Shallow water equations: viscous solutions and inviscid limit

We establish the inviscid limit of the viscous shallow water equations to the Saint-Venant system. For the viscous equations, the viscosity terms are more degenerate when the shallow water is close to the bottom, in comparison with the classical Navier-Stokes equations for barotropic gases; thus, th...

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Bibliographic Details
Main Authors: Chen, G, Perepelitsa, M
Format: Journal article
Language:English
Published: 2012