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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…
Analysis of a three-dimensional fluid flow in rotating cylinders
Juri Joussen, Janne Laudien, Christina Lienstromberg +1
Subject of consideration is the modelling and analysis of a capillary-driven three-dimensional rimming-flow problem. We present the derivation of a fourth-order quasilinear degener…
A note on instantaneous gelation for coagulation kernels vanishing on the diagonal
Iulia Cristian, Barbara Niethammer, Juan J. L. Velázquez
We prove that instantaneous gelation (i.e., instantaneous loss of mass) occurs for coagulation equations with sum-type kernels of homogeneity greater than one which vanish on the d…
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…
Asymptotic Velocity Profiles for Homoenergetic Rayleigh-Boltzmann Flows under Dominant Shear
Nicola Miele, Alessia Nota, Juan J. L. Velázquez
In this paper, we study a particular class of solutions to the Rayleigh--Boltzmann equation, known in the nonlinear setting as \emph{homoenergetic solutions}. These solutions take…
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…