On Polarization Dynamics in Ferroelectric Materials

被引：0

作者：

Aouragh, M. Driss ^{[1
]}

Hadda, M. ^{[1
,2
]}

Tilioua, M. ^{[1
]}

机构：

[1] FST Errachidia, MAMCS Grp, Lab M2I, POB 509 Boutalamine, Errachidia 52000, Morocco

[2] EST Meknes, POB 3103, Meknes 50000, Morocco

来源：

DIFFERENTIAL AND DIFFERENCE EQUATIONS WITH APPLICATIONS, ICDDEA 2015 | 2016年 / 164卷

关键词：

Ferroelectrics; Polarization dynamics; Maxwell system; Global existence; Uniqueness; Long-time behaviour; MAXWELL EQUATIONS; GLOBAL EXISTENCE; SYSTEMS;

D O I：

10.1007/978-3-319-32857-7_25

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider a mathematical model describing polarization dynamics in ferroelectric material. The model consists of a Maxwell system for electromagnetic field coupled with a second-order time-dependent equation for the evolution of polarization. We study the long-time behaviour of weak solutions and prove that all points of the omega-limit set of any trajectories are solutions of the stationary model.

引用

页码：265 / 272

页数：8

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