JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2015, Vol. 50 ›› Issue (05): 55-59.doi: 10.6040/j.issn.1671-9352.0.2014.275

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Blow-up of a weakly dissipative μ-Hunter-Saxton equation

LÜ Hong-jie, LIU Jing-jing, QI Jing, LIU Shuo   

  1. Department of Mathematics and Information Science, Zhengzhou University of Light Industry, Zhengzhou 450002, Henan, China
  • Received:2014-06-16 Online:2015-05-20 Published:2015-05-29

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Abstract: We study the Cauchy problem of the weakly dissipative μ-Hunter-Saxton equation. The present work is mainly concerned with blow-up phenomena of the equation. We first present a new blow-up result for strong solutions to the equation. Then, we drive the precise blow-up rate for strong solutions to the equation.

Key words: blow-up, strong solution, a weakly dissipative μ-Hunter-Saxton equation

CLC Number: 

  • O175.29
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