Non-classical Stefan problem with nonlinear thermal coefficients and a Robin boundary condition<bold> </bold>

被引：11
|
作者：
Briozzo, Adriana C. [1 ,2 ]
Fernanda Natale, Maria [2 ]
机构：
[1] Consejo Nacl Invest Cient & Tecn, Buenos Aires, DF, Argentina
[2] Univ Austral, Dept Matemat, FCE, Paraguay 1950,S2000FZF, Rosario, Santa Fe, Argentina
来源：
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2019年 / 49卷
关键词：
Stefan problem; Nonlinear thermal coefficient; Nonlinear integral equations; Non-classical heat equation; Convective boundary condition; Similarity solution<bold>; </bold>; HEAT-EQUATION; CONDUCTION;
D O I：
10.1016/j.nonrwa.2019.03.002
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A non-classical one dimensional Stefan problem with thermal coefficients temperature dependent and a Robin type condition at fixed face x = 0 for a semi-infinite material is considered. The source function depends on the evolution the heat flux at the fixed face x = 0. Existence of a similarity type solution is obtained and the asymptotic behaviour of free boundary with respect to latent heat fusion is studied. The analysis of several particular cases are given. (C) 2019 Elsevier Ltd. All rights reserved.
引用
收藏
页码：159 / 168
页数：10
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