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

Civil Engineering

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