The surface diffusion flow with elasticity in three dimensions

2018/10/25 by Nicola Fusco, Fusco, Nicola, Vesa Julin +3
Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP

paper · pdf · doi:10.48550/arxiv.1810.10749

arxiv created 2018/10/25 · arxiv updated 2018/10/26

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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