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Quarterly of Applied Mathematics
  
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On the global weak solution to a generalized two-component Camassa-Holm system


Authors: Wenke Tan, Yue Liu and Zhaoyang Yin
Journal: Quart. Appl. Math. 71 (2013), 661-677
MSC (2010): Primary 35D30, 35G25, 35A01
Published electronically: August 28, 2013
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Abstract: Considered herein is a generalized two-component Camassa-Holm system modeling the shallow water waves moving over a linear shear flow. The existence of the global weak solutions to the generalized two-component Camassa-Holm system is established and the solution is obtained as a limit of approximate global strong solutions.


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Additional Information

Wenke Tan
Affiliation: Department of Mathematics, Sun Yat-sen University, Guangzhou 510275, People’s Republic of China
Email: tanwenkezyq@163.com

Yue Liu
Affiliation: Department of Mathematics, University of Texas, Arlington, Texas 76019-0408
Email: yliu@uta.edu

Zhaoyang Yin
Affiliation: Department of Mathematics, Sun Yat-sen University, Guangzhou 510275, People’s Republic of China
Email: mcsyzy@mail.sysu.edu.cn

DOI: http://dx.doi.org/10.1090/S0033-569X-2013-01303-3
PII: S 0033-569X(2013)01303-3
Keywords: Two-component Camassa-Holm system, global weak solution
Received by editor(s): October 7, 2011
Published electronically: August 28, 2013
Article copyright: © Copyright 2013 Brown University
The copyright for this article reverts to public domain 28 years after publication.



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