On the Isoperimetric Inequality and Surface Diffusion Flow for Multiply Winding Curves

Tatsuya Miura, Shinya Okabe

研究成果: Article査読

抄録

In this paper we establish a general form of the isoperimetric inequality for immersed closed curves (possibly non-convex) in the plane under rotational symmetry. As an application, we obtain a global existence result for the surface diffusion flow, providing that an initial curve is H2-close to a multiply covered circle and is sufficiently rotationally symmetric.

本文言語English
ジャーナルArchive for Rational Mechanics and Analysis
DOI
出版ステータスAccepted/In press - 2020

ASJC Scopus subject areas

  • Analysis
  • Mathematics (miscellaneous)
  • Mechanical Engineering

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