29 citations · 93 across the 21 of their papers we have counts for
21 papers
Explicit Discrete Solution for Some Optimization Problems and Estimations with Respect to the Exact Solution
Julieta Bollati, Mariela C. Olguin, Domingo A. Tarzia
We consider two steady-state heat conduction systems called, and , in a multidimensional bounded domain for the Poisson equation with source energy . In one system,…
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…
Relationship among solutions for three-phase change problems with Robin, Dirichlet, and Neumann boundary conditions
Julieta Bollati, María 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…
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…
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…
Approximate solutions to one-phase Stefan-like problems with space-dependent latent heat
Julieta Bollati, Domingo A. Tarzia
The work in this paper concerns the study of different approximations for one-dimensional one-phase Stefan-like problems with a space-dependent latent heat. It is considered two di…
Approximate solutions to the one-phase Stefan problem with non-linear temperature-dependent thermal conductivity
Julieta Bollati, María F. Natale, José A. Semitiel +1
In this chapter we consider different approximations for the one-dimensional one-phase Stefan problem corresponding to the fusion process of a semi-infinite material with a tempera…
Existence and uniqueness of solution for two one-phase Stefan problems with variable thermal coefficients
Julieta Bollati, María Fernanda Natale, José Abel Semitiel +1
One dimensional Stefan problems for a semi-infinite material with temperature dependent thermal coefficients are considered. Existence and uniqueness of solution are obtained impos…
Explicit Solutions for Distributed, Boundary and Distributed-Boundary Elliptic Optimal Control Problems
Julieta Bollati, Claudia M. Gariboldi, Domingo A. Tarzia
We consider a steady-state heat conduction problem in a multidimensional bounded domain Omega for the Poisson equation with constant internal energy g and mixed boundary conditions…
One-phase Stefan-like problems with a latent heat depending on the position and velocity of the free boundary, and with Neumann or Robin boundary conditions at the fixed face
Julieta Bollati, Domingo A. Tarzia
In this paper, a one-phase Stefan-type problem for a semi-infinite material which has as its main feature a variable latent heat that depends on the power of the position and the v…
Integral balance methods applied to a non-classical Stefan problem
Julieta Bollati, Maria F. Natale, Jose A. Semitiel +1
In this paper we consider two different Stefan problems for a semi-infinite material for the non classical heat equation with a source which depends on the heat flux at the fixed f…
Exact solution for a two-phase Stefan problem with variable latent heat and a convective boundary condition at the fixed face
Julieta Bollati, Domingo A. Tarzia
Recently it was obtained in [Tarzia, Thermal Sci. 21A (2017) 1-11] for the classical two-phase Lamé-Clapeyron-Stefan problem an equivalence between the temperature and convective b…
Existence and uniqueness of the p-generalized modified error function
Julieta Bollati, María Fernanda Natale, José Abel Semitiel +1
In this paper, the p-generalized modified error function is defined as the solution to a non-linear ordinary differential problem of second order with a Robin type condition at x=0…
Heat balance integral methods applied to the one-phase Stefan problem with a convective boundary condition at the fixed face
Julieta Bollati, José A. Semitiel, Domingo A. Tarzia
In this paper we consider a one-dimensional one-phase Stefan problem corresponding to the solidification process of a semi-infinite material with a convective boundary condition at…
A New Mathematical Formulation for a Phase Change Problem with a Memory Flux
Sabrina Roscani, Julieta Bollati, Domingo Tarzia
A mathematical model for a one-phase change problem (particularly a Stefan problem) with a memory flux, is obtained. The hypothesis that the weighted sum of fluxes back in time is…
Mathematical model for acid water neutralization with anomalous and fast diffusion
Andrea Ceretani, Julieta Bollati, Lorenzo Fusi +1
In this paper we model the neutralization of an acid solution in which the hydrogen ions are transported according to Cattaneo's diffusion. The latter is a modification of classica…
One-phase Stefan problem with a latent heat depending on the position of the free boundary and its rate of change
Julieta Bollati, Domingo A. Tarzia
From the one-dimensional consolidation of fine-grained soils with threshold gradient, it can be derived a special type of Stefan problems where the seepage front, due to the presen…
Explicit solution for Stefan problem with latent heat depending on the position and a convective boundary condition at the fixed face using Kummer functions
Julieta Bollati, Domingo Alberto Tarzia
An explicit solution of a similarity type is obtained for a one-phase Stefan problem in a semi-infinite material using Kummer functions. Motivated by [D.A. Tarzia, Relationship bet…