Stability of spheres under volume-preserving mean curvature flow

DOI10.4310/DPDE.2010.v7.n4.a3zbMath1219.35132OpenAlexW2320729070MaRDI QIDQ536113

Dimitra Antonopoulou, Georgia Karali, Israel Michael Sigal

Publication date: 16 May 2011

Published in: Dynamics of Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/dpde.2010.v7.n4.a3

zbMATH Keywords

orthogonal decompositionmanifold of Euclidean spheres

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Stability in context of PDEs (35B35) Hyperbolicity, Lyapunov functions for infinite-dimensional dissipative dynamical systems (37L45) Quasilinear parabolic equations with mean curvature operator (35K93)

Related Items (6)

Adiabatic theory for the area-constrained Willmore flow ⋮ Volume preserving mean curvature flow for star-shaped sets ⋮ The existence of a weak solution to volume preserving mean curvature flow in higher dimensions ⋮ Stability of the ball under volume preserving fractional mean curvature flow ⋮ A variational method for multiphase volume-preserving interface motions ⋮ The effective dynamics of the volume preserving mean curvature flow

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