Geodesic
About the behavior of regular Navier-Stokes solutions near the blow up
[Autour du comportement des solutions régulières de Navier-Stokes à proximité du blow up]
Poulon, Eugénie1
1 Laboratoire Jacques-Louis Lions - UMR 7598, Université Pierre et Marie Curie, Boîte courrier 187, 4 place Jussieu, 75252 Paris Cedex 05, France
Bulletin de la Société Mathématique de France, Tome 146 (2018) no. 2, pp. 355-390

Voir la notice de l'article provenant de la source Numdam

In this paper, we present some results about blow up of regular solutions to the homogeneous incompressible Navier-Stokes system, in the case of data in the Sobolev space H˙s(ℝ3), where 12<s<32· Firstly, we will introduce the notion of minimal blow up Navier-Stokes solutions and show that the set of such solutions is not only nonempty but also compact in a certain sense. Secondly, we will state an uniform blow up rate for minimal Navier-Stokes solutions. The key tool is profile theory as established by P. Gérard [11].

Reçu le :
Révisé le :
Accepté le :
Publié le :
DOI : 10.24033/bsmf.2760
Keywords: Navier-Stokes equations, blow up, profile decomposition.

Poulon, Eugénie 1

1 Laboratoire Jacques-Louis Lions - UMR 7598, Université Pierre et Marie Curie, Boîte courrier 187, 4 place Jussieu, 75252 Paris Cedex 05, France 
@article{BSMF_2018__146_2_355_0,
     author = {Poulon, Eug\'enie},
     title = {About the behavior of regular {Navier-Stokes} solutions near the blow up},
     journal = {Bulletin de la Soci\'et\'e Math\'ematique de France},
     pages = {355--390},
     publisher = {Soci\'et\'e math\'ematique de France},
     volume = {146},
     number = {2},
     year = {2018},
     doi = {10.24033/bsmf.2760},
     mrnumber = {3933879},
     zbl = {1405.35143},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.24033/bsmf.2760/}
}
TY  - JOUR
AU  - Poulon, Eugénie
TI  - About the behavior of regular Navier-Stokes solutions near the blow up
JO  - Bulletin de la Société Mathématique de France
PY  - 2018
SP  - 355
EP  - 390
VL  - 146
IS  - 2
PB  - Société mathématique de France
UR  - http://geodesic.mathdoc.fr/articles/10.24033/bsmf.2760/
DO  - 10.24033/bsmf.2760
LA  - en
ID  - BSMF_2018__146_2_355_0
ER  - 
%0 Journal Article
%A Poulon, Eugénie
%T About the behavior of regular Navier-Stokes solutions near the blow up
%J Bulletin de la Société Mathématique de France
%D 2018
%P 355-390
%V 146
%N 2
%I Société mathématique de France
%U http://geodesic.mathdoc.fr/articles/10.24033/bsmf.2760/
%R 10.24033/bsmf.2760
%G en
%F BSMF_2018__146_2_355_0
Poulon, Eugénie. About the behavior of regular Navier-Stokes solutions near the blow up. Bulletin de la Société Mathématique de France, Tome 146 (2018) no. 2, pp. 355-390. doi: 10.24033/bsmf.2760

Cité par Sources :