PreprintCC BY-ND 4.0HAL
Travelling waves in nonlocal reaction-dispersion equations with diffuse Lévy measures
Abstract
In this paper, we focus on the existence of travelling fronts for nonlocal reaction-dispersion models. Our aim is to provide a unified existence proof in a very broad framework using simple real analysis tools. In particular, we review the existing literature and fill in the gaps. It appears that the central case is the bistable nonlinearity, which we then extend to other classical nonlinearities.
Related
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BibTeX
@misc{bouin2026travelling,
title = {{Travelling waves in nonlocal reaction-dispersion equations with diffuse Lévy measures}},
author = {Emeric Bouin and Jérôme Coville},
howpublished = {HAL},
year = {2026},
month = sep,
eprint = {2503.20381},
archivePrefix = {arXiv},
url = {https://hal.science/hal-05004408v2},
note = {CC BY-ND 4.0},
}
RIS
TY - UNPB
TI - Travelling waves in nonlocal reaction-dispersion equations with diffuse Lévy measures
AU - Emeric Bouin
AU - Jérôme Coville
PY - 2026
DA - 2026/09/08
PB - HAL
UR - https://hal.science/hal-05004408v2
AB - In this paper, we focus on the existence of travelling fronts for nonlocal reaction-dispersion models. Our aim is to provide a unified existence proof in a very broad framework using simple real analysis tools. In particular, we review the existing literature and fill in the gaps. It appears that the central case is the bistable nonlinearity, which we then extend to other classical nonlinearities.
ER -