On possible singular solutions to the Navier-Stokes equations

Mathematische Nachrichten

Volumn 199, Issue , 1999, Pages 97-114

  Málek, Josef ^a   Nečas, Jindřich ^a,b   Pokorný, Milan ^c   Schonbek, Maria E ^d  

^a CHARLES UNIVERSITY   (Czech Republic)

^b NORTHERN ILLINOIS UNIVERSITY   (United States)

^c PALACKÝ UNIVERSITY   (Czech Republic)

^d UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Navier stokes equations; Pseudo selfsimilar; Regularity; Selfsimilar; Singular solution

Indexed keywords

EID: 0040111702     PISSN: 0025584X     EISSN: None     Source Type: Journal    
DOI: 10.1002/mana.19991990106     Document Type: Article

References (6)

1. AGMON, S.: Lectures On Elliptic Boundary Value Problems, Mathematical Studies Van Noustrand, New York, 1965
2. CANNONE, M.: Ondelettes, Paraproduits et Navier - Stokes, Diderot Editeur, Arts et Sciences, Paris, New York, Amsterdam, 1995
3. GILBARG D., and TRUDINGER, N. S.: Elliptic Partial Differential Equations of Second Order, Springer-Verlag, Berlin, Heidelberg, New York, 1977
4. LERAY, J.: Sur le Mouvement d'un Liquide Visqueux Emplissant l'Espace, Acta Math 63(1934), 193-248
5. NEČAS, J., RÜŽIČKA, M., and ŠVERÁK, V.: On Self - Similar Solutions of the Navier -Stokes Equations, Acta Math. 176 (1996), 283-294
6. STEIN, E. M.: Singular Integrals and Differentiability Properties of Functions, Princeton University Press, 1970