5 citations · 6 across the 4 of their papers we have counts for
4 papers
Asymptotic analysis for non-local curvature flows for plane curves with a general rotation number
Takeyuki Nagasawa, Kohei Nakamura
Several non-local curvature flows for plane curves with a general rotation number are discussed in this work. The types of flows include the area-preserving flow and the length-pre…
Large-time behavior of the -gradient flow of length for closed plane curves
Kohei Nakamura
We consider the -gradient flow of length for closed plane curves. This flow is a generalization of curve diffusion flow. We investigate the large-time behavior assuming the…
An application of interpolation inequalities between the deviation of curvature and the isoperimetric ratio to the length-preserving flow
Kohei Nakamura
In recent work of Nagasawa and the author, new interpolation inequalities between the deviation of curvature and the isoperimetric ratio were proved. In this paper, we apply such e…
Interpolation inequalities between the deviation of curvature and the isoperimetric ratio with applications to geometric flows
Takeyuki Nagasawa, Kohei Nakamura
Several inequalities for the isoperimetric ratio for plane curves are derived. In particular, we obtain interpolation inequalities between the deviation of curvature and the isoper…