New Developments and Cosine Effect in the Viscous Shallow Water and Quasi-geostrophic Equations

Abstract

The viscous shallow water equations and quasi-geostrophic equations are considered in this paper. Some new terms, related to the Coriolis force, are revealed thanks to a rigorous asymptotic analysis. After providing well-posedness arguments for the new models, the authors perform some numerical computations that confirm the role played by the cosine effect in various physical configurations.