Facet bending driven by the planar crystalline curvature with a generic nonuniform forcing term

DOI10.1016/j.jde.2009.01.009zbMath1183.53061OpenAlexW2147573183MaRDI QIDQ1011470

Yoshikazu Giga, Piotr Rybka

Publication date: 8 April 2009

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

Full work available at URL: http://hdl.handle.net/2115/69698

zbMATH Keywords

bent rectanglesdriving termBerg's effectcrystalline driven curvature flow

Mathematics Subject Classification ID

Related Items (7)

A fast blow-up solution and degenerate pinching arising in an anisotropic crystalline motion ⋮ Crystalline evolutions in chessboard-like microstructures ⋮ A comparison principle for singular diffusion equations with spatially inhomogeneous driving force for graphs ⋮ Viscosity solutions for the crystalline mean curvature flow with a nonuniform driving force term ⋮ Periodic total variation flow of non-divergence type in \(\mathbb R^n\) ⋮ Bent rectangles as viscosity solutions over a circle ⋮ Very singular diffusion equations: second and fourth order problems

Cites Work

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• On a crystalline variational problem. II: \(BV\) regularity and structure of minimizers on facets
• On a crystalline variational problem. I: First variation and global \(L^\infty\) regularity
• On the motion by singular interfacial energy
• Characterization of facet breaking for nonsmooth mean curvature flow in the convex case

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