5 citations · 7 across the 7 of their papers we have counts for
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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…
Compactness and existence theory for a general class of stationary radiative transfer equations
Elena Demattè, Jin Woo Jang, Juan J. L. Velázquez
In this paper, we study the steady-states of a large class of stationary radiative transfer equations in a convex bounded domain. Namely, we consider the case in which both a…
On the diffusion approximation of the stationary radiative transfer equation with absorption and emission
Elena Demattè, Juan J. L. Velázquez
We study the situation in which the distribution of temperature a body is due to its interaction with radiation. We consider the boundary value problem for the stationary radiative…
On a kinetic equation describing the behavior of a gas interacting mainly with radiation
Elena Demattè
In this article we study a kinetic model which describes the interaction between a gas and radiation. Specifically, we consider a scaling limit in which the interaction between the…