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
Seminar/Talk
Tags
Mathematics and CS Seminar, mathematical_seminar_ics
Host
Julian Fischer
Contact
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