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.
A Sharp Quantitative Alexandrov Inequality and Applications to Volume Preserving Geometric Flows in 3D / Julin, V.; Morini, M.; Oronzio, F.; Spadaro, E.. - In: ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS. - ISSN 0003-9527. - 249:6(2025). [10.1007/s00205-025-02141-9]
A Sharp Quantitative Alexandrov Inequality and Applications to Volume Preserving Geometric Flows in 3D
Julin V.;Morini M.;Oronzio F.;Spadaro E.
2025
Abstract
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.File allegati a questo prodotto
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