非均匀粘性不可压缩流体动力学方程组的解的分数微商

On Fracdonal Derivatives for the Nonhomogeneous Incompressible Navier-Stokes Equations

本文讨论非均匀粘性不可压缩流体动力学方程组的正则性，运用Ｈａｒｄｙ－Ｌｉｔｔｌｅｗｏｏｄ极大数定理证明了其弱解有不高于１／２阶的分数微商。

n this paper we consider the nonhomogeneous, viscous and incompressible Navier-Stokesequations, using the Hardy-Littlewood maximal theorem we prove that the weak solutions ofthese equations possess fractional derivatives order less than.