Global strong solutions in Sobolev or Lebesgue spaces to the incompressible Navier-Stokes equations in R3

Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire

Volumn 13, Issue 3, 1996, Pages 319-336

  Planchon, F ^a  

^a ECOLE POLYTECHNIQUE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

NAVIER STOKES EQUATIONS;

BESOV SPACE; GLOBAL SOLUTION; INITIAL VALUE PROBLEM; SOBOLEV SPACE; STRONG SOLUTION;

PARTIAL DIFFERENTIAL EQUATIONS;

EID: 0030355621     PISSN: 02941449     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0294-1449(16)30107-X     Document Type: Article

References (16)

1. H. Beirä o da Vega Existence and Asymptotic Behaviour for Strong Solutions of the Navier-Stokes Equations in the Whole Space Indiana Univ. Math. Journal Vol. 36 1 1987 149 166
2. J. Bergh J. Löfstrom Interpolation Spaces, An Introduction 1976 Springer-Verlag
3. J.M. Bony Calcul symbolique et propagation des singularités dans les équations aux dérivées partielles non linéaires Ann. Sci. Ecole Norm. Sup. Vol. 14 1981 209 246
4. M. Cannone, Ondelettes, Paraproduits et Navier-Stokes , PhD thesis, Université Paris IX, CEREMADE F-75775 PARIS CEDEX, 1994, to be published by Diderot Editeurs (1995).
5. J.-Y. Chemin Remarques sur l’existence globale pour le système de Navier-Stokes incompressible SIAM Journal Math. Anal. Vol. 23 1992 20 28
6. p and Regularity of Weak Solutions of the Navier-Stokes System Journal of differential equations Vol. 61 1986 186 212
7. r of the Navier-Stokes Initial Value Problem Arch. Rat. Mech. Anal. Vol. 89 1985 267 281
8. n Math. Zeit. Vol. 192 1986 135 148
9. m with Applications to Weak Solutions Math. Zeit. Vol. 187 1984 471 480
10. T. Kato H. Fujita On the non-stationnary Navier-Stokes system Rend. Sem. Math. Univ. Padova Vol. 32 1962 243 260
11. T. Kato H. Fujita On the Navier-Stokes Initial Value Problem I Arch. Rat. Mech. Anal. Vol. 16 1964 269 315
12. J. Peetre New thoughts on Besov Spaces 1976 Duke Univ. Math. Series, Duke University Durham
13. J. Serrín On the Interior Regularity of Weak Solutions of the Navier-Stokes Equations Arch. Rat. Mech. Anal. Vol. 9 1962 187 195
14. E.M. Stein Singular Integral and Differentiability Properties of Functions 1970 Princeton University Press
15. M. Taylor Analysis on Morrey Spaces and Applications to Navier-Stokes and Other Evolution Equations Comm. in POE Vol. 17 1992 1407 1456
16. H. Triebel Theory of Function Spaces , volume 78 of Monographs in Mathematics 1983 Birkhausen