GLOBAL EXISTENCE OF WEAK SOLUTIONS TO THE THREE-DIMENSIONAL FULL COMPRESSIBLE QUANTUM EQUATIONS

被引：0
|
作者：
Boling Guo [1 ]
Binqiang Xie [2 ]
机构：
[1] Institute of Applied Physics and Computational Math.
[2] The Graduate School of China Academy of Engineering Physics
来源：
Annals of Applied Mathematics | 2018年 / 34卷 / 01期
关键词：
global weak solution; compressible quantum Navier-Stokes equations; thermal conduction;
D O I：
暂无
中图分类号：
O413 [量子论];
学科分类号：
摘要：
We consider the quantum Navier-Stokes equations for the viscous, compressible, heat conducting fluids on the three-dimensional torus T;. The model is based on a system which is derived by Jungel, Matthes and Milisic [15]. We made some adjustment about the relation of the viscosities of quantum terms.The viscosities and the heat conductivity coefficient are allowed to depend on the density, and may vanish on the vacuum. By several levels of approximation we prove the global-in-time existence of weak solutions for the large initial data.
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页码：1 / 31
页数：31
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