Journal of East China Normal University(Natural Science) >

2016 , Vol. 2016 >Issue 6: 71 - 76

DOI: https://doi.org/10.3969/j.issn.1000-5641.2016.06.007

Global existence and decay estimate of the solution for a BBM-Burgers equation without viscosity

  • XU Hong-mei ,
  • XU Wei
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  • College of Science, Hohai University, Nanjing 211100, China

Received date: 2015-10-23

  Online published: 2017-01-13

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Abstract

By constructing a Cauchy approximating sequence, we prove the local existence and give the decay estimate of the solution for a BBM-Burgers equation without viscosity. Using the variation of constant formula and the decay estimate of the fundamental solution, we obtain the global existence and decay estimate of solution of the system with small initial data.

Key words： BBM-Burgers equation; Cauchy problem; global existence of solution; decay estimate

Cite this article

XU Hong-mei , XU Wei . Global existence and decay estimate of the solution for a BBM-Burgers equation without viscosity[J]. Journal of East China Normal University(Natural Science), 2016 , 2016(6) : 71 -76 . DOI: 10.3969/j.issn.1000-5641.2016.06.007

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