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Stability analysis of geometric evolution equations with triple lines
and boundary contact

URN to cite this document:
urn:nbn:de:bvb:355-epub-160479
Depner, Daniel
Date of publication of this fulltext: 10 Sep 2010 12:46


Abstract (English)

In this doctoral thesis we investigate different area-minimizing geometric evolution equations for evolving hypersurfaces, which lie in a fixed domain and touch its boundary at a right angle. Additionally we consider situations where three evolving hypersurfaces meet each other at a triple line under prescribed angle conditions. We introduce appropriate parametrizations to formulate the ...

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Translation of the abstract (German)

In dieser Dissertation untersuchen wir verschiedene oberflächen-minimierende geometrische Evolutionsgleichungen für evolvierende Hyperflächen, die in einem festen Gebiet liegen und am Rand in einem rechten Winkel auftreffen. Zusätzlich betrachten wir Situationen, in denen sich drei evolvierende Hyperflächen in einer Tripelline in dem festen Gebiet unter vorgegebenen Winkeln treffen. Wir führen ...

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