Well-posedness and blow-up phenomena for the 2-component Camassa-Holm equation
Well-posedness and blow-up phenomena for the 2-component Camassa-Holm equation
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DOI：
10.3934/dcds.2007.19.493
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发表时间：
2007-07
影响因子：
1.1
通讯作者：
Z. Yin;O. Lechtenfeld;J. Escher
中科院分区：
文献类型：
--
作者：
Z. Yin;O. Lechtenfeld;J. Escher
在讨论了可能的零曲率公式之后，我们首先建立了二分量Camassa-Holm方程的局部适定性。然后导出了系统强解的精确爆破场景。最后给出了系统强解的两个爆破结果。
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.