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Dimension of the global attractor for discretization of damped sine-Gordon equation

✍ Scribed by Shengfan Zhou

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
235 KB
Volume
12
Category
Article
ISSN
0893-9659

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✦ Synopsis

A more precise estimate on the dimension of the global attractor for discretization of damped sine-Gordon equation with the periodic boundary condition is obtained. The gained Hauedorif dimension remains small for large damping and is independent of the mesh sizes. (~) 1998 Elsevier Science Ltd. All rights reserved.

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