On the blow-up rate for fast blow-up solutions arising in an anisotropic crystalline motion.

DOI10.1016/S0377-0427(03)00556-9zbMath1033.65055MaRDI QIDQ1410833

Shigetoshi Yazaki, Tetsuya Ishiwata

Publication date: 15 October 2003

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

blow-up solutionblow-up ratedegenerate pinchingcrystalline curvaturefinite difference operator

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Statistical mechanics of crystals (82D25) Numerical methods for initial value problems involving ordinary differential equations (65L05) Finite difference and finite volume methods for ordinary differential equations (65L12)

Related Items (6)

A fast blow-up solution and degenerate pinching arising in an anisotropic crystalline motion ⋮ 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 ⋮ Two examples of nonconvex self-similar solution curves for a crystalline curvature flow ⋮ Numerical method of estimating the blow-up time and rate of the solution of ordinary differential equations -- an application to the blow-up problems of partial differential equations ⋮ Geometric treatments and a common mechanism in finite-time singularities for autonomous ODEs

Cites Work

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• Point-extinction and geometric expansion of solutions to a crystalline motion

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