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The Curve Diffusion Flow with a Contact Angle

Butz, Julia (2018) The Curve Diffusion Flow with a Contact Angle. PhD, Universität Regensburg.

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Date of publication of this fulltext: 14 Sep 2018 09:03

Abstract (English)

We consider the evolution of open curves driven by curve diffusion flow. This geometric evolution equation arises in problems of phase separation in material science and is the one-dimensional analogue of the surface diffusion flow. The evolving family of curves has free boundary points, which are supported on a line and it has a fixed contact angle $\alpha \in (0, \pi)$ with that line. Moreover, ...

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Translation of the abstract (German)

Wir betrachten offene Kurven, die durch den Kurvendiffusionsfluss evolviert werden. Diese geometrische Evolutionsgleichung tritt bei Phasenseparationsphänomenen in den Materialwissenschaften auf und ist das eindimensionale Analogon des Oberflächendiffusionsflusses. Die Familie evolvierender Kurven hat Randpunkte, die sich frei auf einer Linie bewegen und die Kurven bilden einen festen Winkel ...

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Item type:Thesis of the University of Regensburg (PhD)
Date:14 September 2018
Referee:Prof. Dr. Helmut Abels
Date of exam:30 May 2018
Institutions:Mathematics > Prof. Dr. Helmut Abels
Keywords:curve diffusion flow, well-posedness, blow-up criterion, angle condition
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:37705
Owner only: item control page

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