This short paper will be devoted to propagation phenomena for a general reaction-diffusion equation, i.e. when it may admit an arbitrarily large number of stationary states. Large time propagation can no longer be described by a single front, but by a family of several stacked fronts (or "propagating terrace") involving intermediate transient equilibria. We will review several strategies, differing in their range of application (homo- or heterogeneous, one- or multi-dimensional, semi- or non-linear equations...), to handle such dynamics.
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Thomas Giletti (2024) studied this question.
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