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

卷:390

Article

Rasheed, A.²  Belmiloudi, A.¹ 

[1] IRMAR, EUB INSA Rennes, F-35708 Rennes 7, France

[2] COMSATS Inst Informat Technol, Wah Cantt, Pakistan

关键词: Phase-field equations;    Existence;    Uniqueness;    Maximum principle;    Isothermal solidification;    Binary alloys;    Magnetohydrodynamics;    Numerical simulation;    Nickel-copper mixture;   

DOI  :  10.1016/j.jmaa.2012.01.034

来源: Elsevier

【 摘 要 】

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. (C) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

Free