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


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Publication details

All authors or editorsNiinikoski, Joonas

Journal or seriesJournal of Differential Equations

ISSN0022-0396

eISSN1090-2732

Publication year2021

Volume276

Pages range149-186

PublisherElsevier BV

Publication countryNetherlands

Publication languageEnglish

DOIhttps://doi.org/10.1016/j.jde.2020.12.010

Publication open accessNot 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.


Keywordsdifferential geometrypartial differential equations

Free keywordsperiodic stability; strictly stable sets; volume preserving mean curvature flow


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Ministry reportingYes

Reporting Year2021

JUFO rating2


Last updated on 2024-03-04 at 20:06