A stability criterion for stationary curves to the curvature-driven motion with a triple junction

Ryo Ikota; Eiji Yanagida

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A stability criterion for stationary curves to the curvature-driven motion with a triple junction

机译：具有三重接合点的曲率驱动运动的静态曲线的稳定性判据

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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.

机译：针对具有三重接合点的曲率驱动运动，提出了固定曲线的线性稳定性判据。首先，我们执行形式渐近展开并得出线性化系统。其次，我们研究系统的无穷小生成器的特征值。最后，通过数值实验，我们证明了线性准则决定了Lyapunov的稳定性。

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《Differential and integral equations》 |2003年第6期|共20页
作者
Ryo Ikota; Eiji Yanagida;
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正文语种 eng
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1. A stability criterion for stationary curves to the curvature-driven motion with a triple junction [J] . Ryo Ikota, Eiji Yanagida Differential and integral equations . 2003,第6期

机译：具有三重接合点的曲率驱动运动的静态曲线的稳定性判据
2. SURFACE DIFFUSION WITH TRIPLE JUNCTIONS:A STABILITY CRITERIONFOR STATIONARY SOLUTIONS [J] . HARALD GARCKE, KAZUO ITO, YOSHIHITO KOHSAKA Advances in differential equations . 2010,第5a6期

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3. Nonlinear stability of stationary solutions for curvature flow with triple junction [J] . Garcke H, Kohsaka Y, Sevcovic D Hokkaido Mathematical Journal . 2009,第4期

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A stability criterion for stationary curves to the curvature-driven motion with a triple junction

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