Partial and spectral-viscosity models for geophysical flows
Analysis of PDEs
2010-10-22 v2 Atmospheric and Oceanic Physics
Geophysics
Abstract
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.
Keywords
Cite
@article{arxiv.1010.3777,
title = {Partial and spectral-viscosity models for geophysical flows},
author = {Qingshan Chen and Max Gunzburger and Xiaoming Wang},
journal= {arXiv preprint arXiv:1010.3777},
year = {2010}
}
Comments
The original publication is available at http://www.springerlink.com