Curve Flows with a Global Forcing Term

نویسندگان

چکیده

Abstract We consider embedded, smooth curves in the plane which are either closed or asymptotic to two lines. study their behaviour under curve shortening flow with a global forcing term. prove an analogue Huisken’s distance comparison principle for initial whose local total curvature does not lie below $$-\pi $$ - π and show that this condition is sharp. With that, we can exclude singularities finite time bounded terms. For immortal flows of terms provide non-vanishing enclosed area length, convexity exponential convergence circle. In particular, all above holds preserving flow.

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ژورنال

عنوان ژورنال: Journal of Geometric Analysis

سال: 2021

ISSN: ['1559-002X', '1050-6926']

DOI: https://doi.org/10.1007/s12220-020-00600-1