On the global dissipative and multipeakon dissipative behavior of the two-component Camassa-Holm system
Journal article, Peer reviewed
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http://hdl.handle.net/11250/273605Utgivelsesdato
2014Metadata
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Originalversjon
Wang, Y., Song, Y., & Karimi, H. R. (2014). On the global dissipative and multipeakon dissipative behavior of the two-component Camassa-Holm system. Abstract and Applied Analysis, 2014, 1-16. doi: 10.1155/2014/348695 10.1155/2014/348695Sammendrag
The global dissipative and multipeakon dissipative behavior of the two-component Camassa-Holm shallow water system after wave breaking was studied in this paper. The underlying approach is based on a skillfully defined characteristic and a set of newly introduced variables which transform the original system into a Lagrangian semilinear system. It is the transformation, together with the associated properties, that allows for the continuity of the solution beyond collision time to be established, leading to a uniquely global dissipative solution, which constructs a semigroup, and the multipeakon dissipative solution.
Beskrivelse
Published version of an article in the journal: Abstract and Applied Analysis. Also available from the publisher at: http://dx.doi.org/10.1155/2014/348695 Open Access