Work

Stability of asymptotic waves in the Fisher–Stefan equation

Year: 2024

Type: article

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. • Spectral, linear and nonlinear stability of asymptotic waves in the Fisher–Stefan equation. • Stability analysis is in terms of the limiting equations. • We use a dynamical systems approach and compute the Maslov index of the travelling waves.

Source: Physica D Nonlinear Phenomena

DOI: 10.1016/j.physd.2024.134383

Authors: T.T.H. Bui, P. van Heijster, R. Marangell

Institutions: The University of Sydney, Wageningen University & Research

Language: English

Topic: Nonlinear Dynamics and Pattern Formation

Subfield: Computer Networks and Communications

Field: Computer Science

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,370

Funder: Australian Research Council