Julieta Bollati , Adriana C. Briozzo , Stanislav N. Kharin , Targyn A. Nauryz
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引用次数: 0
Abstract
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 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.
期刊介绍：
Nonlinear Analysis: Real World Applications welcomes all research articles of the highest quality with special emphasis on applying techniques of nonlinear analysis to model and to treat nonlinear phenomena with which nature confronts us. Coverage of applications includes any branch of science and technology such as solid and fluid mechanics, material science, mathematical biology and chemistry, control theory, and inverse problems.
The aim of Nonlinear Analysis: Real World Applications is to publish articles which are predominantly devoted to employing methods and techniques from analysis, including partial differential equations, functional analysis, dynamical systems and evolution equations, calculus of variations, and bifurcations theory.
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