On the Global Dissipative and Multipeakon Dissipative Behavior of the Two-Component Camassa-Holm System
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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.
2013 ◽
Vol 2013
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pp. 1-11
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2011 ◽
Vol 260
(4)
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pp. 1132-1154
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2010 ◽
Vol 11
(5)
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pp. 4164-4173
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2005 ◽
Vol 114
(4)
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pp. 395-411
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2011 ◽
Vol 251
(12)
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pp. 3558-3582
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2016 ◽
Vol 260
(12)
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pp. 8403-8427
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2011 ◽
Vol 52
(3)
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pp. 033507
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2019 ◽
Vol 267
(4)
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pp. 2531-2559
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