Convergence of capillary fluid models: from the non-local to the local Korteweg model - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Indiana University Mathematics Journal Année : 2011

Convergence of capillary fluid models: from the non-local to the local Korteweg model

Résumé

In this paper we are interested in the barotropic compressible Navier-Stokes system endowed with a non-local capillarity tensor depending on a small parameter $\ee$ such that it heuristically tends to the local Korteweg system. After giving some explanations about the capillarity (physical justification and purpose, motivations related to the theory of non-classical shocks (see \cite{Lefloch})), we prove global well-posedness (in the whole space $\R^d$ with $d\geq 2$) for the non-local model, as well as the convergence, as $\ee$ goes to zero, to the solution of the local Korteweg system.
Fichier principal
Vignette du fichier
Charve_Haspot_IUMJ.pdf (418.41 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-00778797 , version 1 (21-01-2013)

Identifiants

  • HAL Id : hal-00778797 , version 1

Citer

Frédéric Charve, Boris Haspot. Convergence of capillary fluid models: from the non-local to the local Korteweg model. Indiana University Mathematics Journal, 2011, 6, pp.2021-2060. ⟨hal-00778797⟩
117 Consultations
127 Téléchargements

Partager

Gmail Facebook X LinkedIn More