Existence of solutions to a one-dimensional model of bounded piezoelectric material

被引：0

作者：

Hamroun, Djamila ^{[1
]}

机构：

[1] Univ Sci & Technol Houari Boumediene, Fac Math, Lab AMNEDP, Bab Ezzouar 16111, Alger, Algeria

来源：

PORTUGALIAE MATHEMATICA | 2009年 / 66卷 / 03期

关键词：

Piezoelectric materials; heat equation; wave equation; fixed point theorem;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the dynamic of piezoelectric bodies with switchable domains, described by a coupling of an hyperbolic equation and a parabolic one. We consider the one dimensional case and prove local existence of solutions.

引用

页码：329 / 346

页数：18

共 8 条

[1]

[Anonymous], 1998, GRADUATE STUD MATH

[2]

[Anonymous], 1934, Ann. Sci. cole Norm. Sup

[3]

[Anonymous], 1997, MATH SURVEYS MONOGR

[4]

BREZIS H, 1983, COLLECTION MATH APPL

[5]

DAVI F, 1999, APPL MECH AM, V7, P671

[6] Local solutions to a model of piezoelectric materials [J].

Hamdache, K ;

Hamroun, D .

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2004, 27 (14) :1657-1670

[7]

LIONS JL, 1961, GRUNDLEHREN MATH WIS, V111

[8]

Taylor M.E., 1996, Texts in Applied Mathematics, V23

← 1 →