CLASSICAL SOLUTIONS TO PARABOLIC SYSTEMS WITH FREE BOUNDARY OF STEFAN TYPE

被引：0
|
作者：
Bizhanova, G. I. [1 ]
Rodrigues, J. F. [2 ,3 ]
机构：
[1] Math Inst, Alma Ata 050010, Kazakhstan
[2] Univ Lisbon, FCUL, P-1649003 Lisbon, Portugal
[3] Univ Coimbra, CMUC, P-1649003 Lisbon, Portugal
来源：
ADVANCES IN DIFFERENTIAL EQUATIONS | 2005年 / 10卷 / 12期
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D O I：
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中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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 modification of the standard change of variables method and coercive estimates in a weighted Holder 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).
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页码：1345 / 1388
页数：44
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