Instability of stationary solutions for equations of curvature-driven motion of curves

DOI10.1007/BF02219370zbMath0834.35019MaRDI QIDQ1898801

Shin-ichiro Ei, Eiji Yanagida

Publication date: 25 September 1995

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

zbMATH Keywords

viscosity solutionscurvature flow of curvesinstability of stationary solutions

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Degenerate parabolic equations (35K65) Initial value problems for linear higher-order PDEs (35G10) Higher-order parabolic equations (35K25)

Related Items (2)

Dynamics of interfaces in a scalar parabolic equation with variable diffusion coefficients ⋮ Stability of stationary interfaces of binary-tree type

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Motion of level sets by mean curvature. I
• Asymptotic behavior for solutions of a one-dimensional parabolic equation with homogeneous Neumann boundary conditions
• On instability of evolving hypersurfaces
• Dynamics of interfaces in a scalar parabolic equation with variable diffusion coefficients
• Stability of stationary distributions in a space-dependent population growth process
• Generalized motion by mean curvature with Neumann conditions and the Allen-Cahn model for phase transitions
• Stability of Stationary Interfaces with Contact Angle in a Generalized Mean Curvature Flow
• Uniqueness and existence of viscosity solutions of generalized mean curvature flow equations

This page was built for publication: Instability of stationary solutions for equations of curvature-driven motion of curves