Abstract

This paper is concerned with a model of phase transition, the Euler equations with van der Waals gas satisfied Maxwell’s law. We study the composite waves for the two-dimensional (2D) Euler equations for pseudo-steady supersonic flow with van der Waals gas satisfied Maxwell’s law around a sharp corner. According to the initial value of the specific volume and the properties of van der Waals gas, the composite waves at the sharp corner are constructed case by case. Recently, the centred wave solutions are constructed that include centered simple wave, contact discontinuity, composite wave (jump-fan, fan-jump or fan-jump-fan), etc. We mainly discuss the solutions involving expansive discontinuity wave in the present paper.

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