Multiple internal layer solutions generated by spatially oscillatory perturbations
From MaRDI portal
Publication:1293945
DOI10.1006/jdeq.1998.3566zbMath0978.35019OpenAlexW1964731411MaRDI QIDQ1293945
Publication date: 29 June 1999
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/f485e8acc8868157d61fdc7b9154c1895e1dd687
Stability in context of PDEs (35B35) Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57)
Related Items
Stable transition layers in a semilinear diffusion equation with spatial inhomogeneities in \(N\)-dimensional domains ⋮ Necessity of internal and boundary bulk balance law for existence of interfaces for an elliptic system with nonlinear boundary condition ⋮ Construction and asymptotic stability of structurally stable internal layer solutions ⋮ Slow eigenvalues of self-similar solutions of the Dafermos regularization of a system of conservation laws: an analytic approach ⋮ The step-type contrast structure for high dimensional Tikhonov system with Neumann boundary conditions ⋮ Chaotic traveling wave solutions in coupled Chua's circuits ⋮ SINGULARLY PERTURBED PERIODIC PARABOLIC EQUATIONS WITH ALTERNATING BOUNDARY LAYER TYPE SOLUTIONS IN SPATIALLY TWO-DIMENSIONAL DOMAINS
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Fast and slow waves in the FitzHugh-Nagumo equation
- Heteroclinic bifurcation and singularly perturbed boundary value problems
- Construction and stability analysis of transition layer solutions in reaction-diffusion systems
- Singular perturbation approach to traveling waves in competing and diffusing species models
- Stable transition layers in a semilinear boundary value problem
- Dynamical systems. C.I.M.E. Lectures, Bressanone, Italy, June 1978
- Asymptotic behavior and stability of solutions of semilinear diffusion equations
- Geometric singular perturbation theory for ordinary differential equations
- Boundary and interior transition layer phenomena for pairs of second- order differential equations
- Dichotomies in stability theory
- \(S\)-shaped bifurcation of a singularly perturbed boundary value problem
- Tracking invariant manifolds with differential forms in singularly perturbed systems
- Slow-motion manifolds, dormant instability, and singular perturbations
- Exponential dichotomies and transversal homoclinic points
- Shadowing matching errors for wave-front-like solutions
- Heteroclinic and homoclinic bifurcations in bistable reaction diffusion systems
- Construction and asymptotic stability of structurally stable internal layer solutions
- Using Melnikov's method to solve Silnikov's problems
- Stability of Singularly Perturbed Solutions to Systems of Reaction-Diffusion Equations
- Existence and stability of transition layers
- Multiple Solutions of Two-Point Boundary Value Problems of Neumann Type with a Small Parameter
- Shadowing Lemma and Singularly Perturbed Boundary Value Problems
- Global bifurcation phenomena of travelling wave solutions for some bistable reaction-diffusion systems
- Explanation of spurt for a non-Newtonian fluid by a diffusion term
- Invariant Manifolds and Singularly Perturbed Boundary Value Problems
- The chemical basis of morphogenesis
- Metastable patterns in solutions of ut = ϵ2uxx − f(u)
- The generation and propagation of internal layers
- Asymptotic Expansion for Layer Solutions of a Singularly Perturbed Reaction-Diffusion System