Limiting case for the regularity criterion of the Navier-Stokes equations and the magnetoh

Limiting case for the regularity criterion of the Navier-Stokes equations and the

magnetohydrodynamic equations

佚名

【期刊名称】《中国科学》

【年(卷),期】2010(000)007

【摘要】Any weak solution u to the Navier-Stokes equations is showed to be regular under the assumption that ||u|| L 2w (0,T ;L ∞ ( R 3 )) is sufficiently small, which is a limiting case of the regularity criteria derived by Kim and Kozono. Our result gives a positive answer to the question proposed by Kim and Kozono. For the incompressible magnetohydrodynamic equations, we also show the regularity of weak solution only under the assumption that ||u|| L 2w (0,T ;L ∞ ( R 3 )) is sufficiently small.

【总页数】8页(P.1764-1771)

【关键词】Navier-Stokes;equations;magnetohydrodynamics;equations;regularity;criterion 【作者】佚名

【作者单位】;

【正文语种】英文

【中图分类】N

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