HOMOGENIZATION RESULTS FOR A NONLINEAR WAVE EQUATION IN A PERFORATED DOMAIN

被引：0

作者：

Timofte, Claudia ^{[1
]}

机构：

[1] Univ Bucharest, Fac Phys, Bucharest, Romania

来源：

UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS | 2010年 / 72卷 / 02期

关键词：

homogenization; wave equation; critical holes; POROUS-MEDIA; STRANGE TERM;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The effective behavior of the solution of a nonlinear wave equation in a periodic perforated domain is analyzed. We consider, at the microscale, a wave equation, with nonlinear sources and suitable initial and boundary conditions. We focus on the case in which the perforations are oldie so-called critical size and we prove that the solution of this problem converges, as the small parameter characterizing the size of the holes tench to zero, to the solution of a new problem, containing extra zero order terms. Our paper generalizes spine of the results contained in [3], by considering nonlinear sources.

引用

页码：85 / 92

页数：8

共 7 条

[1]

[Anonymous], PARTIAL DIFFERENTIAL

[2] Separation of scales and almost-periodic effects in the asymptotic behaviour of perforated periodic media [J].