Viscosity Solution of the Hamilton-Jacobi Equation Arising from a Thin Film Blistering Model

Viscosity Solution of the Hamilton-Jacobi Equation Arising from a Thin Film Blistering Model The paper deals with a dynamical nonlinear model describing the self-driven delamination of compressed thin films. Some assumptions on the buckled shape allow us to describe the moving boundary of the film by a single Hamilton-Jacobi equation. We prove the existence and uniqueness of a viscosity solution to the associated evolution problem. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Applied Mathematics and Optimization Springer Journals

Viscosity Solution of the Hamilton-Jacobi Equation Arising from a Thin Film Blistering Model

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Publisher
Springer-Verlag
Copyright
Copyright © 2006 by Springer
Subject
Mathematics; Systems Theory, Control; Calculus of Variations and Optimal Control; Optimization; Mathematical and Computational Physics; Mathematical Methods in Physics; Numerical and Computational Methods
ISSN
0095-4616
eISSN
1432-0606
D.O.I.
10.1007/s00245-006-0854-5
Publisher site
See Article on Publisher Site

Abstract

The paper deals with a dynamical nonlinear model describing the self-driven delamination of compressed thin films. Some assumptions on the buckled shape allow us to describe the moving boundary of the film by a single Hamilton-Jacobi equation. We prove the existence and uniqueness of a viscosity solution to the associated evolution problem.

Journal

Applied Mathematics and OptimizationSpringer Journals

Published: Jun 1, 2006

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