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 sol...

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Veröffentlicht in:Applied mathematics & optimization 2006-06, Vol.54 (1), p.117-130
Hauptverfasser: Valente, Vanda, Caffarelli, Giorgio Vergara
Format: Artikel
Sprache:eng
Schlagworte:
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
HAMILTON-JACOBI EQUATIONS
Hypotheses
Mathematical analysis
MATHEMATICAL EVOLUTION
Mathematical models
MATHEMATICAL SOLUTIONS
NONLINEAR PROBLEMS
Studies
THIN FILMS
VISCOSITY
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Zusammenfassung: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. [PUBLICATION ABSTRACT]
ISSN:0095-4616
1432-0606
DOI:10.1007/s00245-006-0854-5