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Title: Classical solutions to parabolic systems with free boundary of Stefan type
Authors: Bizhanova, G. I. 
Rodrigues, J. F. 
Keywords: Free boundary problem; Parabolic systems; Stefan type problems
Issue Date: 2004
Publisher: Centro de Matemática da Universidade de Coimbra
Citation: Pré-Publicações DMUC. 04-43 (2004)
Abstract: Motivated by the classical model for the binary alloy solidification (crystallization) problem, we show the local in time existence and uniqueness of solutions to a parabolic system strongly coupled through free boundary conditions of Stefan type. Using a modi¯cation of the standard change of variables method and coercive estimates in a weighted HÄolder space (the weight being a power of t) we obtain solutions with maximal global regularity (having at least equal regularity for t > 0 as at the initial moment).
Rights: openAccess
Appears in Collections:FCTUC Matemática - Artigos em Revistas Nacionais

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