Well-posedness and blow-up phenomena for the 2-component Camassa-Holm equation
Joachim Escher - Institute for Applied Mathematics, Leibniz University of Hanover, D-30167 Hanover, Germany (email)
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: The 2-component Camass-Holm equation, local well-posedness, strong solutions, blow-up phenomena.
Received: April 2007; Revised: June 2007; Available Online: July 2007.
2015 Impact Factor1.127