SEMINAIRE D'ANALYSE NUMERIQUE
Année universitaire 2014-2015
Jeudi 18 juin 2015 - 11h15:
Tomoro ASAI
(Hiroshima City University)
Self-similar solution for fourth order curvature flow equation (A problem with incompatible initial data)
Our study is the problem of the existence of the self-similar
solution for the surface diffusion flow in one-dimensional case with
nonlinear boundary conditions. This problem was proposed by W. W.
Mullins to describe the thermal grooving. Since the problem is
incompatible with the initial data we cannot apply the abstract theorem
on quasilinear theory.
In this talk, we show the existence of self-similar solution of the
differential form of the surface diffusion flow with linearized boundary
conditions. We use the idea of the maximal regularity results by Da
Prato--Grisvard and Angenent.
