OKABE, SHINYA:COE Research Fellow,Analysis

Keyword(s):
Dynamics of elastic curves, Nonlinear elliptic equation, Nonlinear parabolic equation
Research Interest:
Nonlinear partial differential equation, Variational method
Research Activities:
In the 18th century, Euler considered the variational problem for the total squared curvature functional defined on curves of a fixed length, and its solution is called an elastica. Since then, there have been many studies in this field. Recently, I have been studying the dynamics of elastic closed curves with some constraints. The dynamics is formulated as follows: (i) the motion of the curve is governed by the gradient flow of an appropriate energy functional with some constraints; (ii) the eventual shape of the curve is determined by the constrained variational problem for the energy functional.