Exact Free Surface Flows for Shallow Water Equations II: The Compressible Case

DOI10.1002/SAPM199594157zbMath0830.76079OpenAlexW4233125156MaRDI QIDQ4836788

B. Mayil Vaganan, P. L. Sachdev

Publication date: 28 January 1996

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/sapm199594157

zbMATH Keywords

isothermal mediumbarotropic mediumdamping traveling wavedouble psi-series

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Cites Work

• Unnamed Item
• New similarity reductions of the Boussinesq equation
• Invariance group properties and exact solutions of equations describing time-dependent free surface flows under gravity
• Exact Simple Waves on Shear Flows in a Compressible Barotropic Medium
• Exact, self-similar, time-dependent free surface flows under gravity
• The interaction of large amplitude barotropic waves with an ambient shear flow: critical flows
• Exact Free Surface Flows for Shallow Water Equations I: The Incompressible Case
• Solitary Waves in an Atmosphere with Arbitrary Wind and Density Profiles
• On long waves with cross-wind in an atmosphere
• The interaction of large amplitude shallow-water waves with an ambient shear flow: non-critical flows
• Simple waves on shear flows: similarity solutions

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