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Slow Manifolds and Invariant Sets of the Primitive Equations
Publisher: American Meteorological Society
Abstract: The authors review, in a geophysical setting, several recent mathematical results on the forced?dissipative hydrostatic primitive equations with a linear equation of state in the limit of strong rotation and stratification, ...
Physical Interpretation of the Attractor Dimension for the Primitive Equations of Atmospheric Circulation
Publisher: American Meteorological Society
Abstract: In a series of recent papers, some of the authors have addressed with mathematical rigor some aspects of the primitive equations governing the large-scale atmospheric motion. Among other results, they derived without ...
Free Gravity Waves and Balanced Dynamics
Publisher: American Meteorological Society
Abstract: It is shown how a renormalization technique, which is a variant of classical Krylov?Bogolyubov?Mitropol'skii averaging, can be used to obtain slow evolution equations for the vortical and inertia?gravity wave components ...