On the isoperimetric inequality and surface diffusion flow for multiply winding curves

19 Sep 2019  ·  Miura Tatsuya, Okabe Shinya ·

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 $H^2$-close to a multiply covered circle and sufficiently rotationally symmetric...

PDF Abstract
No code implementations yet. Submit your code now


Differential Geometry Analysis of PDEs