Axisymmetric traveling fronts in balanced bistable reaction-diffusion equations

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7 Citations (Scopus)


For a balanced bistable reaction-diffusion equation, the existence of axisymmetric traveling fronts has been studied by Chen, Guo, Ninomiya, Hamel and Roquejoffre [4]. This paper gives another proof of the existence of axisymmetric traveling fronts. Our method is as follows. We use pyramidal traveling fronts for unbalanced reaction-diffusion equations, and take the balanced limit. Then we obtain axisymmetric traveling fronts in a balanced bistable reaction-diffusion equation. Since pyramidal traveling fronts have been studied in many equations or systems, our method might be applicable to study axisymmetric traveling fronts in these equations or systems.

Original languageEnglish
Pages (from-to)3981-3995
Number of pages15
JournalDiscrete and Continuous Dynamical Systems- Series A
Issue number6
Publication statusPublished - 2020


  • Axisymmetric
  • Balanced
  • Reaction-diffusion equation
  • Traveling front

ASJC Scopus subject areas

  • Analysis
  • Discrete Mathematics and Combinatorics
  • Applied Mathematics


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