Partial and spectral-viscosity models for geophysical flows

Details Partial and spectral-viscosity models for geophysical flows Partial and spectral-viscosity models for geophysical flows

2010-10-19

arxiv.org/abs/1010.3777v2

Chinese Annals of Mathematics - Series B, 31:579-606, 2010

Mathematics

Analysis of PDEs

The original publication is available at http://www.springerlink.com

Scientific paper

10.1007/s11401-010-0607-2

Two models based on the hydrostatic primitive equa- tions are proposed. The first model is the primitive equations with partial viscosity only, and is oriented towards large-scale wave structures in the ocean and atmosphere. The second model is the viscous primitive equations with spectral eddy viscosity, and is oriented towards turbulent geophysical flows. For both models, the existence and uniqueness of global strong solutions is estab- lished. For the second model, the convergence of the solutions to the solutions of the classical primitive equations as eddy viscosity parameters tend to zero is also established.

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