Singular perturbation and bifurcation of diffuse transition layers in inhomogeneous media. II

DOI10.3934/nhm.2015.10.897zbMath1323.35004OpenAlexW4255187713MaRDI QIDQ887721

Nung Kwan Yip, Chaoqun Huang

Publication date: 27 October 2015

Published in: Networks and Heterogeneous Media (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/nhm.2015.10.897

zbMATH Keywords

singular perturbation(imperfect) pitchfork bifurcationdegenerate spatial inhomogeneityreduced (bifurcation) equation

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) Singular perturbations of ordinary differential equations (34D15) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Bifurcations in context of PDEs (35B32) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Cites Work

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• Critical spectrum and stability of interfaces for a class of reaction-diffusion equations
• A remark on singular perturbation methods via the Lyapunov-Schmidt reduction
• Singular perturbation and bifurcation of diffuse transition layers in inhomogeneous media. I.
• Heteroclinic and homoclinic bifurcations in bistable reaction diffusion systems
• Existence and stability of transition layers
• Global Structure of Bifurcating Solutions of Some Reaction-Diffusion Systems
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• Singular Perturbations of Bifurcations
• Global bifurcation phenomena of travelling wave solutions for some bistable reaction-diffusion systems
• Internal layers intersecting the boundary of domain in the Allen-Cahn equation

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