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

Discontinuous solutions to the Euler equations for a van der Waals fluid
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DOI:
10.1016/j.aml.2006.03.010
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发表时间:
2007-02
期刊:
Appl. Math. Lett.
影响因子:
--
通讯作者:
Shu-Yi Zhang
Shu-Yi Zhang
中科院分区:
其他
文献类型:
--
作者:
Shu-Yi Zhang

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在这项工作中,我们研究了包含一个激波和一个相变的van der Waals流体的欧拉方程的间断解。当激波阵面和相边界之间存在特征时,我们考虑一般情况。我们证明了这类解的局部存在性。
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.