Solutions of a non-classical Stefan problem with nonlinear thermal coefficients and a Robin boundary condition

被引：4

作者：

Bougoffa, Lazhar ^{[1
]}

Khanfer, Ammar ^{[1
,2
]}

机构：

[1] Imam Mohammad Ibn Saud Islam Univ, Dept Math & Stat, POB 90950, Riyadh 11623, Saudi Arabia

[2] Prince Sultan Univ, Dept Math & Gen Sci, Riyadh, Saudi Arabia

来源：

AIMS MATHEMATICS | 2021年 / 6卷 / 06期

关键词：

boundary value problem; Stefan problem; explicit solution; existence of solutions; CONDUCTIVITY;

D O I：

10.3934/math.2021387

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Solutions of similarity-type for a nonlinear non-classical Stefan problem with temperaturedependent thermal conductivity and a Robin boundary condition are obtained. The analysis of several particular cases are given when the thermal conductivity L(f) and specific heat N(f) are linear in temperature such that L(f) = alpha + delta f with N(f) = beta + gamma f. Existence of a similarity type solution also obtained for the general problem by proving the lower and upper bounds of the solution.

引用

页码：6569 / 6579

页数：11

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