[Autour du comportement des solutions régulières de Navier-Stokes à proximité du blow up]
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 , where 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].
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DOI : 10.24033/bsmf.2760
Poulon, Eugénie 1
@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},
year = {2018},
publisher = {Soci\'et\'e math\'ematique de France},
volume = {146},
number = {2},
doi = {10.24033/bsmf.2760},
mrnumber = {3933879},
zbl = {1405.35143},
language = {en},
url = {https://www.numdam.org/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 - https://www.numdam.org/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 https://www.numdam.org/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
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