Global existence of solutions of area-preserving curvature flow of a convex plane curve in an inhomogeneous medium

DOI10.1007/s42985-022-00176-1zbMath1490.35219OpenAlexW4280573419WikidataQ114216365 ScholiaQ114216365MaRDI QIDQ2141927

Hirokazu Ninomiya, Roger Lui

Publication date: 25 May 2022

Published in: SN Partial Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s42985-022-00176-1

zbMATH Keywords

inhomogeneous mediumsignal function

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Curves in Euclidean and related spaces (53A04) Quasilinear parabolic equations with mean curvature operator (35K93) Geometric evolution equations (53E99)

Uses Software

• Chemotaxis

Cites Work

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• The volume preserving mean curvature flow near spheres
• On a planar area-preserving curvature flow
• Compact traveling waves for anisotropic curvature flows with driving force
• Stationary solutions of an area-preserving curvature flow in an inhomogeneous medium
• Self-intersections for the surface diffusion and the volume-preserving mean curvature flow

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