On the space-time regularity of C(0, T; Ln) -: very weak solutions to the Navier-Stokes equations

被引：7
作者：
Berselli, LC
Galdi, GP
机构：
[1] Univ Pisa, Dipartimento Matemat U Dini, I-56126 Pisa, Italy
[2] Univ Pittsburgh, Dept Mech Engn, Pittsburgh, PA 15260 USA
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2004年 / 58卷 / 5-6期
关键词：
Navier-Stokes equations; very weak solutions; regularity;
D O I：
10.1016/j.na.2004.05.013
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider the initial-boundary value problem for the Navier-Stokes equations in a domain Omega subset of or equal to R-n. We prove the space-time regularity of very weak solutions belonging to C(0, T; L-n(Omega)). In particular, we prove regularity for a class of solutions that are possibly not weak solutions in the sense of Leray-Hopf, (C) 2004 Elsevier Ltd. All rights reserved.
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页码：703 / 717
页数：15
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