We discuss time existence for a surface diffusion evolution equation with curvature regularization in the context of epitaxially strained 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.
Motion of elastic thin films by anisotropic surface diffusion with curvature regularization. the 3D case / Fusco, Nicola. - (2014). (Intervento presentato al convegno Regularity theory for elliptic and parabolic and problems in continuum mechanics tenutosi a Telc (Repub. Ceca) nel 1-3 maggio 2014).
Motion of elastic thin films by anisotropic surface diffusion with curvature regularization. the 3D case
FUSCO, NICOLA
2014
Abstract
We discuss time existence for a surface diffusion evolution equation with curvature regularization in the context of epitaxially strained 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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
