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Carolin Gietz

14. John von Neumann-Lecture by Prof. Dr. Alessio Figalli (ETH Zürich):
Regularity of interfaces in phase transitions via obstacle problems

Thursday, 18.10.2018 16:30 im Raum M2, Hörsaalgebäude, Einsteinstr. 62/64, Münster

Mathematik und Informatik

The so-called Stefan problem describes the temperature distribution in a homogeneous medium undergoing a phase change, for example ice melting to water. An important goal is to describe the structure of the interface separating the two phases. In its stationary version, the Stefan problem can be reduced to the classical obstacle problem, which consists in finding the equilibrium position of an elastic membrane whose boundary is held fixed and which is constrained to lie above a given obstacle. In this talk I will give a general overview of the classical theory of the obstacle problem, and then discuss recent developments on the structure of interfaces, both in the static and the parabolic settings.



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Angelegt am Monday, 03.09.2018 15:22 von Carolin Gietz
Geändert am Thursday, 01.11.2018 14:50 von Anne Schindler
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Kolloquium der angewandten Mathematik
Mathematics Münster