Abstract
Several inequalities for the isoperimetric ratio for plane curves are derived. In particular, we obtain interpolation inequalities between the deviation of curvature and the isoperimetric ratio. As applications, we study the long-time behavior of some geometric flows of closed plane curves without a convexity assumption.
Citation
Takeyuki Nagasawa. Kohei Nakamura. "Interpolation inequalities between the deviation of curvature and the isoperimetric ratio with applications to geometric flows." Adv. Differential Equations 24 (9/10) 581 - 608, September/October 2019. https://doi.org/10.57262/ade/1565661673
