Front propagation for a two-dimensional periodic monostable lattice dynamical system

Jong Shenq Guo*, Chang-Hong Wu

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

9 Scopus citations

Abstract

We study the traveling wave front solutions for a two-dimensional periodic lattice dynamical system with monostable nonlinearity. We first show that there is a minimal speed such that a traveling wave solution exists if and only if its speed is above this minimal speed. Then we prove that any wave profile is strictly monotone. Finally, we derive the convergence of discretized minimal speed to the continuous minimal speed.

Original languageEnglish
Pages (from-to)197-223
Number of pages27
JournalDiscrete and Continuous Dynamical Systems
Volume26
Issue number1
DOIs
StatePublished - 1 Jan 2010

Keywords

  • Lattice dynamical system
  • Monostable
  • Traveling wave
  • Wave profile
  • Wave speed

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