Stable transition layers in a semilinear diffusion equation with spatial inhomogeneities in \(N\)-dimensional domains
From MaRDI portal
Publication:1874482
DOI10.1016/S0022-0396(02)00147-XzbMath1019.35008MaRDI QIDQ1874482
Publication date: 25 May 2003
Published in: Journal of Differential Equations (Search for Journal in Brave)
Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Singular perturbations in context of PDEs (35B25)
Related Items (18)
Boundary layer and spike layer solutions for a bistable elliptic problem with generalized boundary conditions ⋮ Stable transition layers in a balanced bistable equation with degeneracy ⋮ Phase transition layers for Fife-Greenlee problem on smooth bounded domain ⋮ Clustering of boundary interfaces for an inhomogeneous Allen-Cahn equation on a smooth bounded domain ⋮ Connectivity of boundaries by clustering phase transition layers of Fife-Greenlee problem on smooth bounded domain ⋮ Interior interfaces with (or without) boundary intersection for an anisotropic Allen-Cahn equation ⋮ Locations of interior transition layers to inhomogeneous transition problems in higher -dimensional domains ⋮ Nonlinear singularly perturbed predator-prey reaction diffusion systems ⋮ Transition layer for the heterogeneous Allen-Cahn equation ⋮ Phase transition layers with boundary intersection for an inhomogeneous Allen-Cahn equation ⋮ Stable equilibria of a singularly perturbed reaction-diffusion equation when the roots of the degenerate equation contact or intersect along a non-smooth hypersurface ⋮ Asymptotic solution for a class of weakly nonlinear singularly perturbed reaction diffusion problem ⋮ Multiple stable patterns in a balanced bistable equation with heterogeneous environments ⋮ Asymptotic behavior of solution for a class of reaction diffusion equations ⋮ Stable transition layers in an unbalanced bistable equation ⋮ The nonlinear nonlocal singularly perturbed problems for reaction diffusion equations with a boundary perturbation ⋮ Solutions with transition layer and spike in an inhomogeneous phase transition model ⋮ A nonlinear singularly perturbed problem for reaction diffusion equations with boundary perturbation
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Stable transition layers in a semilinear boundary value problem
- Multiple internal layer solutions generated by spatially oscillatory perturbations
- On the role of diffusivity in some stable equilibria of a diffusion equation
- Stability in a semilinear boundary value problem via invariant conefields
- Convergence of phase interfaces in the van der Waals-Cahn-Hilliard theory.
- Change of variables for absolutely continuous functions
- Stable Equilibria in a Scalar Parabolic Equation with Variable Diffusion
- Elliptic Problems Involving Phase Boundaries Satisfying a Curvature Condition
- On the Singular Limit for a Cass of Problems Modelling Phase Transitions
- Existence and stability of transition layers
- Layers With Nonsmooth Interface in a Semilinear Elliptic Problem
- INTERIOR TRANSITION LAYERS FOR ELLIPTIC BOUNDARY VALUE PROBLEMS WITH A SMALL PARAMETER
- Stable stationary solutions induced by spatial inhomogeneity via ?-convergence
- On the convergence of stable phase transitions
- Uniform convergence of a singular perturbation problem
- Inner transition layers in an elliptic boundary value problem: a necessary condition
This page was built for publication: Stable transition layers in a semilinear diffusion equation with spatial inhomogeneities in \(N\)-dimensional domains