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

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Ministry reporting: Yes

VIRTA submission year: 2021

JUFO rating: 2