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Dynamical Stability in Relation to Variational Stability: Double Bubbles in R²

URN to cite this document:
urn:nbn:de:bvb:355-epub-337893
DOI to cite this document:
10.5283/epub.33789
Arab, Nasrin
Date of publication of this fulltext: 01 Jun 2016 11:13


Abstract (English)

This thesis is devoted to the investigation of the dynamical stability of standard planar double bubbles. By presenting connections between the dynamical stability and variational stability, we prove that standard planar double bubbles are dynamically stable under the surface diffusion flow. This investigation leads us to extend a practical tool the so-called generalized principle of linearized ...

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Translation of the abstract (German)

In dieser Dissertation wird die dynamische Stabilität von Standard-planaren Doppelblasen untersucht.
Durch Darstellung der Verbindung zwischen der dynamischen Stabilität und der variationellen Stabilität, beweisen wir, dass die Standard-planaren Doppelblasen unter Oberflächen-Diffusion dynamisch stabil sind.


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