Journal of Applied Mathematics

On the Blow-Up of Solutions of a Weakly Dissipative Modified Two-Component Periodic Camassa-Holm System

Yongsheng Mi, Chunlai Mu, and Weian Tao

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Abstract

We study the Cauchy problem of a weakly dissipative modified two-component periodic Camassa-Holm equation. We first establish the local well-posedness result. Then we derive the precise blow-up scenario and the blow-up rate for strong solutions to the system. Finally, we present two blow-up results for strong solutions to the system.

Article information

Source
J. Appl. Math., Volume 2012 (2012), Article ID 197672, 20 pages.

Dates
First available in Project Euclid: 2 January 2013

Permanent link to this document
https://projecteuclid.org/euclid.jam/1357153515

Digital Object Identifier
doi:10.1155/2012/197672

Mathematical Reviews number (MathSciNet)
MR2979459

Zentralblatt MATH identifier
1251.35133

Citation

Mi, Yongsheng; Mu, Chunlai; Tao, Weian. On the Blow-Up of Solutions of a Weakly Dissipative Modified Two-Component Periodic Camassa-Holm System. J. Appl. Math. 2012 (2012), Article ID 197672, 20 pages. doi:10.1155/2012/197672. https://projecteuclid.org/euclid.jam/1357153515


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