22 citations · 253 across the 65 of their papers we have counts for
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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 new penalty method for elliptic quasivariational inequalities
Piotr Bartman-Szwarc, Anna Ochal, Mircea Sofonea +1
We consider a class of elliptic quasivariational inequalities in a reflexive Banach space for which we recall a convergence criterion obtained in [10]. Each inequality …
A class of elliptic mixed boundary value problems with -Laplacian: existence, comparison and optimal control
Shengda Zeng, Stanislaw Migorski, Domingo A. Tarzia +2
The paper deals with two nonlinear elliptic equations with -Laplacian and the Dirichlet-Neumann-Dirichlet (DND) boundary conditions, and Dirich\-let-Neu\-mann-Neumann (DNN)…
A Convergence Criterion for Elliptic Variational Inequalities
Claudia Gariboldi, Anna Ochal, Mircea Sofonea +1
We consider an elliptic variational inequality with unilateral constraints in a Hilbert space which, under appropriate assumptions on the data, has a unique solution . We fo…
Explicit solutions related to the Rubinstein binary-alloy solidification problem with a heat flux or a convective condition at the fixed face
Lucas D. Venturato, Mariela B. Cirelli, Domingo A. Tarzia
Similarity solutions for the two-phase Rubinstein binary-alloy solidification problem in a semi-infinite material are developed. These new explicit solutions are obtained by consid…
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…
Explicit solution for non-classical one-phase Stefan problem with variable thermal coefficients and two different heat source terms
Julieta Bollati, María F. Natale, José A. Semitiel +1
A one-phase Stefan problem for a semi-infinite material is investigated for special functional forms of the thermal conductivity and specific heat depending on the temperature of t…
Heat transfer process with solid-solid interface: Analytical and numerical solutions
Diana Rubio, Domingo A. Tarzia, Guillermo F. Umbricht
This work is aimed at the study and analysis of the heat transport on a metal bar of length with a solid-solid interface. The process is assumed to be developed along one direc…
Existence, comparison, and convergence results for a class of elliptic hemivariational inequalities
Claudia M. Gariboldi, Stanisław Migórski, Anna Ochal +1
In this paper we study a class of elliptic boundary hemivariational inequalities which originates in the steady-state heat conduction problem with nonmonotone multivalued subdiffer…
Estimation of a Thermal Conductivity in a Stationary Heat Transfer Problem with a Solid-Solid Interface
Guillermo Federico Umbricht, Diana Rubio, Domingo Alberto Tarzia
An inverse problem for a stationary heat transfer process is studied for a totally isolated bar on its lateral surface, made up of two consecutive sections of different, isotropic…
About the Convergence of a Family of Initial Boundary Value Problems for a Fractional Diffusion Equation with Robin Conditions
Isolda Cardoso, Sabrina D. Roscani, Domingo A. Tarzia
We consider a family of initial boundary value problems governed by a fractional diffusion equation with Caputo derivative in time, where the parameter is the Newton heat transfer…
Estimation Technique for a Contact Point Between two Materials in a Stationary Heat Transfer Problem
Guillermo Federico Umbricht, Diana Rubio, Domingo Alberto Tarzia
An inverse problem for a stationary heat transfer process is studied for a totally isolated bar on its lateral surface, of negligible diameter, made up of two consecutive sections…
Tykhonov Well-posedness of a Heat Transfer Problem with Unilateral Constraints
Mircea Sofonea, Domingo A. Tarzia
We consider an elliptic boundary value problem with unilateral constraints and subdifferential boundary conditions. The problem describes the heat transfer in a domain $D\subset\R^…
The similarity method and explicit solutions for the fractional space one-phase Stefan problems
S. D. Roscani, D. A. Tarzia, L. Venturato
In this paper we obtain self-similarity solutions for a one-phase one-dimensional fractional space one-phase Stefan problem in terms of the three parametric Mittag-Leffer function…
Optimal control of differential quasivariational inequalities with applications in contact mechanics
Mircea Sofonea, Julieta Bollati, Domingo A. Tarzia
We consider a differential quasivariational inequality for which we state and prove the continuous dependence of the solution with respect to the data. This convergence result allo…
On the Tykhonov Well-posedness of an Antiplane Shear Problem
Mircea Sofonea, Domingo A. Tarzia
We consider a boundary value problem which describes the frictional antiplane shear of an elastic body. The process is static and friction is modeled with a slip-dependent version…
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…
Explicit Solutions to Fractional Stefan-like problems for Caputo and Riemann-Liouville Derivatives
Sabrina Roscani, Nahuel Caruso, Domingo Tarzia
Two fractional two-phase Stefan-like problems are considered by using Riemann-Liouville and Caputo derivatives of order verifying that they coincide with the same cla…
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…
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…
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…
Global Solution to a Nonlinear Fractional Differential Equation for the Caputo-Fabrizio Derivative
Sabrina Roscani, Domingo Tarzia, Lucas Venturato
This paper deals with the fractional Caputo--Fabrizio derivative and some basic properties related. A computation of this fractional derivative to power functions is given in terms…
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…
Explicit solution for a two--phase fractional Stefan problem with a heat flux condition at the fixed face
Sabrina Roscani, Domingo Tarzia
A generalized Neumann solution for the two-phase fractional Lamé--Clapeyron--Stefan problem for a semi--infinite material with constant initial temperature and a particular heat fl…