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Feb 16, 2023

Stability of the volume preserving mean curvature flow in the flat torus

Mathphys Analysis Seminar

Date: February 16, 2023 | 5:15 pm – 6:15 pm
Speaker: Anna Kubin, Politecnico di Torino
Location: Mondi 2 (I01.01.008), Central Building
Language: English

In this talk, we analyse the exponential stability for the volume preserving mean curvature flow in the flat torus. More precisely, we show that the flow starting near a strictly stable critical set E of the perimeter converges in the long time to a translation of E exponentially fast. We prove this result both for the classical case and for the time-discrete case (Almgren-Taylor-Wang scheme).
An important tool of these proof consists in a new quantitative estimate of Alexandrov type for constant mean curvature hypersurfaces. These works have been done in collaboration with D. De Gennaro, A. Dianaand A. Kubin 

More Information:

Date:
February 16, 2023
5:15 pm – 6:15 pm

Speaker:
Anna Kubin, Politecnico di Torino

Location:
Mondi 2 (I01.01.008), Central Building

Language:
English

Contact:

Birgit Oosthuizen-Noczil

Email:
birgit.oosthuizen-noczil@ist.ac.at

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