9 citations · 11 across the 9 of their papers we have counts for
6 papers · 1 filter
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 …
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…
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…
Mathematical model of thermal phenomena of closure electrical contact with Joule heat source and nonlinear thermal coefficients
Julieta Bollati, Adriana C. Briozzo, Stanislav N. Kharin +1
The mathematical model describing the dynamics of closed contact heating which involves vaporization of the metal when instantaneous explosion of micro-asperity occurs is presented…
Mathematical modeling of heat process in a cylindrical domain with nonlinear thermal coefficients and a heat source on the axis
Julieta Bollati, Adriana C. Briozzo, Stanislav N. Kharin +1
A mathematical model of the heat process in one-dimensional domain governed by a cylindrical heat equation with a heat source on the axis and nonlinear thermal coefficients i…
Nonlinear Stefan Problem for one-phase generalized heat equation with heat flux and convective boundary condition
T. A. Nauryz
In this article we consider a mathematical model of an initial stage of closure electrical contact that involves a metallic vaporization after instantaneous exploding of contact du…