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, Vesa; Morini, Massimiliano; Oronzio, Francesca; Spadaro, Emanuele. - 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
Morini, Massimiliano;Spadaro, Emanuele
2025-01-01
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 in questo prodotto:
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