The asymptotic behavior for the one-phase Stefan problem with a convective boundary condition

被引：4
|
作者：
Tarzia, DA [1 ]
Turner, CV [1 ]
机构：
[1] NATL UNIV CORDOBA,FAMAF,RA-5016 CORDOBA,ARGENTINA
来源：
APPLIED MATHEMATICS LETTERS | 1996年 / 9卷 / 03期
关键词：
one-phase Stefan problem; phase change process; asymptotic behavior; melting; free boundary problem;
D O I：
10.1016/0893-9659(96)00025-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the one-phase Stefan problem with a convective boundary condition at the fixed face, given by the temperature of the external fluid (G(t)) depending on time. We study the asymptotic behavior of the corresponding free boundary sg(t) when the time goes to infinity and we obtain lim(t-->infinity) (s(beta)(t)/root 2 integral(0)(t)G(tau)d tau) = 1 for all heat transfer coefficients beta > 0.
引用
收藏
页码：21 / 24
页数：4
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