Lyapunov stability of planar waves to the reaction-diffusion equation with a non-Lipschitzian reaction term

DOI10.1155/2021/7756150zbMath1479.35078OpenAlexW3205154155MaRDI QIDQ2052013

Soyeun Jung, Eunkyoung Ko

Publication date: 25 November 2021

Published in: Advances in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2021/7756150

zbMATH Keywords

sub- and supersolutions technique

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) Initial value problems for second-order parabolic equations (35K15) Traveling wave solutions (35C07)

Cites Work

• Unnamed Item
• New patterns of travelling waves in the generalized Fisher-Kolmogorov equation
• Stability of a traveling wave in curvature flows for spatially non-decaying initial perturbations
• A selection-migration model in population genetics
• The approach of solutions of nonlinear diffusion equations to travelling front solutions
• Mathematical biology. Vol. 1: An introduction.
• Analysis of logistic growth models
• Convergence to travelling waves in Fisher's population genetics model with a non-Lipschitzian reaction term
• Stability of Planar Waves in the Allen–Cahn Equation

This page was built for publication: Lyapunov stability of planar waves to the reaction-diffusion equation with a non-Lipschitzian reaction term