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
DOI:
https://doi.org/10.1090/S0033-569X-2013-01303-3
Published electronically:
August 28, 2013
MathSciNet review:
3136989
Full-text PDF Free Access
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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.
References
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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
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.
