Well-posedness and blow-up phenomena for the 2-component Camassa-Holm equation - Concepedia

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Well-posedness and blow-up phenomena for the 2-component Camassa-Holm equation

DOI Full Paper Access

295

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0

References

2007

Year

Joachim Escher, Olaf Lechtenfeld, Zhaoyang Yin

Discrete and Continuous Dynamical Systems

PhysicsPrecise Blow-up ScenariosNonlinear Wave PropagationNonlinear Hyperbolic ProblemIntegrable SystemStrong SolutionsBlow-up PhenomenaBlow-up Results

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.