ISSN 0253-2778

CN 34-1054/N

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A weak-Lp Prodi-Serrin type regularity criterion for electro-hydrodynamics

    Abstract
  • Regularity criteria for weak solution of the electro-hydrodynamics was studied. It was proved that the solution (u,n,p,Ψ) remains strong on 0,T if u∈Ls(0,T;Lr,∞(Ω)) or ‖u‖Ls,∞(0,T;Lr,∞(Ω))≤C, where (3/r)+(2/s)=1 and r∈(3,∞, C>0 depending only on r and Ω.
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