Remarks on global weak solutions to a two-fluid type model
Remarks on global weak solutions to a two-fluid type model
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DOI：
10.3934/cpaa.2021072
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发表时间：
2021
影响因子：
1
通讯作者：
Huanyao Wen;Changjiang Zhu
中科院分区：
文献类型：
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作者：
Huanyao Wen;Changjiang Zhu
本文旨在回顾主要针对大数据解决方案的二流体型模型。将介绍在不同物理背景下产生的模型的一些推导。此外，我们将在允许无约束过渡到单相流的情况下，用更一般的压力定律（可以是非单调的）在一维模型中概述狄利克雷问题弱解的全局存在性证明。
The present paper aims to give a review of a two-fluid type model mostly on large-data solutions. Some derivations of the model arising in different physical background will be introduced. In addition, we will sketch the proof of global existence of weak solutions to the Dirichlet problem for the model in one dimension with more general pressure law which can be non-monotone, in the context of allowing unconstrained transition to single-phase flow.