Record link: 
http://hdl.handle.net/20.500.12708/197691
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Title: 
Dynamical Stability of the Surface Diffusion Flow in the Flat Torus
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Citation: 
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).
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Publication Type: 
Presentation - Conference Presentation
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Language: 
English
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Authors: 
Kubin, Anna 
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Organisational Unit: 
E101-01 - Forschungsbereich Analysis 
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Date (published): 
21-May-2024
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Event name: 
SIAM Conference on Mathematical Aspects of Materials Science (MS 2024) 
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Event date: 
19-May-2024 - 23-May-2024
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Event place: 
Pittsburgh, United States of America (the)
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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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Project title: 
Spezialforschungsbereich “Taming Complexity in Materials Modeling”: F 8100 (FWF - Österr. Wissenschaftsfonds) 
Alternierende Minimierung in der Bruchmechanik: P 35359-N (FWF - Österr. Wissenschaftsfonds) 
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Research Areas: 
Surfaces and Interfaces: 100%
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Science Branch: 
1010 - Mathematik: 100%
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