Differential and Integral Equations
- Differential Integral Equations
- Volume 16, Number 6 (2003), 707-726.
A stability criterion for stationary curves to the curvature-driven motion with a triple junction
A linear stability criterion for stationary curves is presented for the curvature-driven motion with a triple junction. First we perform formal asymptotic expansions and derive a linearized system. Second we investigate eigenvalues of the infinitesimal generator of the system. Finally, through numerical experiments, we demonstrate that the linear criterion determines the stability in the sense of Lyapunov.
Differential Integral Equations, Volume 16, Number 6 (2003), 707-726.
First available in Project Euclid: 21 December 2012
Permanent link to this document
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 35B35: Stability
Secondary: 35K55: Nonlinear parabolic equations 82C24: Interface problems; diffusion-limited aggregation
Ikota, Ryo; Yanagida, Eiji. A stability criterion for stationary curves to the curvature-driven motion with a triple junction. Differential Integral Equations 16 (2003), no. 6, 707--726. https://projecteuclid.org/euclid.die/1356060608