Partial and Spectral-Viscosity Models for Geophysical Flows

Author

Qingshan Chen
Max Gunzburger
Xiaoming Wang, Missouri University of Science and TechnologyFollow

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. © 2010 Editorial Office of CAM (Fudan University) and Springer Berlin Heidelberg.

Recommended Citation

Q. Chen et al., "Partial and Spectral-Viscosity Models for Geophysical Flows," Chinese Annals of Mathematics. Series B, vol. 31, no. 5, pp. 579 - 606, Springer, Aug 2010.

The definitive version is available at https://doi.org/10.1007/s11401-010-0607-2

Department(s)

Mathematics and Statistics

Comments

National Science Foundation, Grant DMS0606671

Keywords and Phrases

Partial Viscosity; Primitive Equations; Spectral-Eddy Viscosity

International Standard Serial Number (ISSN)

1860-6261; 0252-9599

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2023 Springer, All rights reserved.

Publication Date

17 Aug 2010