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One-dimensional global attractor for strongly damped wave equations

โœ Scribed by Hongyan Li; Shengfan Zhou

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
181 KB
Volume
12
Category
Article
ISSN
1007-5704

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โœฆ Synopsis

We consider the dynamical behavior of the strongly damped wave equations under homogeneous Neumann boundary condition. By the property of limit set of asymptotic autonomous differential equations, we prove that in certain parameter region, the system has a one-dimensional global attractor, which is a periodic horizontal curve.

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