16 citations · 16 across the 3 of their papers we have counts for
3 papers
math.AP2024
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…
math.AP2023
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…
math.AP2014★ 16 cited
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…