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Dynamic phase transitions: Existence of “cavitation” waves

Published online by Cambridge University Press:  14 November 2011

Michael Grinfeld
Affiliation:
Department of Mathematics, Heriot-Watt University, Edinburgh EH14 4AS, Scotland, U.K.

Synopsis

In this paper we examine the influence of capillarity on existence and uniqueness of travelling wave solutions in an isothermal system of van der Waals fluids. Existence and non-uniqueness theorems are proved using phase-space analysis and topological methods.

Type
Research Article
Copyright
Copyright © Royal Society of Edinburgh 1987

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