The area preserving curve shortening flow with Neumann free boundary conditions

DOI10.1515/geofl-2015-0004zbMath1360.58020arXiv1503.05814OpenAlexW2963909317MaRDI QIDQ326953

Elena Mäder-Baumdicker

Publication date: 13 October 2016

Published in: Geometric Flows (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.05814

zbMATH Keywords

singularitiesNeumann boundary conditionfree boundarygeometric analysisgradient estimatesmonotonicity formulasvolume preservingcurve shortening flowblowup pointlimit curves

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Degenerate parabolic equations (35K65) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Boundary value problems on manifolds (58J32) Research exposition (monographs, survey articles) pertaining to differential geometry (53-02) Quasilinear parabolic equations (35K59) Quasilinear parabolic equations with mean curvature operator (35K93)

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The area preserving curve shortening flow with Neumann free boundary conditions ⋮ Singularities of the area preserving curve shortening flow with a free boundary condition ⋮ Snapshots of non-local constrained mean curvature-type flows ⋮ Nonlocal estimates for the volume preserving mean curvature flow and applications ⋮ Curve flows with a global forcing term

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