Nonlinear stability results for the modified Mullins-Sekerka and the surface diffusion flow
Analysis of PDEs
2016-06-16 v1
Abstract
It is shown that any three-dimensional periodic configuration that is strictly stable for the area functional is exponentially stable for the surface diffusion flow and for the Mullins-Sekerka or Hele-Shaw flow. The same result holds for three-dimensional periodic configurations that are strictly stable with respect to the sharp-interface Ohta-Kawaski energy. In this case, they are exponentially stable for the so-called modified Mullins-Sekerka flow.
Cite
@article{arxiv.1606.04583,
title = {Nonlinear stability results for the modified Mullins-Sekerka and the surface diffusion flow},
author = {Emilio Acerbi and Nicola Fusco and Vesa Julin and Massimiliano Morini},
journal= {arXiv preprint arXiv:1606.04583},
year = {2016}
}