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Applied Analysis
Seminar information archive ～05/18｜Next seminar｜Future seminars 05/19～
| Date, time & place | Thursday 16:00 - 17:30 002Room #002 (Graduate School of Math. Sci. Bldg.) |
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2024/05/30
16:00-17:30 Room #128 (Graduate School of Math. Sci. Bldg.)
Tim Laux (University of Regensburg, Germany)
Energy convergence of the Allen-Cahn equation for mean convex mean curvature flow (English)
https://forms.gle/8KnFWfHFbkn9fAqaA
Tim Laux (University of Regensburg, Germany)
Energy convergence of the Allen-Cahn equation for mean convex mean curvature flow (English)
[ Abstract ]
In this talk, I'll present a work in progress in which I positively answer a question of Ilmanen (JDG 1993) on the strong convergence of the Allen-Cahn equation to mean curvature flow when starting from well-prepared initial data around a mean convex surface. As a corollary, the conditional convergence result with Simon (CPAM 2018) becomes unconditional in the mean convex case.
[ Reference URL ]In this talk, I'll present a work in progress in which I positively answer a question of Ilmanen (JDG 1993) on the strong convergence of the Allen-Cahn equation to mean curvature flow when starting from well-prepared initial data around a mean convex surface. As a corollary, the conditional convergence result with Simon (CPAM 2018) becomes unconditional in the mean convex case.
https://forms.gle/8KnFWfHFbkn9fAqaA
