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Article Dans Une Revue Journal of Mathematical Analysis and Applications Année : 2012

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

Amer (aamir) Rasheed
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Résumé

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

Dates et versions

hal-00665480 , version 1 (02-02-2012)

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Citer

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, 2012, Vol. 390 (No. 1), p. 244-273. ⟨10.1016/j.jmaa.2012.01.034⟩. ⟨hal-00665480⟩
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