Two-component higher order Camassa-Holm systems with fractional inertia operator: A geometric approach

Joachim Escher, Tony Lyons

Research output: Contribution to journalArticlepeer-review

13 Citations (Scopus)

Abstract

In the following we study the qualitative properties of solutions to the geodesic flow induced by a higher order two-component Camassa-Holm system. In particular, criteria to ensure the existence of temporally global solutions are presented. Moreover in the metric case, and for inertia operators of order higher than three, the flow is shown to be geodesically complete.

Original languageEnglish
Pages (from-to)281-293
Number of pages13
JournalJournal of Geometric Mechanics
Volume7
Issue number3
DOIs
Publication statusPublished - 01 Sep 2015
Externally publishedYes

Keywords

  • Diffeomorphism group
  • Geodesic flow
  • Global solutions

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