On possible singular solutions to the Navier-Stokes equations

Authors
Malek, J Necas, J Pokorny, M Schonbek, ME
Citation
J. Malek et al., On possible singular solutions to the Navier-Stokes equations, MATH NACHR, 199, 1999, pp. 97-114
Citations number
6
Categorie Soggetti
Mathematics
Journal title
MATHEMATISCHE NACHRICHTEN
ISSN journal
0025584X → ACNP
Volume
199
Year of publication
1999
Pages
97 - 114
Database
ISI
SICI code
0025-584X(1999)199:<97:OPSSTT>2.0.ZU;2-V
Abstract
In this paper, we exclude the possibility of existence of a singular soluti on of the selfsimilar type proposed by JEAN LERAY. More precisely, using a slightly stronger hypothesis we give a simpler proof to the analogous resul t established by J. NECAS, M. RUZICKA and V. SVERAK. We also discuss the po ssible existence of a singular solution of pseudo-selfsimilar type.