Abstract
The stability of m-fold circles in the curve shortening problem (CSP) is studied in this paper. It turns out that a suitable perturbation of m-fold circle will shrink to a point asymptotically like an m-fold circle under the curve shortening flow.
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Wang, XL. The stability of m-fold circles in the curve shortening problem. manuscripta math. 134, 493–511 (2011). https://doi.org/10.1007/s00229-010-0410-0
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DOI: https://doi.org/10.1007/s00229-010-0410-0