Asymptotic stability of traveling waves in a discrete convolution model for phase transitions

DOI10.1016/j.jmaa.2005.01.011zbMath1095.34047OpenAlexW1980697671MaRDI QIDQ557874

Yongrui Duan, Shiwang Ma

Publication date: 30 June 2005

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.2005.01.011

zbMATH Keywords

comparison principleasymptotic stabilitytraveling wave frontdiscrete convolution model

Mathematics Subject Classification ID

Functional-differential equations in abstract spaces (34K30) Stability theory of functional-differential equations (34K20) Phase transitions (general) in equilibrium statistical mechanics (82B26) Qualitative investigation and simulation of models involving functional-differential equations (34K60)

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Cites Work

• Nonlocality of reaction-diffusion equations induced by delay: biological modeling and nonlinear dynamics
• Existence and asymptotic stability of traveling waves of discrete quasilinear monostable equations
• The approach of solutions of nonlinear diffusion equations to travelling front solutions
• Traveling waves in lattice dynamical systems
• Traveling waves in a convolution model for phase transitions
• Existence, uniqueness, and asymptotic stability of traveling waves in nonlocal evolution equations
• A discrete convolution model for phase transitions
• Existence, uniqueness and stability of travelling waves in a discrete reaction --- diffusion monostable equation with delay
• Existence, uniqueness and asymptotic stability of traveling wavefronts in a non-local delayed diffusion equation
• Travelling waves for delayed reaction–diffusion equations with global response
• Global Asymptotic Stability of Traveling Waves in Delayed Reaction-Diffusion Equations

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