Dynamic phase transitions: Existence of “cavitation” waves

Author:

Grinfeld Michael

Abstract

SynopsisIn 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.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference12 articles.

1. Admissibility criteria for propagating phase boundaries in a van der Waals fluid

2. 2 Dunbar S. R. . Traveling wave solutions of diffusive Lotka-Volterra interaction equations (Ph.D. Thesis, University of Minnesota, Minneapolis, 1981).

3. Classification of Traveling Wave Solutions of Reaction-Diffusion Systems.

4. Isolated Invariant Sets and the Morse Index

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