Global dissipative solutions of the two-component Camassa-Holm system for initial data with nonvanishing asymptotics
arXiv:1301.1445 · doi:10.1016/j.nonrwa.2013.12.001
Abstract
We show existence of a global weak dissipative solution of the Cauchy problem for the two-component Camassa-Holm (2CH) system on the line with nonvanishing and distinct spatial asymptotics. The influence from the second component in the 2CH system on the regularity of the solution, and, in particular, the consequences for wave breaking, is discussed. Furthermore, the interplay between dissipative and conservative solutions is treated.
arXiv admin note: text overlap with arXiv:1111.3188
References in corpus (2)
Cited by in corpus (9)
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