Vol. 63, No. 3, pp. 261-292 (2006)
A semidiscretization scheme for a phase-field type model for solidification
Cristina Vaz and José Luiz BoldriniUniversidade 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.