the growth of the noise. For the case of the Neumann boundary condition on the bottom, global existence is established by using the decomposition of the vertical velocity to the barotropic and baroclinic modes and an iterated stopping time argument. An explicit example of non-trivial infinite dimensional noise depending on the vertical average of the horizontal gradient of horizontal velocity is presented. WOS BA 10000 10100 10102 2022 2 2 R hod 4 4rh 4 20250310155548.7 4 20250310155908.1 RVO:67985556 http://hdl.handle.net/11104/0323441 S n.a. Article Mathematics C MATHEMATICS 2.816 0.703 9.4 0.03365 1.413 22349 150 1.918 33.16 2.33 3790 Q1 2.359 723 Q1 94.1 Q1 Q1* 2.28 Q1 94.144 2021 Soubory v repozitáři: slavik-546851.pdf 85108270000 SCOPUS PUBMED 000670295000019 WOS cav_un_epca*0256945 Journal of Differential Equations 0022-0396 1090-2732 Roč. 296 č. 1 2021 617 676 Elsevier