On interior regularity criteria for weak solutions of the navier-stokes equations
On interior regularity criteria for weak solutions of the navier-stokes equations
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DOI：
10.1007/bf02567922
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发表时间：
1990-12
影响因子：
0.6
通讯作者：
Shuji Takahashi
中科院分区：
文献类型：
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作者：
Shuji Takahashi
本文研究了Navier-Stokes方程弱解在可能奇点附近的行为。我们将证明，如果弱解在某个勒贝格空间中或在某个洛仑兹空间中局部小，则它不会在那里爆破。我们的基本思想是估计满足抛物型方程的涡量积分公式。
We are concerned with the behavior of weak solutions of the Navier-Stokes equations near possible singularities. We shall show that if a weak solution is in some Lebesgue space or small in some Lorentz space locally, it does not blowup there. Our basic idea is to estimate integral formulas for vorticity which satisfies parabolic equations.