electro-hydrodynamics方程的弱L~p Prodi-Serrin型正则准则(英)

主要研究了electro-hydrodynamics方程弱解的正则准则.证明了在条件u∈L~s(0,T;L~(r,∞)(Ω))或‖u‖L~(s,∞)(0,T;L~(r,∞)(Ω))≤C(其中(3/r)+(2/s)=1且r∈(3,∞],C=C(r,Ω)0)下,弱解在区间0,T]上也为强解.