Non-uniform dependence on initial data of a modified periodic two-component Camassa-Holm system

Non-uniform dependence on initial data of a modified periodic two-component Camassa-Holm system

This paper is concerned with some properties of a modified periodic two‐component Camassa‐Holm system. By constructing two sequences of solutions of the two‐component Camassa‐Holm system, we prove that the solution map of the Cauchy problem of the two‐component Camassa‐Holm system is not uniformly c...

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Veröffentlicht in:Zeitschrift für angewandte Mathematik und Mechanik 2015-05, Vol.95 (5), p.444-456
Hauptverfasser: Lv, G.-Y., Wang, X.-H.
Format: Artikel
Sprache:eng
Schlagworte:
Camassa-Holm system
Cauchy problem
Construction
Dependence
energy estimates
Fluid dynamics
Non-uniform dependence
Partial differential equations
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Zusammenfassung:This paper is concerned with some properties of a modified periodic two‐component Camassa‐Holm system. By constructing two sequences of solutions of the two‐component Camassa‐Holm system, we prove that the solution map of the Cauchy problem of the two‐component Camassa‐Holm system is not uniformly continuous in . This paper is concerned with some properties of a modified periodic two‐component Camassa‐Holm system. By constructing two sequences of solutions of the two‐component Camassa‐Holm system, the authors prove that the solution map of the Cauchyproblem of the two‐component Camassa‐Holm system is not uniformly continuous in
ISSN:0044-2267
1521-4001
DOI:10.1002/zamm.201300171