Stability of asymptotic waves in the Fisher–Stefan equation

T.T.H. Bui; P. van Heijster; R. Marangell

doi:10.1016/j.physd.2024.134383

Stability of asymptotic waves in the Fisher–Stefan equation

T.T.H. Bui, P. van Heijster, R. Marangell^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › Academic › peer-review

Abstract

We establish spectral, linear, and nonlinear stability of the vanishing and slow-moving travelling waves that arise as time asymptotic solutions to the Fisher–Stefan equation. All stability analysis is in terms of the limiting equations that the asymptotic waves satisfy.

Original language	English
Article number	134383
Journal	Physica D: Nonlinear Phenomena
Volume	470
DOIs	https://doi.org/10.1016/j.physd.2024.134383
Publication status	Published - Dec 2024

Keywords

Fisher–Stefan equation
Nonlinear stability analysis

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10.1016/j.physd.2024.134383Licence: CC BY

https://edepot.wur.nl/675274Licence: CC BY

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title = "Stability of asymptotic waves in the Fisher–Stefan equation",

abstract = "We establish spectral, linear, and nonlinear stability of the vanishing and slow-moving travelling waves that arise as time asymptotic solutions to the Fisher–Stefan equation. All stability analysis is in terms of the limiting equations that the asymptotic waves satisfy.",

keywords = "Fisher–Stefan equation, Nonlinear stability analysis",

author = "T.T.H. Bui and {van Heijster}, P. and R. Marangell",

year = "2024",

month = dec,

doi = "10.1016/j.physd.2024.134383",

language = "English",

volume = "470",

journal = "Physica D: Nonlinear Phenomena",

issn = "0167-2789",

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T1 - Stability of asymptotic waves in the Fisher–Stefan equation

AU - Bui, T.T.H.

AU - van Heijster, P.

AU - Marangell, R.

PY - 2024/12

Y1 - 2024/12

N2 - We establish spectral, linear, and nonlinear stability of the vanishing and slow-moving travelling waves that arise as time asymptotic solutions to the Fisher–Stefan equation. All stability analysis is in terms of the limiting equations that the asymptotic waves satisfy.

AB - We establish spectral, linear, and nonlinear stability of the vanishing and slow-moving travelling waves that arise as time asymptotic solutions to the Fisher–Stefan equation. All stability analysis is in terms of the limiting equations that the asymptotic waves satisfy.

KW - Fisher–Stefan equation

KW - Nonlinear stability analysis

U2 - 10.1016/j.physd.2024.134383

DO - 10.1016/j.physd.2024.134383

M3 - Article

AN - SCOPUS:85205352370

SN - 0167-2789

VL - 470

JO - Physica D: Nonlinear Phenomena

JF - Physica D: Nonlinear Phenomena

M1 - 134383

ER -

Stability of asymptotic waves in the Fisher–Stefan equation

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Keywords

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