Motion of polygonal curved fronts by crystalline motion: V-shaped solutions and eventual monotonicity

zbMath1306.74039MaRDI QIDQ2257883

Tetsuya Ishiwata

Publication date: 2 March 2015

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: http://aimsciences.org/journals/displayPaperPro.jsp?paperID=7048

zbMATH Keywords

polygonal curveseventual monotonicitymotion by cristalline curvature

Mathematics Subject Classification ID

Geometric methods in ordinary differential equations (34A26) Nonlinear ordinary differential equations and systems (34A34) Statistical mechanics of crystals (82D25) Discrete version of topics in analysis (39A12) Curves in Euclidean and related spaces (53A04) Crystals in solids (74N05)

Related Items (5)

Crystalline motion of spiral-shaped polygonal curves with a tip motion ⋮ A fast blow-up solution and degenerate pinching arising in an anisotropic crystalline motion ⋮ Motion by crystalline-like mean curvature: A survey ⋮ On spiral solutions to generalized crystalline motion with a rotating tip motion ⋮ Crystalline flow starting from a general polygon

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