The dynamics of a one-dimensional parabolic problem versus the dynamics of its discretization

被引：7
|
作者：
Bruschi, SM
Carvalho, AN
Ruas, JG
机构：
[1] UNESP, Dept Matemat, IGCE, BR-13506700 Rio Claro, SP, Brazil
[2] USP, Dept Matemat, ICMC, BR-13560970 Sao Carlos, SP, Brazil
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2000年 / 168卷 / 01期
基金：
巴西圣保罗研究基金会;
关键词：
parabolic equations; spatial discretization; topological equivalence of attractors;
D O I：
10.1006/jdeq.2000.3878
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we prove that the spatial discretization of a one dimensional system of parabolic equations. with suitably small step size, contains exactly the same asymptotic dynamics as the continuous problem. (C) 2000 Academic Press.
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页码：67 / 92
页数：26
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