Geodesic
Cauchy problem for a generalized weakly dissipative periodic two-component Camassa-Holm system
Electronic Journal of Differential Equations, Tome 2014 (2014).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: In this article, we study a generalized weakly dissipative periodic two-component Camassa-Holm system. We show that this system can exhibit the wave-breaking phenomenon and determine the exact blow-up rate of strong solution to the system. In addition, we establish a sufficient condition for having a global solution.
Classification : 35B44, 35B30, 35G25
Keywords: 35B44, 35B30, 35G25 
@article{EJDE_2014__2014__a39,
     author = {Chen, Wenxia and Tian, Lixin and Deng, Xiaoyan},
     title = {Cauchy problem for a generalized weakly dissipative periodic two-component {Camassa-Holm} system},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2014},
     year = {2014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2014__2014__a39/}
}
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Chen, Wenxia; Tian, Lixin; Deng, Xiaoyan. Cauchy problem for a generalized weakly dissipative periodic two-component Camassa-Holm system. Electronic Journal of Differential Equations, Tome 2014 (2014). http://geodesic.mathdoc.fr/item/EJDE_2014__2014__a39/