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Dynamic phase transitions: Existence of “cavitation” waves

Published online by Cambridge University Press:  14 November 2011

Michael Grinfeld
Michael Grinfeld
Affiliation:
Department of Mathematics, Heriot-Watt University, Edinburgh EH14 4AS, Scotland, U.K.
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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
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 107 , Issue 1-2 , 1987 , pp. 153 - 163
Copyright
Copyright © Royal Society of Edinburgh 1987

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