Elsevier

Applied Mathematics Letters

Volume 20, Issue 2, February 2007, Pages 170-176
Applied Mathematics Letters

Discontinuous solutions to the Euler equations for a van der Waals fluid

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Abstract

In this work we study the discontinuous solutions to the Euler equations for a van der Waals fluid, which contain one shock and one phase transition. We consider the general case when there is a characteristic between the shock front and the phase boundary. We establish the local existence of such solutions.

Keywords

Phase transitions
Shock waves
Existence

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1

Current address: Institute of Mathematics, Fudan University, Shanghai 200433, PR China.