The area preserving curve shortening flow with Neumann free boundary conditions

• Autorzy: Elena Mäder-Baumdicker
• Języki publikacji: EN

Abstrakty

EN

We study the area preserving curve shortening flow with Neumann free boundary conditions outside of a convex domain in the Euclidean plane. Under certain conditions on the initial curve the flow does not develop any singularity, and it subconverges smoothly to an arc of a circle sitting outside of the given fixed domain and enclosing the same area as the initial curve.

Słowa kluczowe

EN

Geometric analysis; Curve shortening flow; Free boundary; Neumann boundary condition; Singularities; Volume preserving

Kategorie tematyczne

• 35K59: Quasilinear parabolic equations
• 35K93: Quasilinear parabolic equations with mean curvature operator
• 58J32: Boundary value problems on manifolds
• 35K65: Degenerate parabolic equations

• Wydawca: De Gruyter Open
• Czasopismo: Geometric Flows
• Rocznik: 2015
• Tom: 1
• Numer: 1

Daty

otrzymano

2015-02-02

zaakceptowano

2015-02-23

online

2015-05-25

Twórcy

autor

Elena Mäder-Baumdicker

• Karlsruhe Institute of Technology, Department of Mathematics, Englerstr. 2, D-76131 Karlsruhe, Germany

Bibliografia

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Identyfikatory

DOI

10.1515/geofl-2015-0004