30 citations · 108 across the 18 of their papers we have counts for
19 papers
On the closed solution of a problem coupling fluid infiltration with a hydration reaction
Diego Guevara, Sabrina Roscani, Piotr Rybka +1
We present a one-dimensional model for water infiltration coupled with a hydration reaction, relevant to coupled transport and chemical processes in the Earth's subsurface. In this…
Convergence of solutions of a one-phase Stefan problem with Neumann boundary data to a self-similar profile
Danielle Hilhorst, Sabrina Roscani, Piotr Rybka
We study a one-dimensional one-phase Stefan problem with a Neumann boundary condition on the fixed part of the boundary. We construct the unique self-similar solution, and show tha…
On a Space Fractional Stefan problem of Dirichlet type with Caputo flux
S. D. Roscani, K. Ryszewska, L. D. Venturato
We study a space-fractional Stefan problem with the Dirichlet boundary conditions. It is a model that describes superdiffusive phenomena. Our main result is the existence of the un…
A one-phase space -- fractional Stefan problem with no liquid initial domain
Sabrina Roscani, Katarzyna Ryszewska, Lucas Venturato
Taking into account the recent works \cite{RoTaVe:2020} and \cite{Rys:2020}, we consider a phase-change problem for a one dimensional material with a non-local flux, expressed in t…
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…
Asymptotic analysis of a problem for dynamic thermoelastic shells
M. T. Cao-Rial, G. Castiñeira, Á. Rodríguez-Arós +1
In this paper we consider a family of three-dimensional problems in thermoelasticity for linear elliptic membrane shells and study the asymptotic behaviour of the solution when the…
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…
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…
About Convergence and Order of Convergence of some Fractional Derivatives
Sabrina Roscani, Lucas Venturato
In this paper we establish some convergence results for Riemann-Liouville, Caputo, and Caputo-Fabrizio fractional operators when the order of differentiation approaches one. We con…
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…
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…
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…
Two different fractional Stefan problems which are convergent to the same classical Stefan problem
Sabrina D. Roscani, Domingo A. Tarzia
Two fractional Stefan problems are considered by using Riemann-Liouville and Caputo derivatives of order such that in the limit case () both problems coincide wit…
An integral Relationship for a new Fractional One-phase Stefan Problem
Sabrina Roscani, Domingo Tarzia
A one-dimensional fractional one-phase Stefan problem with a temperature boundary condition at the fixed face is considered. An integral relationship between the temperature and th…
A Generalization of the Hopf's Lemma for the 1-D Moving-Boundary Problem for the Fractional Diffusion Equation and its Application to a Fractional Free-Boundary Problem
Sabrina D. Roscani
This paper deals with a theoretical mathematical analysis of a one-dimensional-moving-boundary problem for the time-fractional diffusion equation, where the time-fractional derivat…
A Generalized Neumann Solution for the Two-Phase Fractional Lamé-Clapeyron-Stefan Problem
Sabrina D. Roscani, Domingo A. Tarzia
We obtain a generalized Neumann solution for the two-phase fractional Lamé-Clapeyron-Stefan problem for a semi-infinite material with constant boundary and initial conditions. In t…
A new equivalence of Stefan's problems for the Time-Fractional-Diffusion Equation
Sabrina Roscani, Eduardo Santillan Marcus
A fractional Stefan problem with a boundary convective condition is solved, where the fractional derivative of order is taken in the Caputo sense. Then an equivalenc…
Two equivalent Stefan's problems for the Time Fractional Diffusion Equation
Sabrina Roscani, Eduardo A. Santillan Marcus
Two Stefan's problems for the diffusion fractional equation are solved, where the fractional derivative of order $ \al \in (0,1) $ is taken in the Caputo's sense. The first one has…
On the Initial-Boundary Problem for the Time-Fractional Diffusion Equation in the Quarter Plane
Demian Goos, Gabriela Reyero, Sabrina Roscani +1
Taking into account the asymptotic behavior of some Wright functions and the existence of bounds for the Mainardi and the Wright function in , t…