Bounds for the subsistence of a problem of heat conduction



Document title: Bounds for the subsistence of a problem of heat conduction
Journal: Computational & applied mathematics
Database: PERIÓDICA
System number: 000310632
ISSN: 0101-8205
Authors: 1
Institutions: 1Universidad Nacional de Córdoba, Córdoba. Argentina
Year:
Volumen: 22
Number: 2
Pages: 195-207
Country: Brasil
Language: Inglés
Document type: Artículo
Approach: Experimental, analítico
English abstract In this paper, we consider a slab represented by the interval 0 < x < 1, at the initial temperature u0(x) > 0 and having a heat flux q(t) on the left face and a nonlinear condition on the right face x = 1. We consider the corresponding heat conduction problem and we assume that the phase-change temperature is 0&ordm;C. We prove that certain conditions on the data are necessary and sufficient in order to obtain estimations of the occurrence of a phase-change in the material
Disciplines: Física y astronomía,
Matemáticas
Keyword: Termodinámica y física estadística,
Conducción de calor,
Cambio de fase
Keyword: Physics and astronomy,
Mathematics,
Thermodynamics and statistical physics,
Phase change,
Heat conduction
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