接線方向の成分を有するキネマティック方程式

概要

論文の詳細を見る
Kinematic system of equations, which was proposed by Mikhailov et al., is a mathematical model for dynamics of wave patterns in excitable reaction-diffusion systems. The kinematic system has been good agreement with various wave behavior, however, there are mathematical difficulties such that the time evolutional equation for curvature of wave in the system does not have explicitly expressed tangential component. In this report, a new kinematic equation with explicitly expressed tangential component is derived in the same assumptions as Mikhailov et al.