The surface diffusion flow with elasticity in three dimensions

2018/10/25 by Fusco, Nicola, Julin, Vesa, Morini, Massimiliano
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1810.10749

Abstract

We establish short-time existence of a smooth solution to the surface diffusion equation with an elastic term and without an additional curvature regularization in three space dimensions. We also prove the asymptotic stability of strictly stable stationary sets.

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