Viscosity solution of the Hamilton-Jacobi equation arising from a thin film blistering model

被引：0

作者：

Valente, Vanda

Caffarelli, Giorgio Vergara

机构：

[1] Ist Applicaz Calcolo M Picone, I-00161 Rome, Italy

[2] Univ Roma La Sapienza, Dipartimento MeMoMat, I-00161 Rome, Italy

来源：

APPLIED MATHEMATICS AND OPTIMIZATION | 2006年 / 54卷 / 01期

关键词：

thin film delamination; viscosity solution;

D O I：

10.1007/s00245-006-0854-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

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收藏

页码：117 / 130

页数：14

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