Nonlinear stability of shock-fronted travelling waves in reaction-nonlinear diffusion equations

Reaction-nonlinear diffusion PDEs can be derived as continuum limits of stochastic models for biological and ecological invasion. We numerically investigate the nonlinear stability of shock-fronted travelling waves arising in these RND PDEs, in the presence of a fourth-order spatial derivative multi...

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Bibliographic Details

Published in:	Physica. D Vol. 460; p. 134069
Main Authors:	Lizarraga, Ian, Marangell, Robert
Format:	Journal Article
Language:	English
Published:	Elsevier B.V 01.04.2024
Subjects:	Geometric singular perturbation theory Riccati–Evans functions Shock-fronted travelling waves Stability theory for travelling waves Geometric singular perturbation theory Riccati–Evans functions Stability theory for travelling waves Shock-fronted travelling waves
ISSN:	0167-2789, 1872-8022
Online Access:	Get full text
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