<div class="csl-bib-body">
<div class="csl-entry">Kubin, A. (2025, January 24). <i>Stability of volume-preserving flows in the flat torus</i> [Presentation]. Oberseminar Analysis, University of Regensburg, Germany. http://hdl.handle.net/20.500.12708/210648</div>
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/210648
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dc.description.abstract
In this talk, we present recent results on the stability of three volume-preserving geometric flows in the N-dimensional flat torus: the volume-preserving Mean Curvature Flow, the Surface Diffusion Flow, and the Mullins-Sekerka Flow.
Specifically, we show that, for initial data sufficiently close to a strictly stable critical set of the perimeter (in an appropriate sense), these flows exist for all times and converge exponentially fast to a translate of the stable set as the time tends to infinity.
This work has been done in collaboration with Daniele De Gennaro, Antonia Diana and Andrea Kubin.
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dc.language.iso
en
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dc.subject
Geometric flows
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dc.subject
Stability
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dc.subject
Mean Curvature Flow
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dc.subject
Surface diffusion
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dc.title
Stability of volume-preserving flows in the flat torus
