Exponentially slow motion of interface layers for the one-dimensional Allen-Cahn equation with nonlinear phase-dependent diffusivity

DOI10.1007/s00033-020-01362-0zbMath1445.35025arXiv1911.06926OpenAlexW2988531932MaRDI QIDQ2194010

Yanyan Li

Publication date: 25 August 2020

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.06926

zbMATH Keywords

energy estimatesmetastabilitynonlinear diffusion

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Initial-boundary value problems for second-order parabolic equations (35K20) Phase transitions (general) in equilibrium statistical mechanics (82B26) Quasilinear parabolic equations (35K59) Pattern formations in context of PDEs (35B36)

Related Items (4)

Long-time behavior of solutions to the generalized Allen-Cahn model with degenerate diffusivity ⋮ Unnamed Item ⋮ Singular limit of an Allen-Cahn equation with nonlinear diffusion ⋮ Long time dynamics of solutions to \(p\)-Laplacian diffusion problems with bistable reaction terms

Cites Work

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