Mathematical modeling of heat process in a cylindrical domain with nonlinear thermal coefficients and a heat source on the axis
Bollati J. Briozzo A.C. Kharin S.N. Nauryz T.A.
August 2025Elsevier Ltd
Nonlinear Analysis: Real World Applications
2025#84
A mathematical model of the heat process in one-dimensional domain which consists of a Stefan problem governed by a cylindrical heat equation with a heat source on the axis z=0 and nonlinear thermal coefficients is studied. The developed model is particularly applicable for analyzing temperature variations on electrical contact surfaces, where precise thermal management is crucial for ensuring optimal performance and preventing overheating. The use of similarity transformation allows us to obtain an equivalent system of nonlinear integral equations that is solved by applying a fixed point theorem, providing a rigorous mathematical foundation for our analysis.
Fixed point theorem , Heat source , Nonlinear integral equation , One-dimensional cylindrical heat equation , Stefan problem , Variable thermal coefficients
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Depto. Matemática, FCE, Univ. Austral, Paraguay 1950, Rosario, Argentina
CONICET, Buenos Aires, Argentina
Kazakh-British Technical University, Almaty, Kazakhstan
Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan
Narxoz University, Almaty, Kazakhstan
Depto. Matemática
CONICET
Kazakh-British Technical University
Institute of Mathematics and Mathematical Modeling
Narxoz University
10 лет помогаем публиковать статьи Международный издатель
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