Propagating fronts and terraces in multistable reaction-diffusion equations
Thomas Giletti1
1 LMBP, UMR 6620, Université Clermont-Auvergne, Campus des Cézeaux, 63177 Aubière Cedex - France
Journées équations aux dérivées partielles (2023), Talk no. 6, 15 p.

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.

Published online:
DOI: 10.5802/jedp.677
Thomas Giletti 1

1 LMBP, UMR 6620, Université Clermont-Auvergne, Campus des Cézeaux, 63177 Aubière Cedex - France 
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Thomas Giletti. Propagating fronts and terraces in multistable reaction-diffusion equations. Journées équations aux dérivées partielles (2023), Talk no. 6, 15 p. doi : 10.5802/jedp.677. https://proceedings.centre-mersenne.org/articles/10.5802/jedp.677/

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