Local solutions to a model of piezoelectric materials

被引：1

作者：

Hamdache, K ^{[1
]}

Hamroun, D

机构：

[1] Ecole Polytech, CMAP, CNRS, UMR 7641,Ctr Math Appl, F-91128 Palaiseau, France

[2] USTHB, Fac Math, Algiers, Algeria

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2004年 / 27卷 / 14期

关键词：

piezoelectric materials; heat equation; wave equation;

D O I：

10.1002/mma.519

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A local existence theorem is proved for a non-linear coupled system modelling the electromechanical motion of a one-dimensional piezoelectric body with domain switching. The system is composed by a heat equation describing the behaviour of the number of electric dipoles and by a wave equation governing the dynamic of the electric displacement. The main coupling in the system appears in the time-dependent velocity of the waves depending on the number of electric dipoles. The proof of the result relies on a time decay estimate satisfied by the number of electric dipoles and an uniform estimate of the solution of the regularized wave equation. Copyright (C) 2004 John Wiley Sons, Ltd.

引用

页码：1657 / 1670

页数：14

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