Existence of multidimensional non-isothermalphase transitions in a steady van der Waals flow
Existence of multidimensional non-isothermalphase transitions in a steady van der Waals flow
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DOI：
10.3934/dcds.2013.33.2221
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发表时间：
2012-12
影响因子：
1.1
通讯作者：
Shu-Yi Zhang
中科院分区：
文献类型：
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作者：
Shu-Yi Zhang
本文研究具有范德瓦尔斯型状态函数的稳定超音速流中多维非等温亚音速相变的存在性。由于亚音速特性，Lax 熵不等式 [15] 对于亚音速相变不再有效。因此，物理允许的平面波是通过粘性毛细管现象准则来选择的[24]。基于[28]中的一致稳定性结果，我们执行迭代方案[20]并建立存在性。
This paper is concerned with the existence of multi-dimensional non-isothermal subsonic phase transitions in a steady supersonic flow with the van der Waals type state function. Due to the subsonic property, the Lax entropy inequality [15] is no longer valid for subsonic phase transitions. Hence, physical admissible planar waves are chosen by the viscosity capillarity criterion [24]. Based on the uniform stability result in [28], we perform the iteration scheme [20] and establish the existence.