Kubin, A. (2024, May 21). Dynamical Stability of the Surface Diffusion Flow in the Flat Torus [Conference Presentation]. SIAM Conference on Mathematical Aspects of Materials Science (MS 2024), Pittsburgh, United States of America (the).
SIAM Conference on Mathematical Aspects of Materials Science (MS 2024)
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Veranstaltungszeitraum:
19-Mai-2024 - 23-Mai-2024
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Veranstaltungsort:
Pittsburgh, Vereinigte Staaten von Amerika
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Keywords:
Geometric flow; Stability; Asymptotic behaviour
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Abstract:
We show that, in the N-dimensional flat torus, the surface diffusion flow, with initial datum sufficiently close in C1,1 to a strictly stable critical set of the perimeter, exists for all times and converges, as the time goes to infinity, to a suitable translate of such critical set exponentially fast.
This work has been done in collaboration with D. De Gennaro, A. Diana and A. Kubin.
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Projekttitel:
Spezialforschungsbereich “Taming Complexity in Materials Modeling”: F 8100 (FWF - Österr. Wissenschaftsfonds) Alternierende Minimierung in der Bruchmechanik: P 35359-N (FWF - Österr. Wissenschaftsfonds)
