A new blowup criterion for strong solutions to the Cauchy problem of three-dimensional compressible magnetohydrodynamic equations
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作者:
Zhu, Limei
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South China Univ Technol, Sch Math, Guangzhou 510641, Guangdong, Peoples R ChinaSouth China Univ Technol, Sch Math, Guangzhou 510641, Guangdong, Peoples R China
Zhu, Limei
[1
]
Chen, Yingshan
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South China Univ Technol, Sch Math, Guangzhou 510641, Guangdong, Peoples R ChinaSouth China Univ Technol, Sch Math, Guangzhou 510641, Guangdong, Peoples R China
Chen, Yingshan
[1
]
机构:
[1] South China Univ Technol, Sch Math, Guangzhou 510641, Guangdong, Peoples R China
In this paper, we establish a new blowup criterion for the strong solution to the Cauchy problem of the three-dimensional compressible MHD system with vacuum. Specifically, we obtain the blowup criterion in terms of (LtLxq1)-L-infinity-norm of the density and (LtLx6)-L-infinity of the magnetic field. This criterion is closer to the basic energy and hence is superior to all the previous criterions in terms of the density and the magnetic field. (C) 2017 Elsevier Ltd. All rights reserved.
机构:
South China Univ Technol, Dept Math, Guangzhou 510641, Guangdong, Peoples R ChinaSouth China Univ Technol, Dept Math, Guangzhou 510641, Guangdong, Peoples R China
Chen, Yingshan
Hou, Xiaofeng
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机构:
Guangdong Univ Technol, Fac Appl Math, Guangzhou 510006, Guangdong, Peoples R ChinaSouth China Univ Technol, Dept Math, Guangzhou 510641, Guangdong, Peoples R China
Hou, Xiaofeng
Zhu, Limei
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机构:
South China Univ Technol, Dept Math, Guangzhou 510641, Guangdong, Peoples R ChinaSouth China Univ Technol, Dept Math, Guangzhou 510641, Guangdong, Peoples R China
机构:
South China Univ Technol, Dept Math, Guangzhou 510641, Guangdong, Peoples R ChinaSouth China Univ Technol, Dept Math, Guangzhou 510641, Guangdong, Peoples R China
Chen, Yingshan
Hou, Xiaofeng
论文数: 0引用数: 0
h-index: 0
机构:
Guangdong Univ Technol, Fac Appl Math, Guangzhou 510006, Guangdong, Peoples R ChinaSouth China Univ Technol, Dept Math, Guangzhou 510641, Guangdong, Peoples R China
Hou, Xiaofeng
Zhu, Limei
论文数: 0引用数: 0
h-index: 0
机构:
South China Univ Technol, Dept Math, Guangzhou 510641, Guangdong, Peoples R ChinaSouth China Univ Technol, Dept Math, Guangzhou 510641, Guangdong, Peoples R China