Geodesic
Global dissipative solutions for the two-component Camassa-Holm shallow water system
Electronic journal of differential equations, Tome 2015 (2015)
This article presents a continuous semigroup of globally defined weak dissipative solutions for the two-component Camassa-Holm system. Such solutions are established by using a new approach based on characteristics a set of new variables overcoming the difficulties inherent in multi-component systems.
Classification : 35L05, 35L65, 35L51
Keywords: two-component Camassa-Holm system, global solutions, dissipative solutions 
@article{EJDE_2015__2015__a7,
     author = {Wang,  Yujuan and Song,  Yongduan},
     title = {Global dissipative solutions for the two-component {Camassa-Holm} shallow water system},
     journal = {Electronic journal of differential equations},
     year = {2015},
     volume = {2015},
     zbl = {1315.35125},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a7/}
}
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%A Song,  Yongduan
%T Global dissipative solutions for the two-component Camassa-Holm shallow water system
%J Electronic journal of differential equations
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%F EJDE_2015__2015__a7
Wang,  Yujuan; Song,  Yongduan. Global dissipative solutions for the two-component Camassa-Holm shallow water system. Electronic journal of differential equations, Tome 2015 (2015). http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a7/