Global existence of weak solution for quantum Navier-Stokes-Poisson equations
被引:6
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作者:
Yang, Jianwei
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North China Univ Water Resources & Elect Power, College Mathmat & Informat Sci, Zhengzhou 450045, Henan, Peoples R ChinaNorth China Univ Water Resources & Elect Power, College Mathmat & Informat Sci, Zhengzhou 450045, Henan, Peoples R China
Yang, Jianwei
[1
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Li, Yong
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机构:
Beijing Univ Technol, Coll Appl Sci, PingLeYuan100, Beijing 100022, Peoples R ChinaNorth China Univ Water Resources & Elect Power, College Mathmat & Informat Sci, Zhengzhou 450045, Henan, Peoples R China
Li, Yong
[2
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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
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
机构:
North China Univ Water Resources & Elect Power, Coll Math & Informat Sci, Zhengzhou 450045, Henan Province, Peoples R ChinaNorth China Univ Water Resources & Elect Power, Coll Math & Informat Sci, Zhengzhou 450045, Henan Province, Peoples R China
Yang, Jianwei
Ju, Qiangchang
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机构:
Inst Appl Phys & Computat Math, Beijing 100088, Peoples R ChinaNorth China Univ Water Resources & Elect Power, Coll Math & Informat Sci, Zhengzhou 450045, Henan Province, Peoples R China
机构:
Northwest Univ, Sch Math & CNS, Xian, Shaanxi, Peoples R China
Yulin Univ, Sch Energy Engn, Yulin, Peoples R ChinaNorthwest Univ, Sch Math & CNS, Xian, Shaanxi, Peoples R China
Cui, Meiying
Song, Wenjing
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Northwest Univ, Sch Math & CNS, Xian, Shaanxi, Peoples R ChinaNorthwest Univ, Sch Math & CNS, Xian, Shaanxi, Peoples R China
机构:
Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100190, Peoples R ChinaChinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100190, Peoples R China
Hao, Chengchun
Li, Hai-Liang
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机构:
Capital Normal Univ, Dept Math, Beijing 100037, Peoples R ChinaChinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100190, Peoples R China