Partial and Spectral-Viscosity Models for Geophysical Flows
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.
作 者： Qingshan CHEN Max GUNZBURGER Xiaoming WANG 作者单位： Qingshan CHEN,Max GUNZBURGER(Department of Scientific Computing, Florida State University, Tallahassee, FL 32306, USA)Xiaoming WANG(Department of Mathematics, Florida State University, Tallahassee, FL 32306, USA)
刊 名： 数学年刊B辑（英文版） ISTIC SCI 英文刊名： CHINESE ANNALS OF MATHEMATICS,SERIES B 年，卷(期)： 2010 31(5) 分类号： O1 关键词： Primitive equations Partial viscosity Spectral-eddy viscosity