Global well-posedness of the primitive equations of large-scale ocean dynamics with the Gent-McWilliams-Redi eddy parametrization model

DOI10.1137/23M1564316MaRDI QIDQ6661368

Peter Korn, E. S. Titi

Publication date: 13 January 2025

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

zbMATH Keywords

hydrostatic Boussinesq equationsocean primitive equationseddy parametrizationGent-McWilliams-Redi

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Thermodynamics in solid mechanics (74A15) Classical and relativistic thermodynamics (80A10) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) PDEs in connection with geophysics (35Q86)

Cites Work

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• Global well‐posedness and finite‐dimensional global attractor for a 3‐D planetary geostrophic viscous model
• On the regularity of the primitive equations of the ocean
• V<scp>ERTICAL</scp> M<scp>IXING</scp>, E<scp>NERGY</scp>, <scp>AND THE</scp> G<scp>ENERAL</scp> C<scp>IRCULATION OF THE</scp> O<scp>CEANS</scp>
• On the hydrostatic limit of stably stratified fluids with isopycnal diffusivity

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