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   Regularity criterion for weak solution to the 3d micropolar fluid equations  
   
نویسنده wang y.-z. ,chen z.
منبع journal of applied mathematics - 2011 - دوره : 2011 - شماره : 0
چکیده    Regularity criterion for the 3d micropolar fluid equations is investigated. we prove that,for some t > 0,if ℓ0t∥ v x3 ∥lωp d t <∞,where 3 /ω + 2 /p ≤ 1 and ω ≥ 3,then the solution (v,w) can be extended smoothly beyond t = t. the derivative vx3 can be substituted with any directional derivative of v. © 2011 y.-z. wang and z. chen.
آدرس school of mathematics and information sciences,north china university of water resources and electric power, China, school of mathematics and information sciences,north china university of water resources and electric power, China
 
     
   
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