On the hyperbolicity of two-layer flows

Ricardo Barros; Wooyoung Choi

doi:10.1142/9789812835291_0009

On the hyperbolicity of two-layer flows

Ricardo Barros, Wooyoung Choi

Mathematical Sciences

Research output: Chapter in Book/Report/Conference proceeding › Chapter

7 Scopus citations

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.

Original language	English (US)
Title of host publication	Frontiers of Applied and Computational Mathematics
Subtitle of host publication	New Jersey Institute of Technology, USA, 19 - 21 May 2008
Publisher	World Scientific Publishing Co.
Pages	95-103
Number of pages	9
ISBN (Electronic)	9789812835291
ISBN (Print)	9789812835284
DOIs	https://doi.org/10.1142/9789812835291_0009
State	Published - Jan 1 2008

All Science Journal Classification (ASJC) codes

General Mathematics
General Physics and Astronomy

Keywords

Hyperbolicity
Scattequartic equation
Shallow water
Two-layer ows

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10.1142/9789812835291_0009

Cite this

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AB - 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.

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On the hyperbolicity of two-layer flows

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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