Global existence of weak solution for quantum Navier-Stokes-Poisson equations

被引:6
|
作者
Yang, Jianwei [1 ]
Li, Yong [2 ]
机构
[1] North China Univ Water Resources & Elect Power, College Mathmat & Informat Sci, Zhengzhou 450045, Henan, Peoples R China
[2] Beijing Univ Technol, Coll Appl Sci, PingLeYuan100, Beijing 100022, Peoples R China
基金
中国国家自然科学基金;
关键词
HYDRODYNAMIC MODEL; SYSTEM;
D O I
10.1063/1.4996015
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In this paper, we consider the compressible quantum Navier-Stokes-Poisson equations with a linear density-dependent viscosity. By the use of a singular pressure close to vacuum, we prove the global-in-time existence of weak solutions in a three-dimensional torus for large data in the sense of distribution. Published by AIP
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页数:12
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