An analysis of a phase-field model for isothermal binary alloy solidification with convection under the influence of magnetic field

Abstract : This paper is devoted to the study of a new phase-field model with convection under the influence of magnetic field for the isothermal solidification of binary mixtures in two-dimensional geometry. A brief description of the system governing the model is given. The existence of weak solutions as well as the regularity and uniqueness results are established under certain conditions on the nonlinearities. A maximum principle under additional assumptions are also derived. A numerical calculation is performed
Liste complète des métadonnées

https://hal.archives-ouvertes.fr/hal-00665480
Contributeur : Aziz Belmiloudi <>
Soumis le : jeudi 2 février 2012 - 09:48:20
Dernière modification le : mardi 18 décembre 2018 - 10:56:29

Lien texte intégral

Identifiants

Citation

Amer (aamir) Rasheed, Aziz Belmiloudi. An analysis of a phase-field model for isothermal binary alloy solidification with convection under the influence of magnetic field. Journal of Mathematical Analysis and Applications, Elsevier, 2012, Vol. 390 (No. 1), p. 244-273. 〈10.1016/j.jmaa.2012.01.034〉. 〈hal-00665480〉

Partager

Métriques

Consultations de la notice

436