Aller au contenu  Aller au menu  Aller à la recherche

Bienvenue - Laboratoire Jacques-Louis Lions

Print this page |
Stages (3eme / seconde)
Stages de découverte (classe de 3eme, 2nde) Voir https://www.math.univ-paris-diderot.fr/diffusion/index

Chiffres-clé

Chiffres clefs

189 personnes travaillent au LJLL

90 permanents

82 chercheurs et enseignants-chercheurs permanents

8 ingénieurs, techniciens et personnels administratifs

99 personnels non permanents

73 doctorants

14 post-doc et ATER

12 émérites et collaborateurs bénévoles

 

Chiffres mars 2019

 

Séminaire du LJLL - 16 06 2017 14h00 : Y. Maekawa

Yasunori Maekawa (Université de Kyoto)

On the stability of the physically reasonable solution to the two-dimensional Navier-Stokes equations

Résumé
The flow past an obstacle is a fundamental object in fluid mechanics. In 1967 R. Finn and D.R. Smith proved the existence and uniqueness of a stationary solution that they called "the physically reasonable solution" to the Navier-Stokes equations in a two-dimensional exterior domain modeling this type of flows, when the Reynolds number is sufficiently small. The asymptotic behavior of this solution at infinity in space has been studied in details and is well understood by now, while its stability remained an open problem due to difficulties specific to the two-dimensionality.
In this talk we show that the physically reasonable solution constructed by Finn and Smith is asymptotically stable with respect to small and well-localized initial perturbations.