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The global attractors for the dissipative generalized Hasegawa-Mima equation

The global attractors for the dissipative generalized Hasegawa-Mima equation The long time behavior of solutions of the generalized Hasegawa-Mima equation with dissipation term is considered. The existence of global attractors of the periodic initial value problem is proved, and the estimate of the upper bound of the Hausdorff and fractal dimensions for the global attractors is obtained by means of uniform a priori estimates method. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Mathematicae Applicatae Sinica Springer Journals

The global attractors for the dissipative generalized Hasegawa-Mima equation

Acta Mathematicae Applicatae Sinica , Volume 24 (1) – Mar 13, 2008

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Publisher
Springer Journals
Copyright
Copyright © 2008 by Springer-Verlag
Subject
Mathematics; Applications of Mathematics; Math Applications in Computer Science; Theoretical, Mathematical and Computational Physics
ISSN
0168-9673
eISSN
1618-3932
DOI
10.1007/s10255-004-4131-9
Publisher site
See Article on Publisher Site

Abstract

The long time behavior of solutions of the generalized Hasegawa-Mima equation with dissipation term is considered. The existence of global attractors of the periodic initial value problem is proved, and the estimate of the upper bound of the Hausdorff and fractal dimensions for the global attractors is obtained by means of uniform a priori estimates method.

Journal

Acta Mathematicae Applicatae SinicaSpringer Journals

Published: Mar 13, 2008

References