Journal of East China Normal University(Natural Sc

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

XU Hong-mei, XU Wei   

  1. College of Science, Hohai University, Nanjing 211100, China
  • Received:2015-10-23 Online:2016-11-25 Published:2017-01-13

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