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| Partial and Spectral-Viscosity Models for Geophysical Flows |
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Citation： |
Qingshan CHEN,Max GUNZBURGER,Xiaoming WANG.Partial and Spectral-Viscosity Models for Geophysical Flows[J].Chinese Annals of Mathematics B,2010,31(5):579~606 |
| Page view： 1800
Net amount： 1183 |
Authors： |
Qingshan CHEN; Max GUNZBURGER; Xiaoming WANG; |
Foundation： |
the US Department of Energy grant (No. DE-SC0002624) as
part of the “Climate Modeling: Simulating Climate at Regional Scale” program,the National Science Foundation (No. DMS0606671, DMS1008852). |
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| Abstract： |
Two models based on the hydrostatic primitive equations 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 are
established. 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. |
Keywords： |
Primitive equations, Partial viscosity, Spectral-eddy viscosity |
Classification： |
35Q86, 76D03, 76D33, 76F65 |
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