Motion of spirals by crystalline curvature

DOI10.1051/m2an:1999164zbMath0944.34041OpenAlexW2058672682MaRDI QIDQ4702147

Naoyuki Ishimura, Hitoshi Imai, Takeo K. Ushijima

Publication date: 8 February 2000

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/197602

zbMATH Keywords

uniquenesslocal existencesolutioncurvatureevolution equationskinematic energies

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Stefan problems, phase changes, etc. (80A22) Analysis of microstructure in solids (74N15) Qualitative investigation and simulation of ordinary differential equation models (34C60) Crystals in solids (74N05)

Related Items (5)

Crystalline motion of spiral-shaped polygonal curves with a tip motion ⋮ A crystalline motion of spiral-shaped curves with symmetry ⋮ The crystalline dynamics of spiral-shaped curves ⋮ On spiral solutions to generalized crystalline motion with a rotating tip motion ⋮ A level set approach reflecting sheet structure with single auxiliary function for evolving spirals on crystal surfaces

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