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On the motion of polygonal curves with asymptotic lines by crystalline curvature flow with bulk effect

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  • The behavior of polygonal curves with asymptotic lines to crystalline motion with the bulk effect is discussed. We show sufficient conditions for global existence of the solutions and characterize facet-extinction patterns. We also show the eventual monotonicity of shape of the solution curves, that is, the solutions become V-shaped in finite time.
    Mathematics Subject Classification: Primary: 34A34, 39A12, 74N05; Secondary: 53A04, 34A26.


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