journal6 ›› 2014, Vol. 35 ›› Issue (1): 15-19.DOI: 10.3969/j.issn.1007-2985.2014.01.005

• Mathematics • Previous Articles     Next Articles

Global Well-Posedness for the Fifth-Order Korteweg-deVries-Burgers Equation

 LIU  Yu-Huan   

  1. (Department of Mathematical and Physical Sciences,North China Electric Power University,Beijing 102206,China)
  • Online:2014-01-25 Published:2014-01-25

Abstract: Considering the Cauchy problem for the fifth-order Korteweg-de Vries-Burgers equation ut+uxxxxx+|x|2αu+(u2)x=0u(0)=,where 0<α≤2 and u is a real-valued function.It is globally well-posed in Hs(s>sα) by using Xb,s-theory and [k;Z]-multiplier method,when 0<α≤3/2,sα=-7/4;3/2<α≤2,sα=-1-α/2.

Key words: fifth-order KdV-B equation, local well-posedness, global well-posedness

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