Global attractors for the plate equation with nonlocal nonlinearity in unbounded domains

被引：7

作者：

Arat, Zehra ^{[1
]}

Khanmamedov, Azer ^{[1
]}

Simsek, Sema ^{[1
]}

机构：

[1] Hacettepe Univ, Fac Sci, Dept Math, TR-06800 Ankara, Turkey

来源：

DYNAMICS OF PARTIAL DIFFERENTIAL EQUATIONS | 2014年 / 11卷 / 04期

关键词：

Plate equation; global attractor; VON-KARMAN EQUATIONS; LONG-TIME BEHAVIOR; CRITICAL EXPONENT; INTERIOR DISSIPATION; TRANSMISSION PROBLEM; WAVE-EQUATIONS; DYNAMICS; SYSTEM; MODEL;

D O I：

10.4310/DPDE.2014.v11.n4.a4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the initial value problem for the semilinear plate equation with nonlocal nonlinearity. We prove the existence of global attractor and then establish the regularity and finite dimensionality of this attractor.

引用

页码：361 / 379

页数：19

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