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math.AP2026
Instability estimates for the recovery of absorption in the diffusive regime of radiative transfer
Elena Demattè, Alessandro Felisi, Angkana Rüland +1
We revisit the instability properties of the recovery of the absorption coefficient for the radiative transfer equation in the diffusive regime. To this end, we develop a rather ro…
math.AP2025
Traveling waves for a two-phase Stefan problem with radiation
Elena Demattè, Juan J. L. Velázquez
In this paper we study the existence of traveling wave solutions for a free-boundary problem modeling the phase transition of a material where the heat is transported by both condu…
math.AP2025
Well-posedness for a two-phase Stefan problem with radiation
Elena Demattè, Juan J. L. Velázquez
In this paper we consider a free boundary problem for the melting of ice where we assume that the heat is transported by conduction in both the liquid and the solid part of the mat…