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Regularity of the Attractor for the Dissipative Hamiltonian Amplitude Equation Governing Modulated Wave Instabilities

Regularity of the Attractor for the Dissipative Hamiltonian Amplitude Equation Governing... In the present paper, the existence of global attractor for dissipative Hamiltonian amplitude equation governing the modulated wave instabilities in E 0 is considered. By a decomposition of solution operator, it is shown that the global attractor in E 0 is actually equal to a global attractor in E 1. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Mathematicae Applicatae Sinica Springer Journals

Regularity of the Attractor for the Dissipative Hamiltonian Amplitude Equation Governing Modulated Wave Instabilities

Acta Mathematicae Applicatae Sinica , Volume 18 (2) – Jan 1, 2002

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Publisher
Springer Journals
Copyright
Copyright © 2002 by Springer-Verlag Berlin Heidelberg
Subject
Mathematics; Applications of Mathematics; Math Applications in Computer Science; Theoretical, Mathematical and Computational Physics
ISSN
0168-9673
eISSN
1618-3932
DOI
10.1007/s102550200025
Publisher site
See Article on Publisher Site

Abstract

In the present paper, the existence of global attractor for dissipative Hamiltonian amplitude equation governing the modulated wave instabilities in E 0 is considered. By a decomposition of solution operator, it is shown that the global attractor in E 0 is actually equal to a global attractor in E 1.

Journal

Acta Mathematicae Applicatae SinicaSpringer Journals

Published: Jan 1, 2002

References