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arxiv: 1103.1500 · v2 · pith:FWD2J3KRnew · submitted 2011-03-08 · 🧮 math.AP

Global existence and blow-up phenomena for a periodic 2-component Camassa-Holm equation with vorticity

classification 🧮 math.AP
keywords equationblow-upcamassa-holmcomponentexistenceglobalperiodicsolutions
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We first establish local well-posedness for a periodic 2-component Camassa-Holm equation with vorticity. We then present a global existence result 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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