4 papers · 1 filter
Lie symmetry method for a nonlinear heat-diffusion equation
Julieta Bollati, Ernesto A. Borrego Rodriguez, Adriana C. Briozzo
We investigate the nonlinear heat-diffusion equation \( C(u)\,\frac{\partial u}{\partial t} = \frac{\partial}{\partial x}\!\left( K(u)\,\frac{\partial u}{\partial x} \right) \), wh…
Relationship among solutions for three-phase change problems with Robin, Dirichlet, and Neumann boundary conditions
Julieta Bollati, MarÃa Fernanda Natale, José Abel Semitiel +1
This study investigates the melting process of a three-phase Stefan problem in a semi-infinite material, imposing a convective boundary condition at the fixed face. By employing a…
A class of moving boundary problems with an exponential source term
Julieta Bollati, Ernesto A. Borrego Rodriguez, Adriana C. Briozzo +1
This work investigates a class of moving boundary problems related to a nonlinear evolution equation featuring an exponential source term. We establish a connection to Stefan-type…
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…