6533b862fe1ef96bd12c6d9f
RESEARCH PRODUCT
On the global dissipative and multipeakon dissipative behavior of the two-component Camassa-Holm system
Yongduan SongHamid Reza KarimiYujuan Wangsubject
Article SubjectSemigroupComponent (thermodynamics)lcsh:MathematicsApplied MathematicsBreaking waveDissipative operatorAnalysis; Applied Mathematicslcsh:QA1-939CollisionVDP::Mathematics and natural science: 400::Mathematics: 410::Analysis: 411Dissipative solitonClassical mechanicsTransformation (function)Dissipative systemAnalysisMathematicsdescription
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 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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2014-01-01 |