Classical solutions to parabolic systems with free boundary of Stefan type

• Author(s): Bizhanova, G. I. ; Rodrigues, J. F.
• Date: 2004
• Persistent ID: http://hdl.handle.net/10316/11395
• Origin: Estudo Geral - Universidade de Coimbra
• Subject(s): Free boundary problem; Parabolic systems; Stefan type problems
• Document Type: Preprint
• Language: English

Description

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). FCT, POCTI/MAT/34471/2000