Partial and Spectral-Viscosity Models for Geophysical Flows  

作　　者：Qingshan CHEN Max GUNZBURGER Xiaoming WANG 

机构地区：[1]Department of Scientific Computing, Florida State University, Tallahassee, FL 32306, USA. [2]Department of Mathematics. FloridaState University, Tallahassee, FL 32306, USA.

出　　处：《Chinese Annals of Mathematics,Series B》2010年第5期579-606,共28页数学年刊（B辑英文版）

基　　金：supported by the US Department of Energy grant (No. DE-SC0002624) as part of the "Climate Modeling:Simulating Climate at Regional Scale" program;supported by the National Science Foundation(No. DMS0606671,DMS1008852)

摘　　要：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.

关 键 词：Primitive equations Partial viscosity Spectral-eddy viscosity 

分 类 号：O211.4[理学—概率论与数理统计] TQ320.662[理学—数学]