Dynamics of interfaces in a scalar parabolic equation with variable diffusion coefficients

DOI10.1007/BF03167306zbMath0879.35018MaRDI QIDQ1365311

Masato Iida, Eiji Yanagida, Shin-ichiro Ei

Publication date: 1 February 1998

Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

bistable potentialgeneralized mean curvature flow

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Singular perturbations in context of PDEs (35B25) Initial value problems for second-order parabolic equations (35K15)

Related Items (7)

Multi-layered stationary solutions for a spatially inhomogeneous Allen--Cahn equation. ⋮ Singular Limit of a Spatially Inhomogeneous Lotka–Volterra Competition–Diffusion System ⋮ Instability of stationary solutions for equations of curvature-driven motion of curves ⋮ A variational approach to singular perturbation problems in reaction-diffusion systems ⋮ The singular limit of the Allen-Cahn equation and the FitzHugh-Nagumo system ⋮ Existence of stable subharmonic solutions for reaction-diffusion equations ⋮ Asymptotic behavior of spatially inhomogeneous mean curvature flows

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