• xmlui.mirage2.page-structure.header.title
    • français
    • English
  • Help
  • Login
  • Language 
    • Français
    • English
View Item 
  •   BIRD Home
  • CEREMADE (UMR CNRS 7534)
  • CEREMADE : Publications
  • View Item
  •   BIRD Home
  • CEREMADE (UMR CNRS 7534)
  • CEREMADE : Publications
  • View Item
JavaScript is disabled for your browser. Some features of this site may not work without it.

Browse

BIRDResearch centres & CollectionsBy Issue DateAuthorsTitlesTypeThis CollectionBy Issue DateAuthorsTitlesType

My Account

LoginRegister

Statistics

Most Popular ItemsStatistics by CountryMost Popular Authors
Thumbnail

Local and global well-posedness results for density-dependent incompressible fluids

Haspot, Boris (2011), Local and global well-posedness results for density-dependent incompressible fluids. https://basepub.dauphine.fr/handle/123456789/6994

View/Open
HaspotNSI.pdf (317.4Kb)
Type
Document de travail / Working paper
Date
2011
Publisher
Karls Ruprecht Universität
Published in
Heidelberg
Pages
31
Metadata
Show full item record
Author(s)
Haspot, Boris
Abstract (EN)
This paper is dedicated to the study of the initial value problem for density dependent incompressible viscous fluids in R N with N ≥ 2. We address the question of well-posedness for large data having critical Besov regularity and we aim at stating well-posedness in functional spaces as close as possible to the ones imposed in the incompressible Navier-Stokes system by Cannone, Meyer and Planchon in [7] where u0 ∈ B N p −1 p, ∞ with 1 ≤ p < +∞ . T his im proves the analysis of [13], [14] and [2] where u0 is considered belonging to B N p −1 p, 1 with 1 ≤ p < 2 N. Our result relies on a new a priori estimate for transport equation introduced by Bahouri, Chemin and Danchin in [5] when the velocity u is not considered Lipschitz.
Subjects / Keywords
viscosity

Related items

Showing items related by title and author.

  • Thumbnail
    Well-posedness for density-dependent incompressible fluids with non-Lipschitz velocity 
    Haspot, Boris (2012) Article accepté pour publication ou publié
  • Thumbnail
    Well-posedness in critical spaces for barotropic viscous fluids 
    Haspot, Boris (2009) Document de travail / Working paper
  • Thumbnail
    Global well-posedness of the Euler-Korteweg system for small irrotational data 
    Audiard, Corentin; Haspot, Boris (2017) Article accepté pour publication ou publié
  • Thumbnail
    Well-posedness in critical spaces for the system of compressible Navier-Stokes in larger spaces 
    Haspot, Boris (2011) Article accepté pour publication ou publié
  • Thumbnail
    Fractional Keller-Segel Equation: Global Well-posedness and Finite Time Blow-up 
    Lafleche, Laurent; Salem, Samir (2018) Document de travail / Working paper
Dauphine PSL Bibliothèque logo
Place du Maréchal de Lattre de Tassigny 75775 Paris Cedex 16
Phone: 01 44 05 40 94
Contact
Dauphine PSL logoEQUIS logoCreative Commons logo