Stability of Stationary Interfaces with Contact Angle in a Generalized Mean Curvature Flow

DOI10.1353/ajm.1996.0023zbMath0870.35056OpenAlexW2106675586MaRDI QIDQ4890214

Moto-Hiko Sato, Eiji Yanagida, Shin-ichiro Ei

Publication date: 10 September 1997

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://muse.jhu.edu/journals/american_journal_of_mathematics/toc/ajm118.3.html

zbMATH Keywords

viscosity solutionslevel set approach

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Stability in context of PDEs (35B35) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

Related Items (7)

Nonlinear oblique derivative problems for singular degenerate parabolic equations on a general domain ⋮ Instability of stationary solutions for equations of curvature-driven motion of curves ⋮ Dynamics of interfaces in a scalar parabolic equation with variable diffusion coefficients ⋮ Weighted Orlicz regularity for fully nonlinear elliptic equations with oblique derivative at the boundary via asymptotic operators ⋮ Stability of stationary interfaces of binary-tree type ⋮ Internal layers intersecting the boundary of domain in the Allen-Cahn equation ⋮ Exponential stability of a traveling wave for an area preserving curvature motion with two endpoints moving freely on a line

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