On the validity of formal asymptotic expansions in Allen-Cahn equation and FitzHugh-Nagumo system with generic initial data

DOI10.3934/DCDSB.2012.17.1639zbMath1250.35124arXiv1111.3540OpenAlexW2963964174MaRDI QIDQ449259

Matthieu Alfaro, Hiroshi Matano

Publication date: 12 September 2012

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.3540

zbMATH Keywords

reaction-diffusion systemfront profilevalidity of the principal term

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) Asymptotic expansions of solutions to PDEs (35C20) Free boundary problems for PDEs (35R35) Semilinear parabolic equations (35K58) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (5)

HUMAN MODULATED HEART RATE VARIABILITY SIGNAL IN SPORTS USING MULTIFRACTAL ANALYSIS ⋮ Generation and Motion of Interfaces in a Mass-Conserving Reaction-Diffusion System ⋮ Singular limit of an Allen-Cahn equation with nonlinear diffusion ⋮ Validity of Formal Asymptotic Expansions for Singularly Perturbed Competition-Diffusion Systems ⋮ Front propagation in geometric and phase field models of stratified media

This page was built for publication: On the validity of formal asymptotic expansions in Allen-Cahn equation and FitzHugh-Nagumo system with generic initial data