Selection mechanisms in front invasion

Fuente: arXiv
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Main Authors: Avery, Montie, Holzer, Matt, Scheel, Arnd
Format: Preprint
Published: 2025
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author Avery, Montie
Holzer, Matt
Scheel, Arnd
author_facet Avery, Montie
Holzer, Matt
Scheel, Arnd
contents We review progress on questions related to front propagation into unstable states and point out open problems in the area. We strive to highlight different theoretical perspectives and challenges while also addressing more practical questions with examples and guides to computational methods. Throughout we take a dynamical systems point of view that focuses on the ability of invasion processes to act as a selection mechanism in complex systems.
format Preprint
id arxiv_https___arxiv_org_abs_2512_07764
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Selection mechanisms in front invasion
Avery, Montie
Holzer, Matt
Scheel, Arnd
Analysis of PDEs
Dynamical Systems
Pattern Formation and Solitons
We review progress on questions related to front propagation into unstable states and point out open problems in the area. We strive to highlight different theoretical perspectives and challenges while also addressing more practical questions with examples and guides to computational methods. Throughout we take a dynamical systems point of view that focuses on the ability of invasion processes to act as a selection mechanism in complex systems.
title Selection mechanisms in front invasion
topic Analysis of PDEs
Dynamical Systems
Pattern Formation and Solitons
url https://arxiv.org/abs/2512.07764