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

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

speaker: Nicola Fusco (Dipartimento di Matematica e Applicazioni "R. Caccioppoli", Napoli)

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.


timetable:
Mon 30 Jun, 15:00 - 15:50, Aula Dini
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