4 papers
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…
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…
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…
Equilibrium and Non-Equilibrium diffusion approximation for the radiative transfer equation
Elena Demattè, Juan J. L. Velázquez
In this paper we study the distribution of the temperature within a body where the heat is transported only by radiation. Specifically, we consider the situation where both emissio…