On the hyperbolicity of two-layer flows

Document Type

Syllabus

Publication Date

1-1-2008

Abstract

We consider the two-layer shallow water equations in the presence of the top free surface and find explicit conditions for which the system is hyperbolic. It is commonly believed that, analogously to the rigid-lid case, this can only happen for small relative speeds. Using both the root location criteria for a quartic equation and a geometrical approach, it is shown that hyperbolicity is held for not only small, but also large relative speeds.

Identifier

84969673069 (Scopus)

ISBN

[9789812835284, 9789812835291]

Publication Title

Frontiers of Applied and Computational Mathematics New Jersey Institute of Technology Usa 19 21 May 2008

External Full Text Location

https://doi.org/10.1142/9789812835291_0009

First Page

95

Last Page

103

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