Journal of Applied Mathematics (Jan 2012)

On the Blow-Up of Solutions of a Weakly Dissipative Modified Two-Component Periodic Camassa-Holm System

  • Yongsheng Mi,
  • Chunlai Mu,
  • Weian Tao

DOI
https://doi.org/10.1155/2012/197672
Journal volume & issue
Vol. 2012

Abstract

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We study the Cauchy problem of a weakly dissipative modified two-component periodic Camassa-Holm equation. We first establish the local well-posedness result. Then we derive the precise blow-up scenario and the blow-up rate for strong solutions to the system. Finally, we present two blow-up results for strong solutions to the system.