Details
| Original language | English |
|---|---|
| Pages (from-to) | 493-513 |
| Number of pages | 21 |
| Journal | Discrete and Continuous Dynamical Systems |
| Volume | 19 |
| Issue number | 3 |
| Publication status | Published - Nov 2007 |
Abstract
After some remarks on a possible zero-curvature formulation we first establish local well-posedness for the 2-component Camassa-Holm equation. Then precise blow-up scenarios for strong solutions to the system are derived. Finally we present two blow-up results for strong solutions to the system.
Keywords
- Blow-up phenomena, Local well-posedness, Strong solutions, The 2-component Camass-Holm equation
ASJC Scopus subject areas
- Mathematics(all)
- Analysis
- Mathematics(all)
- Discrete Mathematics and Combinatorics
- Mathematics(all)
- Applied Mathematics
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In: Discrete and Continuous Dynamical Systems, Vol. 19, No. 3, 11.2007, p. 493-513.
Research output: Contribution to journal › Conference article › Research › peer review
}
TY - JOUR
T1 - Well-posedness and blow-up phenomena for the 2-component Camassa-Holm equation
AU - Escher, Joachim
AU - Lechtenfeld, Olaf
AU - Yin, Zhaoyang
PY - 2007/11
Y1 - 2007/11
N2 - After some remarks on a possible zero-curvature formulation we first establish local well-posedness for the 2-component Camassa-Holm equation. Then precise blow-up scenarios for strong solutions to the system are derived. Finally we present two blow-up results for strong solutions to the system.
AB - After some remarks on a possible zero-curvature formulation we first establish local well-posedness for the 2-component Camassa-Holm equation. Then precise blow-up scenarios for strong solutions to the system are derived. Finally we present two blow-up results for strong solutions to the system.
KW - Blow-up phenomena
KW - Local well-posedness
KW - Strong solutions
KW - The 2-component Camass-Holm equation
UR - http://www.scopus.com/inward/record.url?scp=37349112214&partnerID=8YFLogxK
U2 - 10.3934/dcds.2007.19.493
DO - 10.3934/dcds.2007.19.493
M3 - Conference article
AN - SCOPUS:37349112214
VL - 19
SP - 493
EP - 513
JO - Discrete and Continuous Dynamical Systems
JF - Discrete and Continuous Dynamical Systems
SN - 1078-0947
IS - 3
ER -