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

Arab, Nasrin (2016) Dynamical Stability in Relation to Variational Stability: Double Bubbles in R². PhD, Universität Regensburg.

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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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Item type:Thesis of the University of Regensburg (PhD)
Date:1 June 2016
Referee:Prof. Dr. Harald Garcke
Date of exam:21 April 2016
Institutions:Mathematics > Prof. Dr. Harald Garcke
Classification:
NotationType
53C44MSC
35B35MSC
58E12MSC
Keywords:dynamical stability, variational stability, standard planar double bubbles, Surface diffusion flow, gradient flow, Fully nonlinear parabolic systems, General nonlinear boundary conditions,
Dewey Decimal Classification:500 Science > 510 Mathematics
Status:Published
Refereed:Yes, this version has been refereed
Created at the University of Regensburg:Yes
Item ID:33789
Owner only: item control page

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