Proceedings of the Royal Society of Edinburgh: Section A Mathematics

Research Article

Dynamic phase transitions: Existence of “cavitation” waves

Michael Grinfelda1

a1 Department of Mathematics, Heriot-Watt University, Edinburgh EH14 4AS, Scotland, U.K.


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.

(Received March 05 1987)

(Revised May 05 1987)