The asymptotics of the area-preserving mean curvature and the Mullins–Sekerka flow in two dimensions
| dc.contributor.author | Julin, Vesa | |
| dc.contributor.author | Morini, Massimiliano | |
| dc.contributor.author | Ponsiglione, Marcello | |
| dc.contributor.author | Spadaro, Emanuele | |
| dc.date.accessioned | 2022-11-23T07:33:56Z | |
| dc.date.available | 2022-11-23T07:33:56Z | |
| dc.date.issued | 2022 | |
| dc.identifier.citation | Julin, V., Morini, M., Ponsiglione, M., & Spadaro, E. (2022). The asymptotics of the area-preserving mean curvature and the Mullins–Sekerka flow in two dimensions. <i>Mathematische Annalen</i>, <i>Early online</i>. <a href="https://doi.org/10.1007/s00208-022-02497-3" target="_blank">https://doi.org/10.1007/s00208-022-02497-3</a> | |
| dc.identifier.other | CONVID_160165252 | |
| dc.identifier.uri | https://jyx.jyu.fi/handle/123456789/84041 | |
| dc.description.abstract | We provide the first general result for the asymptotics of the area preserving mean curvature flow in two dimensions showing that flat flow solutions, starting from any bounded set of finite perimeter, converge with exponential rate to a finite union of equally sized disjoint disks. A similar result is established also for the periodic two-phase Mullins–Sekerka flow. | en |
| dc.format.mimetype | application/pdf | |
| dc.language.iso | eng | |
| dc.publisher | Springer | |
| dc.relation.ispartofseries | Mathematische Annalen | |
| dc.rights | CC BY 4.0 | |
| dc.title | The asymptotics of the area-preserving mean curvature and the Mullins–Sekerka flow in two dimensions | |
| dc.type | article | |
| dc.identifier.urn | URN:NBN:fi:jyu-202211235320 | |
| dc.contributor.laitos | Matematiikan ja tilastotieteen laitos | fi |
| dc.contributor.laitos | Department of Mathematics and Statistics | en |
| dc.contributor.oppiaine | Analyysin ja dynamiikan tutkimuksen huippuyksikkö | fi |
| dc.contributor.oppiaine | Matematiikka | fi |
| dc.contributor.oppiaine | Analysis and Dynamics Research (Centre of Excellence) | en |
| 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.relation.issn | 0025-5831 | |
| dc.relation.volume | Early online | |
| dc.type.version | publishedVersion | |
| dc.rights.copyright | © The Author(s) 2022 | |
| dc.rights.accesslevel | openAccess | fi |
| dc.subject.yso | matematiikka | |
| dc.subject.yso | mallintaminen | |
| dc.format.content | fulltext | |
| jyx.subject.uri | http://www.yso.fi/onto/yso/p3160 | |
| jyx.subject.uri | http://www.yso.fi/onto/yso/p3533 | |
| dc.rights.url | https://creativecommons.org/licenses/by/4.0/ | |
| dc.relation.doi | 10.1007/s00208-022-02497-3 | |
| jyx.fundinginformation | Open access funding provided by Università degli Studi di Roma La Sapienza within the CRUI-CARE Agreement. | |
| dc.type.okm | A1 |
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