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FJ-LMI Seminar
Seminar information archive ～05/01｜Next seminar｜Future seminars 05/02～
| Organizer(s) | Toshiyuki Kobayashi, Michael Pevzner |
|---|
2024/11/01
14:00-15:00 Room #126 (Graduate School of Math. Sci. Bldg.)
Thomas GILETTI (Université Clermont-Auvergne)
Propagating behaviour of solutions of multistable reaction-diffusion equations (英語)
https://fj-lmi.cnrs.fr/seminars/
Thomas GILETTI (Université Clermont-Auvergne)
Propagating behaviour of solutions of multistable reaction-diffusion equations (英語)
[ Abstract ]
This talk will be devoted to propagation phenomena for a general scalar reaction-diffusion PDE, when it may admit an arbitrarily large number of stationary states. It is well known that, in some simple cases, special travelling front solutions (depending on a single variable moving with a constant speed) arise in the large time behaviour of solutions. Due to this feature, reaction-diffusion equations have become ubiquituous in the modelling of spatial invasions in ecology, population dynamics and biology. However, in general, large time propagation can no longer be described by a single front, but by a family of several successive fronts (or `propagating terrace') involving intermediate transient equilibria. I will review several methods, including a connection with Sturm-Liouville theory, to handle such dynamics.
[ Reference URL ]This talk will be devoted to propagation phenomena for a general scalar reaction-diffusion PDE, when it may admit an arbitrarily large number of stationary states. It is well known that, in some simple cases, special travelling front solutions (depending on a single variable moving with a constant speed) arise in the large time behaviour of solutions. Due to this feature, reaction-diffusion equations have become ubiquituous in the modelling of spatial invasions in ecology, population dynamics and biology. However, in general, large time propagation can no longer be described by a single front, but by a family of several successive fronts (or `propagating terrace') involving intermediate transient equilibria. I will review several methods, including a connection with Sturm-Liouville theory, to handle such dynamics.
https://fj-lmi.cnrs.fr/seminars/
