Corpus ID: 85543072

Coupled reaction-diffusion equations on adjacent domains

  title={Coupled reaction-diffusion equations on adjacent domains},
  author={H. Berestycki and L. Rossi and A. Tellini},
  journal={arXiv: Analysis of PDEs},
We consider a reaction-diffusion system for two densities lying in adjacent domains of $\mathbb{R}^N$. We treat two configurations: either a cylinder and its complement, or two half-spaces. Diffusion and reaction heterogeneities for the two densities are considered, and an exchange occurs through the separating boundary. We study the long-time behavior of the solution, and, when it converges to a positive steady state, we prove the existence of an asymptotic speed of propagation in some… Expand
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