Stability of semi-trivial wavefronts in reaction-diffusion systems

DOI10.1016/j.jmaa.2020.124658zbMath1458.35046OpenAlexW3090169851MaRDI QIDQ1995728

Chueh-Hsin Chang, Tzi-Sheng Yang

Publication date: 25 February 2021

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2020.124658

zbMATH Keywords

asymptotic stabilityFisher-type wavessemi-trivial traveling wavefront

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) Estimates of eigenvalues in context of PDEs (35P15) Traveling wave solutions (35C07)

Cites Work

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• The evolution of slow dispersal rates: a reaction diffusion model
• Geometric theory of semilinear parabolic equations
• On the nonlinear dynamics of travelling fronts
• On the nonlinear diffusion equation of Kolmogorov-Petrovskii-Piskunov type
• On the stability of waves of nonlinear parabolic systems
• Dichotomies in stability theory
• The behavior of solutions of some non-linear diffusion equations for large time
• Travelling wave solutions for the spread of farmers into a region occupied by hunter-gatherers
• Construction of the Leray-Schauder degree for elliptic operators in unbounded domains
• Spectral and dynamical stability of nonlinear waves
• Linearized Stability of Extreme Shock Profiles in Systems of Conservation Laws with Viscosity
• Convergence of solutions of the Kolmogorov equation to travelling waves
• A Note on the Asymptotic Behavior of Solutions of the KPP Equation
• Local stability of critical fronts in nonlinear parabolic partial differential equations
• Front Propagation in Heterogeneous Media
• Eigenvalues, and instabilities of solitary waves
• Nonlinear Convective Instability of Turing‐Unstable Fronts near Onset: A Case Study

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