The global classical solution to a 1D two-fluid model with density-dependent viscosity and vacuum

被引：0
作者：
Senming Chen
Changjiang Zhu
机构：
[1] Shantou University,Department of Mathematics
[2] South China University of Technology,School of Mathematics
来源：
Science China Mathematics | 2022年 / 65卷
关键词：
two-fluid model; density-dependent viscosity; vacuum; global classical solution; 76T10; 35Q30; 35M33; 35A09;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we consider the initial-boundary problem for a 1D two-fluid model with density-dependent viscosity and vacuum. The pressure depends on two variables but the viscosity only depends on one of the densities. We prove the global existence and uniqueness of the classical solution in the one-dimensional space with large initial data and vacuum. We use a new Helmholtz free energy function and the material derivative of the velocity field to deal with the general pressure with two variables, without the equivalence condition. We also develop a new argument to handle the general viscosity.
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页码：2563 / 2582
页数：19
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