22 citations · 253 across the 65 of their papers we have counts for
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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…
Convergence of simultaneous distributed-boundary parabolic optimal control problems
Domingo A. Tarzia, Carolina M. Bollo, Claudia M. Gariboldi
We consider a heat conduction problem with mixed boundary conditions in a n-dimensional domain with regular boundary and a family of problems , where the parameter…
Auxiliary functions in the study of Stefan-like problems with variable thermal properties
Andrea N. Ceretani, Natalia N. Salva, Domingo A. Tarzia
We address the existence and uniqueness of the so-called modified error function that arises in the study of phase-change problems with specific heat and thermal conductivity given…
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…
A Heat Conduction Problem with Sources Depending on the Average of the Heat Flux on the Boundary
Mahdi Boukrouche, Domingo A. Tarzia
Motivated by the modeling of temperature regulation in some mediums, we consider the non-classical heat conduction equation in the domain $D=\mathbb{R}^{n-1}\times\br^{+}$ for whic…
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…