29 citations · 45 across the 12 of their papers we have counts for
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Hybrid Ermakov-Ray-Reid/Painlevé II Symmetry Reduction: Application to a Class of Moving Boundary Problems
Colin Rogers, Adriana C. Briozzo
Here, a class of nonlinear moving boundary problems for a novel extension of a two-component mKdV system is shown to admit exact solution via application of a hybrid Ermakov-Ray-Re…
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 , where and are coefficients that depend on u. By applying the classical Lie symmetry meth…
Moving boundary problems for a novel extended mKdV equation. Application of Ermakov-Painlevé II symmetry reduction
Colin Rogers, Adriana C. Briozzo
A novel extension of the canonical solitonic mKdV equation is introduced which admits hybrid Ermakov-Painlevé II symmetry reduction. Application of the latter is made to obtain exa…
Moving boundary problems with Ermakov symmetry reduction: nonlinear superposition principle and reciprocal transformation applications
Colin Rogers, Adriana C. Briozzo
Moving boundary problems of Stefan-type for a novel third order nonlinear evolution equation with temporal modulation are here shown to be amenable to exact Airy-type solution via…
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…
Free boundary problem governed by a non-linear diffusion-convection equation with Neumann condition
Adriana C. Briozzo
We consider a one-dimensional free boundary problem governed by a nonlinear diffusion - convection equation with a Neumann condition at fixed face , which is variable in time…
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…
A Class of Moving Boundary Problems with a Source Term. Application of a Reciprocal Transformation
Adriana C. Briozzo, Colin Rogers, Domingo A. Tarzia
We consider a new Stefan-type problem for the classical heat equation with a latent heat and phase-change temperature depending of the variable time. We prove the equivalence of th…
Stefan problems for the diffusion-convection equation with temperature-dependent thermal coefficients
Julieta Bollati, Adriana C. Briozzo
Different one-phase Stefan problems for a semi-infinite slab are considered, involving a moving phase change material as well as temperature dependent thermal coefficients. Existen…
A free boundary problem for a diffusion-convection equation
Adriana C. Briozzo, Domingo A. Tarzia
One-dimensional free boundary problem for a nonlinear diffusion - convection equation with a Dirichlet condition at fixed face , variable in time, is considered. Throught seve…