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| 具有零磁扩散的3维广义磁流体方程的一个爆破准则 |
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Jishan Fan1, Gen Nakamura2, Yong Zhou3
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1.Nanjing Forestry University;2.Inha University;3.Shanghai University of Finance and Economics
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| 摘要: |
| This paper proves a new regularity criterion ω:=rotu∈L1(0,T;B0∞,∞) for the 3D generalized MHD system with fractional diffusion terms (-Δ)αu with α>9/8 and zero magnetic diffusivity.Here u is the fluid velocity, ω is the vorticity and B0∞,∞ is the homogeneous Besov space. |
| 关键词: Blowup criterion generalized MHD system fractional diffusion |
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| 基金项目:NSFC (No.11171154); the Zhejiang Innovation Project (Grant No.T200905); the ZJNSF (Grant No.R6090109); the NSFC (Grant No.11171154) |
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| A blowup criterion for the 3D generalized MHD system with zero magnetic diffusivity |
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