Mathematical analysis of geophysical balance models

Journal of Differential Equations

Volumn 179, Issue 1, 2002, Pages 1-26

  Jones, Don A ^a  

^a ARIZONA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037050692     PISSN: 00220396     EISSN: None     Source Type: Journal    
DOI: 10.1006/jdeq.2001.4024     Document Type: Article

References (26)

1. Iterated geostrophic intermediate models
2. On intermediate models for barotrophic continental shelf and slope flow fields. Formulation and comparison of exact solutions
3. On intermediate models for barotrophic continental shelf and slope flow fields. Comparison of numerical model solutions in doubly periodic domains
4. Regularity and integrability of rotating shallow water equations
5. Validity of the quasigeostrophic model for large-scale flow in the atmosphere and ocean
6. Reduced systems for the shallow water equations
7. The use of the primitive equations of motion in numerical prediction
8. On the construction of families of approximate inertial manifolds
9. Averaging over fast gravity waves for geophysical flows with arbitrary potential vorticity
10. Asymptotics of the solutions of hyperbolic equations with a skew-symmetric perturbation
11. "Atmosphere-Ocean Dynamics"
12. Phenomenology of the low-frequency variability in a reduced-gravity, quasigeostrophic double-gyre model
13. Resolution effects and enslaved finite difference schemes for a double gyre, shallow water model
14. The slow equations
15. Intermediate models of planetary circulations in the atmosphere and ocean
16. Potential vorticity inversion on a hemisphere
17. The statistics and sensitivity of a double-gyre model: The reduced-gravity, quasigeostrophic case
18. A note on a consistent quasi-geostrophic model in a multiply connected domain
19. The evolution of boundary pressure in ocean basins
20. "Geophysical Fluid Dynamics"
21. On the problem of initial data for the primitive equations
22. Enslaved finite difference approximations for quasigeostrophic shallow flows
23. Singular limits in bounded domains for quasilinear symmetric hyperbolic systems having a vorticity equation
24. Fast singular limits of hyperbolic PDEs
25. Potential vorticity inversion and balanced equations of motion for rotating and stratified flows
26. Rossby-number expansions, slaving principles, and balance dynamics