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...
Main Authors: | Chen, G, Perepelitsa, M |
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Format: | Journal article |
Language: | English |
Published: |
2012
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