The primitive equations with stochastic wind driven boundary conditions

DOI10.1016/j.matpur.2024.01.001arXiv2009.09449OpenAlexW4391429773WikidataQ128814405 ScholiaQ128814405MaRDI QIDQ6202714

Martin Saal, Matthias Hieber, Tim Binz, Amru Hussein

Publication date: 27 February 2024

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.09449

zbMATH Keywords

critical spacesprimitive equationshydrostatic Neumann mapstochastic wind driven boundary conditions

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Hydrology, hydrography, oceanography (86A05) Stochastic analysis applied to problems in fluid mechanics (76M35) Meteorology and atmospheric physics (86A10) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) PDEs with randomness, stochastic partial differential equations (35R60) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61) PDEs in connection with geophysics (35Q86) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Geophysical flows (76U60)

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