Asymptotic Expansion for Layer Solutions of a Singularly Perturbed Reaction-Diffusion System
From MaRDI portal
Publication:4875719
DOI10.1090/S0002-9947-96-01542-5zbMath0852.35012arXivpatt-sol/9403002OpenAlexW1550089668MaRDI QIDQ4875719
Publication date: 9 December 1996
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/patt-sol/9403002
Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) Asymptotic expansions of solutions to PDEs (35C20)
Related Items
Nonsmooth regular perturbations of singularly perturbed problems, Construction and asymptotic stability of structurally stable internal layer solutions, Multiple internal layer solutions generated by spatially oscillatory perturbations, Boundary layer solutions to singularly perturbed quasilinear systems
Cites Work
- Heteroclinic bifurcation and singularly perturbed boundary value problems
- On the abstract Cauchy problem of parabolic type in spaces of continuous functions
- Heteroclinic orbits for retarded functional differential equations
- Stable transition layers in a semilinear boundary value problem
- On the evolution operator for abstract parabolic equations
- An example of bifurcation to homoclinic orbits
- Equations d'évolution abstraites non linéaires de type parabolique
- Slow motion for the Cahn-Hilliard equation in one space dimension
- Weighted norms for the stability of traveling waves
- On the stability of waves of nonlinear parabolic systems
- Tracking invariant manifolds with differential forms in singularly perturbed systems
- Slow-motion manifolds, dormant instability, and singular perturbations
- Exponential dichotomies and transversal homoclinic points
- Diffusive waves in inhomogeneous media
- Stability of the Travelling Wave Solution of the Fitzhugh-Nagumo System
- Stability of Singularly Perturbed Solutions to Systems of Reaction-Diffusion Equations
- Existence and stability of transition layers
- Shadowing Lemma and Singularly Perturbed Boundary Value Problems
- Metastable patterns in solutions of ut = ϵ2uxx − f(u)
- The generation and propagation of internal layers
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item