Interaction and Stability of Traveling Waves for Lattice Dynamical System and Reaction-Diffusion Equations(2/3)

Project Details


This project is concerned with the interaction and stability of traveling wave solutions for lattice dynamical systems and reaction-diffusion equations. We plan to use the weighted energy estimate, comparison theorem, spectrum analysis and the technique of Evans function to study the stability problem of traveling wave solutions. In addition, we look for the existence and properties of different entire solutions originating from multiple traveling fronts, which can exhibit new characteristic behaviors in the front dynamics.
Effective start/end date1/08/1931/07/20


  • weighted energy estimate
  • comparison theorem
  • spectrum analysis
  • Evans function
  • entire solution


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