Existence and uniqueness of solution to the two-phase Stefan problem with convection - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2020

Existence and uniqueness of solution to the two-phase Stefan problem with convection

Résumé

The well posedness of the two-phase Stefan problem with convection is established in L 1. First we consider the case with a singular enthalpy and we fix the convection velocity. In the second part of the paper we study the case of a smoothed enthalpy, but the convection velocity is the solution to a Navier-Stokes equation. In the last section we give some numerical illustrations of a physical case simulated using the models studied in the paper.
Fichier principal
Vignette du fichier
VB.IC.ID arXiv.pdf (1.04 Mo) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-02615472 , version 1 (22-05-2020)

Identifiants

Citer

Viorel Barbu, Ioana Ciotir, Ionut Danaila. Existence and uniqueness of solution to the two-phase Stefan problem with convection. 2020. ⟨hal-02615472⟩
111 Consultations
205 Téléchargements

Altmetric

Partager

Gmail Mastodon Facebook X LinkedIn More