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The Cauchy Problem for a Weakly Dissipative 2-Component Camassa-Holm System
Joint Authors
Yang, Han
Wu, Yong Hong
Ming, Sen
Source
Mathematical Problems in Engineering
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-02-03
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
The weakly dissipative 2-component Camassa-Holm system is considered.
A local well-posedness for the system in Besov spaces is established by using the Littlewood-Paley theory and a priori estimates for the solutions of transport equation.
The wave-breaking mechanisms and the exact blow-up rate of strong solutions to the system are presented.
Moreover, a global existence result for strong solutions is derived.
American Psychological Association (APA)
Ming, Sen& Yang, Han& Wu, Yong Hong. 2014. The Cauchy Problem for a Weakly Dissipative 2-Component Camassa-Holm System. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-16.
https://search.emarefa.net/detail/BIM-499173
Modern Language Association (MLA)
Ming, Sen…[et al.]. The Cauchy Problem for a Weakly Dissipative 2-Component Camassa-Holm System. Mathematical Problems in Engineering No. 2014 (2014), pp.1-16.
https://search.emarefa.net/detail/BIM-499173
American Medical Association (AMA)
Ming, Sen& Yang, Han& Wu, Yong Hong. The Cauchy Problem for a Weakly Dissipative 2-Component Camassa-Holm System. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-16.
https://search.emarefa.net/detail/BIM-499173
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-499173