数学季刊 ›› 2015, Vol. 30 ›› Issue (3): 339-348.doi: 10.13371/j.cnki.chin.q.j.m.2015.03.004
摘要: In this paper,we study the regularity criterion of weak solutions to the3 D incompressible Hall-magnetohydrodynamics,which is ifu and Bsatisfy the condition∫0T‖\alphax3u(t)‖qLP+‖▽B‖γLβdt<∞ with 3/p+2/q≤1,3/β+2/γ≤1,p>3,β>3,then the weak solution(u,B) is a smooth one on(0,T].
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