Uniform decay rates of coupled anisotropic elastodynamic/Maxwell equations with nonlinear damping
type: Item
instance of: scholarly article
title: Uniform decay rates of coupled anisotropic elastodynamic/Maxwell equations with nonlinear damping
zbMATH Open document ID: 1219.35299
DOI: 10.4171/PM/1889
author: Cleverson Roberto Da Luz
author: G. Perla Menzala
published in: Portugaliae Mathematica. Nova Série
publication date: 2011-07-22T00:00:00Z
review text: Summary: This work is devoted to study the asymptotic behavior of the total energy associated with a coupled system of anisotropic hyperbolic models: the elastodynamic equations and Maxwell's system in the exterior of a bounded body in \(\mathbb{R}^3\). Our main result says that in the presence of nonlinear damping, a unique solution of small initial data exists globally in time and the total energy as well as higher order energies decay at a uniform rate as \(t \rightarrow + \infty\).
Mathematics Subject Classification ID: 35Q60
Mathematics Subject Classification ID: 35Q99
Mathematics Subject Classification ID: 35L99
zbMATH DE Number: 5931046
zbMATH Keywords: anisotropic Maxwell equations
zbMATH Keywords: anisotropic elastodynamic models
zbMATH Keywords: exterior domains
zbMATH Keywords: nonlinearly damped system
zbMATH Keywords: asymptotic behavior
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 5931046