Upcoming Talks

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

Mathphys Analysis Seminar

Date: Thursday, February 16, 2023 17:15 - 18:15
Speaker: Anna Kubin (Politecnico di Torino)
Location: Mondi 2 (I01.01.008), Central Building
Series: Mathematics and CS Seminar
Host: Julian Fischer
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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 

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