Global smooth solutions to 3D MHD with mixed partial dissipation and magnetic diffusion

被引:1
|
作者
Su, Menglong [1 ,2 ]
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
关键词
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.
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页数:18
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