Construction and stability analysis of transition layer solutions in reaction-diffusion systems
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Publication:920276
DOI10.2748/TMJ/1178227692zbMath0708.35006OpenAlexW1998106866MaRDI QIDQ920276
Publication date: 1990
Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2748/tmj/1178227692
Stability in context of PDEs (35B35) Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) Spectral theory and eigenvalue problems for partial differential equations (35P99)
Related Items (18)
Point condensation generated by a reaction-diffusion system in axially symmetric domains ⋮ Phase transition layers for Fife-Greenlee problem on smooth bounded domain ⋮ A remark on singular perturbation methods via the Lyapunov-Schmidt reduction ⋮ Instability of all regular stationary solutions to reaction-diffusion-ODE systems ⋮ Connectivity of boundaries by clustering phase transition layers of Fife-Greenlee problem on smooth bounded domain ⋮ Stability and characteristic wavelength of planar interfaces in the large diffusion limit of the inhibitor ⋮ Heteroclinic bifurcation and singularly perturbed boundary value problems ⋮ Construction and asymptotic stability of structurally stable internal layer solutions ⋮ Reduction approach to the dynamics of interacting front solutions in a bistable reaction-diffusion system and its application to heterogeneous media ⋮ Transition layer for the heterogeneous Allen-Cahn equation ⋮ Phase transition layers with boundary intersection for an inhomogeneous Allen-Cahn equation ⋮ Existence and stability of transition layers ⋮ Instability of Turing patterns in reaction-diffusion-ODE systems ⋮ Internal layers in high-dimensional domains ⋮ Coexistence of two interfaces for an anisotropic Fife-Greenlee equation ⋮ Solutions with transition layer and spike in an inhomogeneous phase transition model ⋮ Multiple internal layer solutions generated by spatially oscillatory perturbations ⋮ Stability characteristics of transition layer solutions
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- Existence and stability of transition layers
- Multiple Solutions of Two-Point Boundary Value Problems of Neumann Type with a Small Parameter
- Global Structure of Bifurcating Solutions of Some Reaction-Diffusion Systems
- Large Time Behavior of Solutions of Systems of Nonlinear Reaction-Diffusion Equations
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