Global dissipative solutions of the two-component Camassa-Holm system for initial data with nonvanishing asymptotics
Journal article
Submitted version
Permanent lenke
http://hdl.handle.net/11250/2468487Utgivelsesdato
2014Metadata
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- Institutt for matematiske fag [2533]
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Originalversjon
Nonlinear Analysis: Real world applications. 2014, 17 (1), 203-244. 10.1016/j.nonrwa.2013.12.001Sammendrag
We show the 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.