On Partial Regularity of Suitable Weak Solutions to the Three-Dimensional Navier—Stokes equations
On Partial Regularity of Suitable Weak Solutions to the Three-Dimensional Navier—Stokes equations
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DOI：
10.1007/s000210050015
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发表时间：
1999-12
影响因子：
1.3
通讯作者：
O. Ladyzhenskaya;G. Seregin
中科院分区：
文献类型：
--
作者：
O. Ladyzhenskaya;G. Seregin
证明了Navier-Stokes方程适当弱解的局部Hölder连续性准则。证明的主要部分之一，基于爆破过程，具有相当一般的性质，并且可以应用于螺线向量场空间中的其他问题。
We prove a criterion of local Hölder continuity for suitable weak solutions to the Navier—Stokes equations. One of the main part of the proof, based on a blow-up procedure, has quite general nature and can be applied to other problems in spaces of solenoidal vector fields.