Titre :

Approximation by an iterative method of a low Mach model with temperature dependent viscosity

Auteur(s) :

Calgaro, Caterina [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Reliable numerical approximations of dissipative systems [RAPSODI]
Colin, Claire [Auteur]
Reliable numerical approximations of dissipative systems [RAPSODI]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Creusé, Emmanuel [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Reliable numerical approximations of dissipative systems [RAPSODI]
Zahrouni, Ezzeddine [Auteur]
Faculté des Sciences Economiques et de Gestion [FSEGN]
Département de Mathématiques [Monastir]

Titre de la revue :

Mathematical Methods in the Applied Sciences

Pagination :

250-271

Éditeur :

Wiley

Date de publication :

2019

ISSN :

0170-4214

Discipline(s) HAL :

Mathématiques [math]/Analyse numérique [math.NA]
Mathématiques [math]/Equations aux dérivées partielles [math.AP]

Résumé en anglais : [en]

In this work, we prove the existence and the uniqueness of the strong solution of a low-Mach model, for which the dynamic viscosity of the fluid is a given function of its temperature. The method is based on the convergence ...
Lire la suite >In this work, we prove the existence and the uniqueness of the strong solution of a low-Mach model, for which the dynamic viscosity of the fluid is a given function of its temperature. The method is based on the convergence study of a sequence towards the solution, for which the rates are also given. The originality of the approach is to consider the system in terms of the temperature and the velocity, leading to a non-linear temperature equation and the development of some specific tools and results.Lire moins >

Langue :

Anglais

Comité de lecture :

Oui

Audience :

Internationale

Vulgarisation :

Non

Projet ANR :

Centre Européen pour les Mathématiques, la Physique et leurs Interactions

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL