On the global dissipative and multipeakon dissipative behavior of the two-component Camassa-Holm system
type: Item
instance of: scholarly article
title: On the global dissipative and multipeakon dissipative behavior of the two-component Camassa-Holm system
zbMATH Open document ID: 1469.35192
DOI: 10.1155/2014/348695
author: Yujuan Wang
author: Hamid Reza Karimi
author: Yongduan Song
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 35C08
Mathematics Subject Classification ID: 35M31
zbMATH DE Number: 7022199
Wikidata QID: Q59036354
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/348695
OpenAlex ID: W2063871017
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description: scientific article; zbMATH DE number 7022199