On possible singular solutions to the Navier-Stokes equations

被引：8

作者：

Málek, J

Necas, J

Pokorny, M

Schonbek, ME

机构：

[1] Charles Univ, Math Inst, Prague 18675, Czech Republic

[2] No Illinois Univ, Dept Math Sci, De Kalb, IL 60115 USA

[3] Univ Calif Santa Cruz, Dept Math, Santa Cruz, CA 95064 USA

[4] Palacky Univ, Dept Math Anal & Numer Math, Olomouc 77200, Czech Republic

来源：

MATHEMATISCHE NACHRICHTEN | 1999年 / 199卷

关键词：

Navier-Stokes equations; singular solution; selfsimilar; pseudo-selfsimilar; regularity;

D O I：

10.1002/mana.19991990106

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we exclude the possibility of existence of a singular solution of the selfsimilar type proposed by JEAN LERAY. More precisely, using a slightly stronger hypothesis we give a simpler proof to the analogous result established by J. NECAS, M. RUZICKA and V. SVERAK. We also discuss the possible existence of a singular solution of pseudo-selfsimilar type.

引用

页码：97 / 114

页数：18