Näytä suppeat kuvailutiedot

dc.contributor.authorFusco, Nicola
dc.contributor.authorJulin, Vesa
dc.contributor.authorMorini, Massimiliano
dc.date.accessioned2023-02-07T07:57:32Z
dc.date.available2023-02-07T07:57:32Z
dc.date.issued2022
dc.identifier.citationFusco, 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.otherCONVID_103863251
dc.identifier.urihttps://jyx.jyu.fi/handle/123456789/85378
dc.description.abstractWe 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.mimetypeapplication/pdf
dc.language.isoeng
dc.publisherSpringer
dc.relation.ispartofseriesJournal of Geometric Analysis
dc.rightsIn Copyright
dc.subject.otherforced mean curvature flow
dc.subject.otherlarge time behavior
dc.subject.otherstationary sets
dc.subject.othercritical sets
dc.titleStationary Sets and Asymptotic Behavior of the Mean Curvature Flow with Forcing in the Plane
dc.typearticle
dc.identifier.urnURN:NBN:fi:jyu-202302071658
dc.contributor.laitosMatematiikan ja tilastotieteen laitosfi
dc.contributor.laitosDepartment of Mathematics and Statisticsen
dc.contributor.oppiaineMatematiikkafi
dc.contributor.oppiaineAnalyysin ja dynamiikan tutkimuksen huippuyksikköfi
dc.contributor.oppiaineMathematicsen
dc.contributor.oppiaineAnalysis and Dynamics Research (Centre of Excellence)en
dc.type.urihttp://purl.org/eprint/type/JournalArticle
dc.type.coarhttp://purl.org/coar/resource_type/c_2df8fbb1
dc.description.reviewstatuspeerReviewed
dc.relation.issn1050-6926
dc.relation.numberinseries2
dc.relation.volume32
dc.type.versionacceptedVersion
dc.rights.copyright© Mathematica Josephina, Inc. 2021
dc.rights.accesslevelopenAccessfi
dc.relation.grantnumber314227
dc.subject.ysoosittaisdifferentiaaliyhtälöt
dc.format.contentfulltext
jyx.subject.urihttp://www.yso.fi/onto/yso/p12392
dc.rights.urlhttp://rightsstatements.org/page/InC/1.0/?language=en
dc.relation.doi10.1007/s12220-021-00806-x
dc.relation.funderResearch Council of Finlanden
dc.relation.funderSuomen Akatemiafi
jyx.fundingprogramResearch costs of Academy Research Fellow, AoFen
jyx.fundingprogramAkatemiatutkijan tutkimuskulut, SAfi
jyx.fundinginformationThe 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.okmA1


Aineistoon kuuluvat tiedostot

Thumbnail

Aineisto kuuluu seuraaviin kokoelmiin

Näytä suppeat kuvailutiedot

In Copyright
Ellei muuten mainita, aineiston lisenssi on In Copyright