Singularities in crystalline curvature flows

DOI10.4310/AJM.2002.v6.n1.a6zbMath1025.53038OpenAlexW1912970596MaRDI QIDQ700537

Ben Andrews

Publication date: 22 October 2002

Published in: The Asian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/ajm.2002.v6.n1.a6

zbMATH Keywords

asymptotic behaviorgeometric evolution equationssystems of ODEscrystalline curvature flow

Mathematics Subject Classification ID

Related Items (15)

A unified flow approach to smooth, even \(L_p\)-Minkowski problems ⋮ A fast blow-up solution and degenerate pinching arising in an anisotropic crystalline motion ⋮ Motion by crystalline-like mean curvature: A survey ⋮ NONUNIQUENESS FOR CRYSTALLINE CURVATURE FLOW ⋮ On the blow-up rate for fast blow-up solutions arising in an anisotropic crystalline motion. ⋮ On the number of solutions to the discrete two-dimensional \(L_{0}\)-Minkowski problem. ⋮ On the stability of the \(p\)-affine isoperimetric inequality ⋮ A numerical method of estimating blow-up rates for nonlinear evolution equations by using rescaling algorithm ⋮ Motion of non-convex polygons by crystalline curvature and almost convexity phenomena ⋮ Motion of nonadmissible convex polygons by crystalline curvature ⋮ Two examples of nonconvex self-similar solution curves for a crystalline curvature flow ⋮ Geometric treatments and a common mechanism in finite-time singularities for autonomous ODEs ⋮ The planar Busemann-Petty centroid inequality and its stability ⋮ Crystalline flow starting from a general polygon ⋮ Convergence of a three-dimensional crystalline motion to Gauss curvature flow

This page was built for publication: Singularities in crystalline curvature flows