Global Existence for the Generalized Two-Component Hunter–Saxton System

@article{Wu2012GlobalEF,
  title={Global Existence for the Generalized Two-Component Hunter–Saxton System},
  author={Hao Tse Wu and Marcus Wunsch},
  journal={Journal of Mathematical Fluid Mechanics},
  year={2012},
  volume={14},
  pages={455-469}
}
We study the global existence of solutions to a two-component generalized Hunter–Saxton system in the periodic setting. We first prove a persistence result for the solutions. Then for some particular choices of the parameters (α, κ), we show the precise blow-up scenarios and the existence of global solutions to the generalized Hunter–Saxton system under proper assumptions on the initial data. This significantly improves recent results. 

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