Portugaliae Mathematica   EMIS ELibM Electronic Journals PORTUGALIAE
Vol. 63, No. 3, pp. 261-292 (2006)

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A semidiscretization scheme for a phase-field type model for solidification

Cristina Vaz and José Luiz Boldrini

Universidade Federal do Pará -- BRAZIL
Universidade Estadual de Campinas -- BRAZIL

Abstract: A mathematical analysis of a time discretization scheme for an initial-boundary value problem for a phase-field type model for phase transitions is presented. Convergence of the solutions of the proposed discretized scheme is proved and existence and regularity results for the original problem are derived. The long time behavior of the constructed solutions is also considered.

Keywords: phase-field; phase transitions; semidiscretization; convergence; asymptotic behavior.

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Electronic version published on: 7 Mar 2008.

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