Decay rates for solutions of a Maxwell system with nonlinear boundary damping

被引：0

作者：

Eller, M. ^{[1
]}

Lagnese, J. E. ^{[1
]}

Nicaise, S. ^{[2
]}

机构：

[1] Georgetown Univ, Dept Math, Washington, DC 20057 USA

[2] Univ Valenciennes & Hainaut Cambresis, MACS, Inst Sci & Tech Valenciennes, F-59313 Valenciennes 9, France

来源：

COMPUTATIONAL & APPLIED MATHEMATICS | 2002年 / 21卷 / 01期

基金：

美国国家科学基金会;

关键词：

Maxwell system; energy decay rates; nonlinear Silver-Muller boundary condition;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The purpose of this paper is to obtain decay rates for the electromagnetic energy of solutions of a dynamic Maxwell system with spatially varying dielectric constant epsilon and magnetic permeability mu in a bounded, connected domain Omega. Dissipation is introduced into the system through a nonlinear Silver-Muller boundary condition. A general result on energy decay is proved when partial derivative Omega is an element of C-infinity and consists of a single connected component, and epsilon, mu are of class C-infinity((Omega) over bar) and satisfy a certain technical condition. Examples are provided that illustrate the general result and, in particular, it is shown how dissipative boundary conditions may be constructed that lead to a specified energy decay rate.

引用

页码：135 / 165

页数：31

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