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https://hdl.handle.net/10316/11395
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). | URI: | https://hdl.handle.net/10316/11395 | Rights: | openAccess |
Appears in Collections: | FCTUC Matemática - Artigos em Revistas Nacionais |
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Classical solutions to parabolic systems with free boundary.pdf | 309.79 kB | Adobe PDF | View/Open |
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