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.
@incollection{JEDP_2023____A6_0,
author = {Giletti, Thomas},
title = {Propagating fronts and terraces in multistable reaction-diffusion equations},
booktitle = {},
series = {Journ\'ees \'equations aux d\'eriv\'ees partielles},
note = {talk:6},
pages = {1--15},
publisher = {R\'eseau th\'ematique AEDP du CNRS},
year = {2023},
doi = {10.5802/jedp.677},
language = {en},
url = {https://www.numdam.org/articles/10.5802/jedp.677/}
}
TY - JOUR AU - Giletti, Thomas TI - Propagating fronts and terraces in multistable reaction-diffusion equations JO - Journées équations aux dérivées partielles N1 - talk:6 PY - 2023 SP - 1 EP - 15 PB - Réseau thématique AEDP du CNRS UR - https://www.numdam.org/articles/10.5802/jedp.677/ DO - 10.5802/jedp.677 LA - en ID - JEDP_2023____A6_0 ER -
%0 Journal Article %A Giletti, Thomas %T Propagating fronts and terraces in multistable reaction-diffusion equations %J Journées équations aux dérivées partielles %Z talk:6 %D 2023 %P 1-15 %I Réseau thématique AEDP du CNRS %U https://www.numdam.org/articles/10.5802/jedp.677/ %R 10.5802/jedp.677 %G en %F JEDP_2023____A6_0
Giletti, Thomas. 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
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