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Session

RAR2: Recent advances in regularity theory for PDEs Location: M628 Session Chair: Simon Nowak Session Chair: Marvin Weidner

Presentation 3

Regularity theory for Stefan-type problems Naian Liao University of Salzburg, Austria The classical Stefan problem aims to describe the evolution of the moving boundary between two phases of a material undergoing a phase change, for instance the melting of ice to water. One way to study the problem is the so-called enthalpy formulation. Weak solutions (temperature) can be found in proper function spaces. My talk concerns the first key property beyond the original functional analytic set-up, namely the continuity of weak solutions. I will present some recent advances in this direction.