Stationary Sets and Asymptotic Behavior of the Mean Curvature Flow with Forcing in the Plane
| dc.contributor.author | Fusco, Nicola | |
| dc.contributor.author | Julin, Vesa | |
| dc.contributor.author | Morini, Massimiliano | |
| dc.date.accessioned | 2023-02-07T07:57:32Z | |
| dc.date.available | 2023-02-07T07:57:32Z | |
| dc.date.issued | 2022 | |
| dc.identifier.citation | Fusco, N., Julin, V., & Morini, M. (2022). Stationary Sets and Asymptotic Behavior of the Mean Curvature Flow with Forcing in the Plane. <i>Journal of Geometric Analysis</i>, <i>32</i>(2), Article 53. <a href="https://doi.org/10.1007/s12220-021-00806-x" target="_blank">https://doi.org/10.1007/s12220-021-00806-x</a> | |
| dc.identifier.other | CONVID_103863251 | |
| dc.identifier.uri | https://jyx.jyu.fi/handle/123456789/85378 | |
| dc.description.abstract | We consider the flat flow solutions of the mean curvature equation with a forcing term in the plane. We prove that for every constant forcing term the stationary sets are given by a finite union of disks with equal radii and disjoint closures. On the other hand for every bounded forcing term tangent disks are never stationary. Finally in the case of an asymptotically constant forcing term we show that the only possible long time limit sets are given by disjoint unions of disks with equal radii and possibly tangent. | en |
| dc.format.mimetype | application/pdf | |
| dc.language.iso | eng | |
| dc.publisher | Springer | |
| dc.relation.ispartofseries | Journal of Geometric Analysis | |
| dc.rights | In Copyright | |
| dc.subject.other | forced mean curvature flow | |
| dc.subject.other | large time behavior | |
| dc.subject.other | stationary sets | |
| dc.subject.other | critical sets | |
| dc.title | Stationary Sets and Asymptotic Behavior of the Mean Curvature Flow with Forcing in the Plane | |
| dc.type | research article | |
| dc.identifier.urn | URN:NBN:fi:jyu-202302071658 | |
| 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 | Analyysin ja dynamiikan tutkimuksen huippuyksikkö | fi |
| dc.contributor.oppiaine | Mathematics | en |
| dc.contributor.oppiaine | Analysis and Dynamics Research (Centre of Excellence) | 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.relation.issn | 1050-6926 | |
| dc.relation.numberinseries | 2 | |
| dc.relation.volume | 32 | |
| dc.type.version | acceptedVersion | |
| dc.rights.copyright | © Mathematica Josephina, Inc. 2021 | |
| dc.rights.accesslevel | openAccess | fi |
| dc.type.publication | article | |
| dc.relation.grantnumber | 314227 | |
| dc.subject.yso | osittaisdifferentiaaliyhtälöt | |
| dc.format.content | fulltext | |
| jyx.subject.uri | http://www.yso.fi/onto/yso/p12392 | |
| dc.rights.url | http://rightsstatements.org/page/InC/1.0/?language=en | |
| dc.relation.doi | 10.1007/s12220-021-00806-x | |
| 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 research of N.F. has been funded by PRIN Project 2015PA5MP7. The research of V.J. was supported by the Academy of Finland grant 314227. N.F. and M.M. are members of Gruppo Nazionale per l’Analisi Matematica, la Probabilità e le loro Applicazioni (GNAMPA) of INdAM. | |
| dc.type.okm | A1 |
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