frontcascade
Science Score: 54.0%
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○Scientific vocabulary similarity
Low similarity (4.3%) to scientific vocabulary
Repository
Basic Info
- Host: GitHub
- Owner: Bastian-Hilder
- License: gpl-3.0
- Language: MATLAB
- Default Branch: main
- Size: 10.7 MB
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- Watchers: 1
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Metadata Files
README.md
Linear convective stability of a front superposition with unstable connecting state
In this repository, you will find the Matlab code that has generated the numerical plots used in the article "Linear convective stability of a front superposition with unstable connecting state" by Louis Garénaux and Bastian Hilder. The preprint can be found at arXiv:2503.09522.
Abstract
We study convective stability of a two-front superposition in a reaction-diffusion system. Due to the instability of the connecting equilibrium, long-range semi-strong interaction is expected between the two waves. When restricting to the linear dynamic, we indeed identify that convective stability of superposed waves occurs for fewer propagation speeds than for the corresponding single waves. It reflects the interaction that monostable waves have over long distances. Our method relies on numerical range estimates, that imply time-uniform resolvent bounds.
Owner
- Login: Bastian-Hilder
- Kind: user
- Company: Lund University
- Website: https://sites.google.com/view/bastian-hilder/
- Repositories: 1
- Profile: https://github.com/Bastian-Hilder
Postdoctoral fellow at Centre for Mathematical Sciences, Lund University. Interested in Partial Differential Equations, Dynamical Systems, Pattern-formation
Citation (CITATION.cff)
# This CITATION.cff file was generated with cffinit.
# Visit https://bit.ly/cffinit to generate yours today!
cff-version: 1.2.0
title: >-
Data availability for ``Linear convective stability of a front superposition with unstable connecting state''
message: >-
If you use this dataset, please cite it using the metadata
from this file.
type: dataset
authors:
- given-names: Louis
family-names: Garénaux
email: louis.garenaux@kit.edu
- given-names: Bastian
family-names: Hilder
email: bastian.hilder@tum.de
identifiers:
- type: url
value: >-
https://github.com/Bastian-Hilder/FrontCascade
repository-code: >-
https://github.com/Bastian-Hilder/FrontCascade
license: GPL-3.0
version: '1.0'
date-released: '2023-08-23'
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