Details
| Original language | English |
|---|---|
| Pages (from-to) | 281-293 |
| Number of pages | 13 |
| Journal | Journal of Geometric Mechanics |
| Volume | 7 |
| Issue number | 3 |
| Publication status | Published - 1 Sept 2015 |
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.
Keywords
- Diffeomorphism group, Geodesic flow, Global solutions
ASJC Scopus subject areas
- Engineering(all)
- Mechanics of Materials
- Mathematics(all)
- Geometry and Topology
- Mathematics(all)
- Control and Optimization
- Mathematics(all)
- Applied Mathematics
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In: Journal of Geometric Mechanics, Vol. 7, No. 3, 01.09.2015, p. 281-293.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Two-component higher order Camassa-Holm systems with fractional inertia operator
T2 - A geometric approach
AU - Escher, Joachim
AU - Lyons, Tony
PY - 2015/9/1
Y1 - 2015/9/1
N2 - 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.
AB - 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.
KW - Diffeomorphism group
KW - Geodesic flow
KW - Global solutions
UR - http://www.scopus.com/inward/record.url?scp=84938873440&partnerID=8YFLogxK
U2 - 10.3934/jgm.2015.7.281
DO - 10.3934/jgm.2015.7.281
M3 - Article
AN - SCOPUS:84938873440
VL - 7
SP - 281
EP - 293
JO - Journal of Geometric Mechanics
JF - Journal of Geometric Mechanics
SN - 1941-4889
IS - 3
ER -