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

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  • This paper deals with behavior of polygonal plane curves with two asymptotic lines by generalized crystalline curvature flow with a driving force. We show global existence of V-shaped solutions and investigate the deformation patterns of non-V-shaped solutions. We also show that non-V-shaped solutions become V-shaped in finite time.
    Mathematics Subject Classification: Primary: 34A34, 39A12, 74N05, ; Secondary: 53A04, 34A26.


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