Volume preserving mean curvature flows near strictly stable sets in flat torus
| dc.contributor.author | Niinikoski, Joonas | |
| dc.date.accessioned | 2021-10-28T09:01:16Z | |
| dc.date.available | 2021-10-28T09:01:16Z | |
| dc.date.issued | 2021 | |
| dc.identifier.citation | Niinikoski, J. (2021). Volume preserving mean curvature flows near strictly stable sets in flat torus. <i>Journal of Differential Equations</i>, <i>276</i>, 149-186. <a href="https://doi.org/10.1016/j.jde.2020.12.010" target="_blank">https://doi.org/10.1016/j.jde.2020.12.010</a> | |
| dc.identifier.other | CONVID_51625359 | |
| dc.identifier.uri | https://jyx.jyu.fi/handle/123456789/78406 | |
| dc.description.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. | en |
| dc.format.mimetype | application/pdf | |
| dc.language.iso | eng | |
| dc.publisher | Elsevier BV | |
| dc.relation.ispartofseries | Journal of Differential Equations | |
| dc.rights | CC BY-NC-ND 4.0 | |
| dc.subject.other | periodic stability | |
| dc.subject.other | strictly stable sets | |
| dc.subject.other | volume preserving mean curvature flow | |
| dc.title | Volume preserving mean curvature flows near strictly stable sets in flat torus | |
| dc.type | research article | |
| dc.identifier.urn | URN:NBN:fi:jyu-202110285435 | |
| dc.contributor.laitos | Matematiikan ja tilastotieteen laitos | fi |
| dc.contributor.laitos | Department of Mathematics and Statistics | en |
| dc.contributor.oppiaine | Matematiikka | fi |
| dc.contributor.oppiaine | Mathematics | en |
| dc.type.uri | http://purl.org/eprint/type/JournalArticle | |
| dc.type.coar | http://purl.org/coar/resource_type/c_2df8fbb1 | |
| dc.description.reviewstatus | peerReviewed | |
| dc.format.pagerange | 149-186 | |
| dc.relation.issn | 0022-0396 | |
| dc.relation.volume | 276 | |
| dc.type.version | acceptedVersion | |
| dc.rights.copyright | © 2020 Elsevier Inc. All rights reserved. | |
| dc.rights.accesslevel | openAccess | fi |
| dc.type.publication | article | |
| dc.relation.grantnumber | 314227 | |
| dc.subject.yso | differentiaaligeometria | |
| dc.subject.yso | osittaisdifferentiaaliyhtälöt | |
| dc.format.content | fulltext | |
| jyx.subject.uri | http://www.yso.fi/onto/yso/p16682 | |
| jyx.subject.uri | http://www.yso.fi/onto/yso/p12392 | |
| dc.rights.url | https://creativecommons.org/licenses/by-nc-nd/4.0/ | |
| dc.relation.doi | 10.1016/j.jde.2020.12.010 | |
| dc.relation.funder | Research Council of Finland | en |
| dc.relation.funder | Suomen Akatemia | fi |
| jyx.fundingprogram | Research costs of Academy Research Fellow, AoF | en |
| jyx.fundingprogram | Akatemiatutkijan tutkimuskulut, SA | fi |
| jyx.fundinginformation | The work was supported by the Academy of Finland grant 314227. | |
| dc.type.okm | A1 |
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