FOURTH ORDER GEOMETRIC EVOLUTION EQUATIONS

DOI10.1017/S0004972710001863zbMath1211.35156OpenAlexW2106048712MaRDI QIDQ3065429

Glen Wheeler

Publication date: 5 January 2011

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972710001863

zbMATH Keywords

regularitylocal existenceglobal existencesingularity analysishypersurface flows

Mathematics Subject Classification ID

Nonlinear higher-order PDEs (35G20) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Local Riemannian geometry (53B20) Quasilinear parabolic equations (35K59)

Related Items (7)

Lifespan theorem and gap lemma for the globally constrained Willmore flow ⋮ On the curve diffusion flow of closed plane curves ⋮ Lifespan theorem for simple constrained surface diffusion flows ⋮ Surface diffusion flow near spheres ⋮ Analysis of the inhomogeneous Willmore equation ⋮ Lifespan theorem for constrained surface diffusion flows ⋮ Short time existence for higher order curvature flows with and without boundary conditions

Cites Work

• On the motion of a phase interface by surface diffusion
• The mixed volume preserving mean curvature flow
• Removability of point singularities of Willmore surfaces
• Gradient flow for the Willmore functional
• The surface area preserving mean curvature flow
• Mixed volume preserving curvature flows
• Evolution D'une Interface par diffusion de surface
• The Surface Diffusion Flow for Immersed Hypersurfaces
• The Cahn–Hilliard equation with a concentration dependent mobility: motion by minus the Laplacian of the mean curvature

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