Front propagation and blocking of reaction-diffusion systems in cylinders

Hongjun Guo, Jennifer Forbey, Rongsong Liu

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

In this paper, we consider a bistable monotone reaction-diffusion system in cylindrical domains. We first prove the existence of the entire solution emanating from a planar front. Then, it is proved that the entire solution converges to a planar front if the propagation is complete and the domain is bilaterally straight. Finally, we give some geometrical conditions on the domain such that the propagation of the entire solution is complete or incomplete, respectively.

Original languageEnglish
Pages (from-to)6750-6772
Number of pages23
JournalNonlinearity
Volume34
Issue number10
DOIs
StatePublished - Oct 2021

Keywords

  • complete propagation
  • entire solutions
  • incomplete propagation
  • reaction diffusion systems

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