Global smooth solutions to 3D MHD with mixed partial dissipation and magnetic diffusion
被引:1
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作者:
Su, Menglong
论文数: 0引用数: 0
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机构:
Luoyang Normal Univ, Sch Math Sci, Luoyang 471022, Peoples R China
Jilin Univ, Key Lab Symbol Computat & Knowledge Engn, Minist Educ, Changchun 130012, Peoples R ChinaLuoyang Normal Univ, Sch Math Sci, Luoyang 471022, Peoples R China
Su, Menglong
[1
,2
]
Wang, Jian
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h-index: 0
机构:
Ocean Univ China, Sch Math Sci, Qingdao 266000, Peoples R ChinaLuoyang Normal Univ, Sch Math Sci, Luoyang 471022, Peoples R China
Wang, Jian
[3
]
机构:
[1] Luoyang Normal Univ, Sch Math Sci, Luoyang 471022, Peoples R China
[2] Jilin Univ, Key Lab Symbol Computat & Knowledge Engn, Minist Educ, Changchun 130012, Peoples R China
[3] Ocean Univ China, Sch Math Sci, Qingdao 266000, Peoples R China
incompressible magnetohydrodynamics;
global smooth solution;
partial dissipation and magnetic diffusion;
D O I:
10.1186/1029-242X-2013-345
中图分类号:
O29 [应用数学];
学科分类号:
070104 ;
摘要:
In this paper, we prove the existence of global smooth solutions to the Cauchy problem of 3D incompressible magnetohydrodynamics (MHD) flows with mixed partial dissipation and magnetic diffusion if the initial condition is suitably small.
机构:
Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China
Capital Normal Univ, Beijing Ctr Math & Informat Sci, Beijing 100048, Peoples R ChinaCapital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China
Jiu, Quansen
Liu, Jitao
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机构:
Chinese Univ Hong Kong, Inst Math Sci, Hong Kong, Hong Kong, Peoples R China
Univ Fed Rio de Janeiro, Inst Matemat, BR-21941909 Rio De Janeiro, RJ, BrazilCapital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China
机构:
Jiangxi Normal Univ, Coll Math & Informat Sci, Nanchang 330022, Jiangxi, Peoples R ChinaJiangxi Normal Univ, Coll Math & Informat Sci, Nanchang 330022, Jiangxi, Peoples R China
Ye, Xia
Zhu, Mingxuan
论文数: 0引用数: 0
h-index: 0
机构:
Jiaxing Univ, Dept Math, Jiaxing 314001, Peoples R ChinaJiangxi Normal Univ, Coll Math & Informat Sci, Nanchang 330022, Jiangxi, Peoples R China