A1 Journal article (refereed)
Volume preserving mean curvature flows near strictly stable sets in flat torus (2021)
Niinikoski, J. (2021). Volume preserving mean curvature flows near strictly stable sets in flat torus. Journal of Differential Equations, 276, 149-186. https://doi.org/10.1016/j.jde.2020.12.010
JYU authors or editors
Publication details
All authors or editors: Niinikoski, Joonas
Journal or series: Journal of Differential Equations
ISSN: 0022-0396
eISSN: 1090-2732
Publication year: 2021
Volume: 276
Pages range: 149-186
Publisher: Elsevier BV
Publication country: Netherlands
Publication language: English
DOI: https://doi.org/10.1016/j.jde.2020.12.010
Publication open access: Not open
Publication channel open access:
Publication is parallel published (JYX): https://jyx.jyu.fi/handle/123456789/78406
Web address of parallel published publication (pre-print): https://arxiv.org/abs/1907.03618
Abstract
In this paper we establish a new stability result for smooth volume preserving mean curvature flows in flat torus T-n in dimensions n = 3, 4. The result says roughly that if an initial set is near to a strictly stable set in T-n in H-3-sense, then the corresponding flow has infinite lifetime and converges exponentially fast to a translate of the strictly stable (critical) set in W-2,W-5-sense.
Keywords: differential geometry; partial differential equations
Free keywords: periodic stability; strictly stable sets; volume preserving mean curvature flow
Contributing organizations
Related projects
- Variational problems of isoperimetric type. Stability and Geometric flows (research costs)
- Julin, Vesa
- Research Council of Finland
Ministry reporting: Yes
VIRTA submission year: 2021
JUFO rating: 2