A REMARK ON THE PARTIAL REGULARITY OF A SUITABLE WEAK SOLUTION TO THE NAVIER-STOKES CAUCHY PROBLEM

被引：4

作者：

Crispo, Francesca ^{[1
]}

Maremonti, Paolo ^{[1
]}

机构：

[1] Seconda Univ Napoli, Dipartimento Matemat & Fis, Via Vivaldi 43, I-81100 Caserta, Italy

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2017年 / 37卷 / 03期

关键词：

Navier-Stokes equations; suitable weak solutions; partial regularity; EQUATIONS; PROOF;

D O I：

10.3934/dcds.2017053

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Starting from the partial regularity results for suitable weak solutions to the Navier-Stokes Cauchy problem by Caffarelli, Kohn and Nirenberg [1], as a corollary, under suitable assumptions of local character on the initial data, we investigate the behavior in time of the L-loc(infinity)-norm of the solution in a neighborhood of t = 0. The behavior is the same as for the resolvent operator associated to the Stokes operator.

引用

页码：1283 / 1294

页数：12

共 17 条

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