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Blow-Up Analysis for the Periodic Two-Component μ -Hunter-Saxton System

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  • Yunxi Guo
  • Tingjian Xiong

Abstract

The two-component -Hunter-Saxton system is considered in the spatially periodic setting. Firstly, a wave-breaking criterion is derived by employing the localization analysis of the transport equation theory. Secondly, several sufficient conditions of the blow-up solutions are established by using the classic method. The results obtained in this paper are new and different from those in previous works.

Suggested Citation

  • Yunxi Guo & Tingjian Xiong, 2018. "Blow-Up Analysis for the Periodic Two-Component μ -Hunter-Saxton System," Mathematical Problems in Engineering, Hindawi, vol. 2018, pages 1-11, September.
    • Handle: RePEc:hin:jnlmpe:5374180
    DOI: 10.1155/2018/5374180
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