Motion of elastic thin films by anisotropic surface diffusion with curvature regularization.

Nicola Fusco

(Dipartimento di Matematica e Applicazioni "R. Caccioppoli", Napoli)

Event: ERC Workshop on Existence and Regularity for Nonlinear Systems of Partial Differential Equations

Date: Jun 30, 2014, time: 15:00

Abstract. Short time existence for a surface diffusion evolution equation with curvature regularization is proved in the context of epitaxially strained three-dimensional films. This is achieved by implementing a minimizing movement scheme, which is hinged on the \(H^{-1}-gradient\) flow structure underpinning the evolution law. Long-time behavior and Liapunov stability in the case of initial data close to a flat configuration are also addressed.