The Riemann problem for a simple model of phase transition

被引：1

作者：

Godlewski, E ^{[1
]}

Seguin, N ^{[1
]}

机构：

[1] Univ Paris 06, UMR 7598, LJLL, F-75005 Paris, France

来源：

COMMUNICATIONS IN MATHEMATICAL SCIENCES | 2006年 / 4卷 / 01期

关键词：

systems of conservation laws; Riemann problem; phase transition; resonance pressureless gas;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider in this paper a simple model of liquid-vapor phase transition. The PDE system corresponds to the isothermal p-system and the pressure law is defined for all positive density and involves a constant zone. Such a pressure law can occur for instance when considering the Van der Waals equation of state complemented by the Maxwell's law. The Riemann problem is globally solved for all initial states, as well in the pure phases as in the mixture zone.

引用

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页码：227 / 247

页数：21

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