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Some mathematical problems in geophysical fluid dynamics. (English) Zbl 1222.35145
Friedlander, S. (ed.) et al., Handbook of mathematical fluid dynamics. Vol. III. Amsterdam: Elsevier/North Holland (ISBN 0-444-51556-9/hbk). 535-567 (2004).
Summary: This chapter addresses some mathematical aspects of the equations of geophysical fluid dynamics namely, existence, uniqueness, and regularity of solutions of the primitive equations (PEs) of the ocean, the atmosphere and the coupled atmosphere-ocean. The emphasis is on the case of the ocean which encompasses most of the mathematical difficulties.
MSC:
35Q30Stokes and Navier-Stokes equations
86A05Hydrology, hydrography, oceanography
76B03Existence, uniqueness, and regularity theory (fluid mechanics)
76D05Navier-Stokes equations (fluid dynamics)
76U05Rotating fluids
86A10Meteorology and atmospheric physics