Determination of unknown thermal coefficients in a non-classical Stefan problem

被引：3
|
作者：
Bollati, Julieta [1 ,2 ]
Briozzo, Adriana C. [1 ,2 ]
Natale, Maria F. [1 ]
机构：
[1] Univ Austral, Dept Matemat, FCE, Paraguay 1950, RA-2000 Rosario, Argentina
[2] Consejo Nacl Invest Cient & Tecn, Buenos Aires, DF, Argentina
来源：
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2022年 / 67卷
基金：
欧盟地平线“2020”;
关键词：
Non-classical Stefan problem; Unknown thermal coefficients; Convective boundary condition; Heat flux condition; Heat source; Inverse Stefan problem;
D O I：
10.1016/j.nonrwa.2022.103591
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study a non-classical one phase Stefan problem with a particular control function which depends on the evolution of the temperature at the fixed face x = 0 and, we assume a Neumann boundary condition and an over specified Robin condition at the fixed face. Under certain restrictions on the data an explicit similarity type solution is given. Moreover, we determine the free boundary and one unknown thermal coefficient, or two unknown thermal coefficients depending on whether the direct or inverse Stefan problem is considered. (c) 2022 Elsevier Ltd. All rights reserved.
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页数：13
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