Approximation by an iterative method of a low Mach model with temperature dependent viscosity - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Mathematical Methods in the Applied Sciences Année : 2019

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

Résumé

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.
Fichier principal
Vignette du fichier
CCCZ-2018-05-28-HAL.pdf (507.8 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-01801242 , version 1 (28-05-2018)

Identifiants

Citer

Caterina Calgaro, Claire Colin, Emmanuel Creusé, Ezzeddine Zahrouni. Approximation by an iterative method of a low Mach model with temperature dependent viscosity. Mathematical Methods in the Applied Sciences, 2019, 42 (1), pp.250-271. ⟨10.1002/mma.5342⟩. ⟨hal-01801242⟩
201 Consultations
126 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More