Andrea N. Ceretani

Andrea N. Ceretani
Universidad de Buenos Aires | UBA · Mathematics Department (FCE)

PhD

About

27
Publications
5,384
Reads
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153
Citations
Citations since 2016
19 Research Items
153 Citations
201620172018201920202021202205101520253035
201620172018201920202021202205101520253035
201620172018201920202021202205101520253035
201620172018201920202021202205101520253035
Additional affiliations
March 2019 - present
National University of San Martín
Position
  • Professor (Associate)
August 2018 - December 2018
Weierstrass Institute for Applied Analysis and Stochastics
Position
  • Researcher
Description
  • Guest at the research group "Nonsmooth Variational Problems and Operator Equations" headed by Michael Hintermueller.
October 2017 - December 2018
Humboldt-Universität zu Berlin
Position
  • Research Assistant
Education
March 2010 - March 2016
Rosario National University
Field of study
  • Mathematics
March 2001 - March 2007
Rosario National University
Field of study
  • Mathematics
March 2001 - March 2010
Rosario National University
Field of study
  • Mathematics

Publications

Publications (27)
Article
Full-text available
We study a Boussinesq system in a bounded domain with an outlet boundary portion where fluid can leave or re-enter. On this boundary part, we consider a do-nothing condition for the fluid flow, and a new artificial condition for the heat transfer that couples nonlinearly the fluid velocity and temperature. The latter can be further adjusted if conv...
Article
Full-text available
We review some fractional free boundary problems that were recently considered for modeling anomalous phase-transitions. All problems are of Stefan type and involve fractional derivatives in time according to Caputo's definition. We survey the assumptions from which they are obtained and observe that the problems are nonequivalent though all of the...
Article
Full-text available
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 by linear functions of the material temperature. This function is defined from a differential problem that depends on two parameters which are closely related with the s...
Preprint
Full-text available
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 by linear functions of the material temperature. This function is defined from a differential problem that depends on two parameters which are closely related with the s...
Preprint
We study a Boussinesq system in a bounded domain with an outlet boundary portion where fluid can leave or re-enter. On this boundary part, we consider a do-nothing condition for the fluid flow, and a new artificial condition for the heat transfer that couples nonlinearly the fluid velocity and temperature. The latter can be further adjusted if conv...
Conference Paper
Full-text available
We address the steady state of a non-isothermal fluid in a heated room which posseses an aperture that allows the fluid to leave and to re-enter without any restriction. The fluid behaviour inside the room is presumed to be given by the stationary Boussinesq equations, and the fluid flow at the aperture is assumed to satisfy a classical do-nothing...
Article
Full-text available
A stationary Boussinesq system for an incompressible viscous fluid in a bounded domain with a nontrivial condition at an open boundary is studied. The problem is motivated by modeling energy systems in rooms that possess an outlet where the fluid can freely flows, known as an ``open boundary". Numerical and experimental investigations available fro...
Article
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 classical Fickian diffusion in which the flux adjusts to the gradient with a positive relaxation time. Accordingly the evolution of the ions concentration is governed by the hype...
Preprint
We review some fractional free boundary problems that were recently considered for modeling anomalous phase-transitions. All problems are of Stefan type and involve fractional derivatives in time according to Caputo's definition. We survey the assumptions from which they are obtained and observe that the problems are nonequivalent though all of the...
Article
Full-text available
In this article, we obtain explicit approximations of the modified error function introduced in Cho, Sunderland. Journal of Heat Transfer 96-2 (1974), 214-217, as part of a Stefan problem with a temperature-dependent thermal conductivity. This function depends on a parameter δ, which is related to the thermal conductivity in the original phase-chan...
Article
Full-text available
A two-phase solidification process for a one-dimensional semi-infinite material is considered. It is assumed that it is ensued from a constant bulk temperature present in the vicinity of the fixed boundary, which it is modelled through a convective condition (Robin condition). The interface between the two phases is idealized as a mushy region and...
Article
Full-text available
In this article it is proved the existence of similarity solutions for a one-phase Stefan problem with temperature-dependent thermal conductivity and a Robin condition at the fixed face. The temperature distribution is obtained through a generalized modified error function which is defined as the solution to a nonlinear ordinary differential proble...
Conference Paper
Full-text available
Resumen: La función de error modificada, dependiente de un parámetro conocido δ ≥ −1, definida por Cho y Sunderland en J. Heat Trasfer, 96C(1974), 214-217, fue utilizada para resolver numerosos problemas de cambio de fase. En este trabajo se presenta una representación de la función de error modificada como una serie de potencias en el parámetro δ...
Conference Paper
Full-text available
Resumen: En este trabajo se considera un problema de solidificación a dos fases para un material unidimensional semi-infinito. Se supone que el proceso de cambio de fase se inicia a partir de la presencia de una temperatura constante en las cercanías de la frontera fija, lo cual se modela con una condición convectiva (condición de Robin). La interf...
Conference Paper
Full-text available
Resumen: En este trabajo se considera un material de cambio de fase unidimensional semi-infinito con coeficientes térmicos constantes entre los cuales son desconocidos simultáneamente el calor específico y la conductividad térmica. Con el objetivo de determinar estos coeficientes, se supone que el material se encuentra bajo un proceso de fusión con...
Article
Full-text available
We consider a semi-infinite one-dimensional phase-change material with two unknown constant thermal coefficients among the latent heat per unit mass, the specific heat, the mass density and the thermal conductivity. Aiming at the determination of them, we consider an inverse one-phase Stefan problem with an over-specified condition at the fixed bou...
Article
This article is devoted to prove the existence and uniqueness of solution to the non-linear second order differential problem through which is defined the modified error function introduced in Cho-Sunderland, J. Heat Transfer, 96-2:214-217, 1974. We prove here that there exists a unique non-negative analytic solution for small positive values of th...
Article
We study the flow of a Newtonian fluid through a vessel provided with valves ensuring a unidirectional motion and whose walls are animated by periodic peristaltic waves. The ultimate target is to describe the phenomenon of vasomotion, consisting in periodic oscillations of blood vessels walls which is particularly important for the blood flow in ve...
Article
Full-text available
We have considered the simultaneous determination of two unknown thermal coefficients for a semi-infinite material which was under a phase-change process with a mushy zone according to the model of Solomon, Wilson and Alexiades. It was assumed that the material was initially liquid at its melting temperature and that the solidification process bega...
Article
Full-text available
A non-classical initial and boundary value problem for a non-homogeneous one-dimensional heat equation for a semi-infinite material with a zero temperature boundary condition is studied. It is not a standard heat conduction problem because a non-uniform heat source dependent on the heat flux at the boundary is considered. The purpose of this articl...
Article
Full-text available
A semi-infinite material under a solidification process with the Solomon-Wilson- Alexiades's mushy zone model with a heat flux condition at the fixed boundary is considered. The associated free boundary problem is overspecified through a convective boundary condition with the aim of the simultaneous determination of the temperature, the two free bo...
Conference Paper
Full-text available
Resumen: Se considera un material semi-infinito caracterizado por x > 0 que se encuentra inicialmente en su fase líquida a temperatura de fusión y que se somete a un flujo de calor en la frontera x = 0, a partir de lo cual se incia un proceso de solidificación con presencia de una zona pastosa. Se impone una sobrecondición convectiva en x = 0 con e...
Conference Paper
Full-text available
We consider a semi-infinite material characterized by x > 0 which is initially assumed to be liquid at its melting temperature. At time t = 0 a heat flux condition is imposed at the fixed face x = 0, and a solidification process with a mushy zone begins. We impose an overspecified convective condition at x = 0 with the aim of the simultaneous deter...
Article
Full-text available
Similarity solutions for a one-dimensional mathematical model for thawing in a saturated semi-infinite porous media is considered when change of phase induces a density jump and a convective boundary condition is imposed at the fixed face $x=0$. Different cases depending on physical parameters are analysed and an explicit solution of a similarity t...
Article
Full-text available
RESUMEN En este trabajo se considera un problema asociado a las ecuaciones de Navier-Stokes y de continuidad correspondiente al flujo en un canal con escalón bidimensional para , se lo resuelve numéricamente mediante el Método de Volúmenes Finitos a través OpenFOAM ® y se analiza la posibilidad de obtener una solución numérica estacionaria. Complem...
Conference Paper
Full-text available
Resumen: Se estudian soluciones de similaridad para un modelo de descongelamiento en un medio poroso saturado, cuando el cambio de fase induce un salto de densidad y se considera una condición de flujo de tipo h0 √ t (u(0, t) − B) en el borde fijo x = 0. Se analizan diferentes casos, dependiendo del signo de tres parámetros físicos adimensionales....
Conference Paper
Full-text available
Este trabajo presenta una caracterización numérica del decaimiento de la turbulencia en resaltos hidráulicos de bajo número de Froude. El modelo utilizado está basado en las ecuaciones de Reynolds con un modelo de cierre de viscosidad turbulenta de dos ecuaciones donde la interfaz es determinada empleando una variante del método de volumen de fluido...

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