Stable Transition Layers to Singularly Perturbed Spatially Inhomogeneous Allen-Cahn Equation

DOI10.1515/ans-2015-0205zbMath1335.35133OpenAlexW2517444200MaRDI QIDQ5499615

Arnaldo Simal do Nascimento, Maicon Sônego

Publication date: 30 July 2015

Published in: Advanced Nonlinear Studies (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ans-2015-0205

zbMATH Keywords

reaction-diffusion equations\(\Gamma\)-convergence

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) Variational methods applied to PDEs (35A15) Pattern formations in context of PDEs (35B36)

Related Items (3)

Stable equilibria of a singularly perturbed reaction-diffusion equation when the roots of the degenerate equation contact or intersect along a non-smooth hypersurface ⋮ Stable transition layers in an unbalanced bistable equation ⋮ Patterns in a balanced bistable equation with heterogeneous environments on surfaces of revolution

Cites Work

• Transition layer for the heterogeneous Allen-Cahn equation

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