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Universität Augsburg
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Universität Augsburg
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Dr. Marius Müller
Universität Augsburg
spricht am
Donnerstag, 17. Juli 2025
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16:30 Uhr
im
Raum 2004 (L1)
über das Thema:
| Abstract: |
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The classical Alt-Caffarelli functional was introduced to describe the shadow zone that a fluid stream leaves behind after hitting an obstacle. In this talk we will discuss a higher order variant involving bending energies. Minimizers have to find an optimal balance between not bending too
much and being nonpositive on a large set. These interests are conflicting if the boundary values are positive. The lack of a maximum principle will result in different phenomena compared to those observed in the classical setting. Of special interest is the nodal set of minimizers, a free boundary where regularity breaks down. I will explain how one can study gradient behavior of minimizers on this nodal set. These insights yield optimal regularity results and a measure-valued PDE describing minimizers. This is partly joint work with Hans-Christoph Grunau (Magdeburg) |
| Hierzu ergeht herzliche Einladung. |
| Prof. Dr. Lisa Beck |
Kaffee, Tee und Gebäck eine halbe Stunde vor Vortragsbeginn im Raum 2006 (L1).