Stopping a reaction-diffusion front.

@article{Caputo2020StoppingAR,
  title={Stopping a reaction-diffusion front.},
  author={J. G. Caputo and Gustavo Cruz-Pacheco and Beno{\^i}t Sarels},
  journal={Physical review. E},
  year={2020},
  volume={103 3-1},
  pages={
          032210
        }
}
We revisit the problem of pinning a reaction-diffusion front by a defect, in particular by a reaction-free region. Using collective variables for the front and numerical simulations, we compare the behaviors of a bistable and monostable front. A bistable front can be pinned as confirmed by a pinning criterion, the analysis of the time independent problem, and simulations. Conversely, a monostable front can never be pinned, it gives rise to a secondary pulse past the defect and we calculate the… 
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