The Location and Stability of Interface Solutions of an Inhomogeneous Parabolic Problem

DOI10.1137/S0036139997326491zbMath0983.35015OpenAlexW2061614177MaRDI QIDQ2706086

Li-Chin Yeh, John Norbury

Publication date: 19 March 2001

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036139997326491

zbMATH Keywords

Neumann boundary conditionreaction-diffusion equationsinterface shape and motion

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Singular perturbations in context of PDEs (35B25) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

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Multi-layered stationary solutions for a spatially inhomogeneous Allen--Cahn equation. ⋮ Variational problems with singular perturbation ⋮ Stable transition layer induced by degeneracy of the spatial inhomogeneities in the Allen-Cahn problem ⋮ A singularly perturbed reaction-diffusion problem with inhomogeneous environment. ⋮ Multiple stable patterns in a balanced bistable equation with heterogeneous environments ⋮ A shooting approach to layers and chaos in a forced Duffing equation

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