On the global wellposedness of the 3-D Navier–Stokes equations with large initial data
Jean-Yves Chemin; Isabelle Gallagher
Annales scientifiques de l'École Normale Supérieure (2006)
- Volume: 39, Issue: 4, page 679-698
- ISSN: 0012-9593
Access Full Article
topHow to cite
topChemin, Jean-Yves, and Gallagher, Isabelle. "On the global wellposedness of the 3-D Navier–Stokes equations with large initial data." Annales scientifiques de l'École Normale Supérieure 39.4 (2006): 679-698. <http://eudml.org/doc/82698>.
@article{Chemin2006,
author = {Chemin, Jean-Yves, Gallagher, Isabelle},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {global solutions; Besov spaces; global-in-time well-posedness; incompressible Navier-Stokes equations},
language = {eng},
number = {4},
pages = {679-698},
publisher = {Elsevier},
title = {On the global wellposedness of the 3-D Navier–Stokes equations with large initial data},
url = {http://eudml.org/doc/82698},
volume = {39},
year = {2006},
}
TY - JOUR
AU - Chemin, Jean-Yves
AU - Gallagher, Isabelle
TI - On the global wellposedness of the 3-D Navier–Stokes equations with large initial data
JO - Annales scientifiques de l'École Normale Supérieure
PY - 2006
PB - Elsevier
VL - 39
IS - 4
SP - 679
EP - 698
LA - eng
KW - global solutions; Besov spaces; global-in-time well-posedness; incompressible Navier-Stokes equations
UR - http://eudml.org/doc/82698
ER -
References
top- [1] Babin A., Mahalov A., Nicolaenko B., Global solvability of three-dimensional Navier–Stokes equations with uniformly high initial vorticity, Uspekhi Mat. Nauk58 (2003) 79-110, (in Russian, Russian summary); translation in:, Russian Math. Surveys58 (2003) 287-318. Zbl1059.35099MR1992565
- [2] Cannone M., Meyer Y., Planchon F., Solutions autosimilaires des équations de Navier–Stokes, Séminaire “Équations aux Dérivées Partielles” de l'École polytechnique, Exposé VIII, 1993. Zbl0882.35090
- [3] Chemin J.-Y., Remarques sur l'existence pour le système de Navier–Stokes incompressible, SIAM Journal of Mathematical Analysis23 (1992) 20-28. Zbl0762.35063MR1145160
- [4] Chemin J.-Y., Théorèmes d'unicité pour le système de Navier–Stokes tridimensionnel, Journal d'Analyse Mathématique77 (1999) 27-50. Zbl0938.35125MR1753481
- [5] Chemin J.-Y., Desjardins B., Gallagher I., Grenier E., Mathematical Geophysics, An Introduction to Rotating Fluids and the Navier–Stokes Equations, Oxford Lecture Series in Mathematics and its Applications, vol. 32, 2006. Zbl1205.86001MR2228849
- [6] Fujita H., Kato T., On the Navier–Stokes initial value problem I, Archive for Rational Mechanics and Analysis16 (1964) 269-315. Zbl0126.42301MR166499
- [7] Furioli G., Lemarié P.-G., Terraneo E., Unicité des solutions mild des équations de Navier–Stokes dans et d’autres espaces limites, Revista Matematica Iberoamericana.16 (2000) 605-667. Zbl0970.35101MR1813331
- [8] Gallagher I., The tridimensional Navier–Stokes equations with almost bidimensional data: stability, uniqueness and life span, International Mathematical Research Notices18 (1997) 919-935. Zbl0893.35098MR1481611
- [9] Iftimie D., The 3D Navier–Stokes equations seen as a perturbation of the 2D Navier–Stokes equations, Bulletin de la Société Mathématique de France127 (1999) 473-517. Zbl0946.35059MR1765551
- [10] Koch H., Tataru D., Well-posedness for the Navier–Stokes equations, Advances in Mathematics157 (2001) 22-35. Zbl0972.35084MR1808843
- [11] Leray J., Essai sur le mouvement d'un liquide visqueux emplissant l'espace, Acta Matematica63 (1933) 193-248. Zbl59.0763.02JFM60.0726.05
- [12] Leray J., Étude de diverses équations intégrales non linéaires et de quelques problèmes que pose l'hydrodynamique, Journal de Mathématiques Pures et Appliquées12 (1933) 1-82. Zbl0006.16702
- [13] Raugel G., Sell G.R., Navier–Stokes equations on thin 3D domains. I. Global attractors and global regularity of solutions, Journal of the American Mathematical Society6 (1993) 503-568. Zbl0787.34039MR1179539
Citations in EuDML Documents
topNotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.