Abstract
We first establish local well-posedness for a periodic 2-component Camassa–Holm equation. We then present two global existence results for strong solutions to the equation. We finally obtain several blow-up results and the blow-up rate of strong solutions to the equation.
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Communicated by Adrian Constantin.
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Hu, Q., Yin, Z. Global existence and blow-up phenomena for a periodic 2-component Camassa–Holm equation. Monatsh Math 165, 217–235 (2012). https://doi.org/10.1007/s00605-011-0293-5
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DOI: https://doi.org/10.1007/s00605-011-0293-5