Stability of asymptotic waves in the Fisher-Stefan equation

DOI10.1016/j.physd.2024.134383MaRDI QIDQ6650094

T. T. H. Bui, Peter van Heijster, Robert Marangell

Publication date: 6 December 2024

Published in: Physica D (Search for Journal in Brave)

zbMATH Keywords

nonlinear stability analysisFisher-Stefan equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Traveling wave solutions (35C07) Moving boundary problems for PDEs (35R37)

Cites Work

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• The Stefan problem for the Fisher-KPP equation
• Spreading and vanishing in nonlinear diffusion problems with free boundaries
• Numerical computation of an Evans function for travelling waves
• Geometric theory of semilinear parabolic equations
• Weighted norms for the stability of traveling waves
• Front propagation into unstable states
• Spreading speed revisited: analysis of a free boundary model
• Spectral and dynamical stability of nonlinear waves
• Invading and receding sharp-fronted travelling waves
• Spreading-Vanishing Dichotomy in the Diffusive Logistic Model with a Free Boundary
• Revisiting the Fisher–Kolmogorov–Petrovsky–Piskunov equation to interpret the spreading–extinction dichotomy
• Traveling waves, blow‐up, and extinction in the Fisher–Stefan model

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