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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
Jishan Fan1, Gen Nakamura2, Yong Zhou3
1.Nanjing Forestry University;2.Inha University;3.Shanghai University of Finance and Economics
摘要:
This paper proves a new regularity criterion ω:=rotuL1(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
DOI:
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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)
A blowup criterion for the 3D generalized MHD system with zero magnetic diffusivity
Abstract:
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