• français
    • English
  • English 
    • français
    • English
  • Login
JavaScript is disabled for your browser. Some features of this site may not work without it.
BIRD Home

Browse

This CollectionBy Issue DateAuthorsTitlesSubjectsJournals BIRDResearch centres & CollectionsBy Issue DateAuthorsTitlesSubjectsJournals

My Account

Login

Statistics

View Usage Statistics

Fujita Kato solution for compressible Navier-Stokes equation with axisymmetric initial data and zero Mach number limit

Thumbnail
View/Open
haspot.pdf (397.8Kb)
Date
2019
Dewey
Analyse
Sujet
Compressible Navier–Stokes equation; saxisymmetric initial data; existence of global strong solution; Mach number limit; ill prepared initial data
Journal issue
Communications in Contemporary Mathematics
Publication date
2019
DOI
http://dx.doi.org/10.1142/S021919971950041X
URI
https://basepub.dauphine.fr/handle/123456789/20650
Collections
  • CEREMADE : Publications
Metadata
Show full item record
Author
Haspot, Boris
60 CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Type
Article accepté pour publication ou publié
Abstract (EN)
In this paper we investigate the question of the existence of global strong solution for the compressible Navier Stokes equations for small initial data such that the rotational part of the velocity Pu 0 belongs to ˙ H N 2 −1. We show then an equivalence of the so called Fujita Kato theorem to the case of the compressible Navier-Stokes equation when we consider axisymmetric initial data in dimension N = 2, 3. The main difficulty is relied to the fact that in this case the velocity is not Lipschitz, in consequence we have to study carefully the coupling between the rotational and irrotational part of the velocity. In a second part, following the arguments developed in [13] we adress the question of convergence to the incompressible model (for ill-prepared initial data) when the Mach number goes to zero.

  • Accueil Bibliothèque
  • Site de l'Université Paris-Dauphine
  • Contact
SCD Paris Dauphine - Place du Maréchal de Lattre de Tassigny 75775 Paris Cedex 16

 Content on this site is licensed under a Creative Commons 2.0 France (CC BY-NC-ND 2.0) license.