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A Sharp Quantitative Alexandrov Inequality and Applications to Volume Preserving Geometric Flows in 3D
Matematiikan ja Tilastotieteen Laitos, Jyväskylän Yliopisto, Jyväskylän, Finland.
Dipartimento di Scienze Matematiche Fisiche e Informatiche, Università di Parma, Parma, Italy.
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.).ORCID iD: 0009-0006-6597-0077
Dip. di Matematica, Univ. Roma-I “La Sapienza”, Roma, Italy.ORCID iD: 0000-0003-2257-1958
2025 (English)In: Archive for Rational Mechanics and Analysis, ISSN 0003-9527, E-ISSN 1432-0673, Vol. 249, no 6, article id 78Article in journal (Refereed) Published
Abstract [en]

We study the asymptotic behavior of the volume preserving mean curvature and the Mullins–Sekerka flat flow in three dimensional space. Motivated by this, we establish a 3D sharp quantitative version of the Alexandrov inequality for C2-regular sets with a perimeter bound.
Place, publisher, year, edition, pages
Springer Nature , 2025. Vol. 249, no 6, article id 78
National Category
Computational Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-373727DOI: 10.1007/s00205-025-02141-9ISI: 001619916600001PubMedID: 41280519Scopus ID: 2-s2.0-105022640848OAI: oai:DiVA.org:kth-373727DiVA, id: diva2:2019840
Note

QC 20251209

Available from: 2025-12-09 Created: 2025-12-09 Last updated: 2025-12-09Bibliographically approved

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Oronzio, Francesca

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