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math.AP2026
Lie symmetry analysis of the nonlinear generalized heat equation for varying cross-section geometry
Targyn A. Nauryz
We study the nonlinear generalized heat equation , where and are temperature-dependent thermal coefficients and $ν>…
math.AP2025
Inverse Stefan problems of determining the time-dependent source coefficient and heat flux function
Targyn A. Nauryz, Khumoyun Jabbarkhanov
This paper delves into the Inverse Stefan problem, specifically focusing on determining the time-dependent source coefficient in the parabolic heat equation governing heat transfer…
math.AP2024
Mathematical modelling of heat transfer in closed electrical contacts and electrical potential field dynamics with Thomson effect
Targyn A. Nauryz, Stanislav N. Kharin, Adriana C. Briozzo +1
In this study we develop a mathematical model that describe the behavior of electromagnetic fields and heat transfer in closed electrical contacts that arises when instantaneous ex…