Generalized travelling waves for reaction-diffusion equations

  title={Generalized travelling waves for reaction-diffusion equations},
  author={Henri Berestycki and François Hamel},
In this paper, we introduce a generalization of travelling waves for evolution equations. We are especially interested in reaction-diffusion equations and systems in heterogeneous media (with general operators and general geometry). Our goal is threefold. First we give several definitions, for transition waves, fronts, pulses, global mean speed of propagation, etc. Next, we discuss the meaning of these definitions in various contexts. Then, we report on several results of [4] (of which this is… CONTINUE READING