Volume preserving mean curvature flows near strictly stable sets in flat torus
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
Published inJournal of Differential Equations
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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.
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Related funder(s)Academy of Finland
Funding program(s)Research costs of Academy Research Fellow, AoF
Additional information about fundingThe work was supported by the Academy of Finland grant 314227.
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