5 papers
Diffusive method for multiple class data classification
Toyohiko Aiki, Honoka Yano, Takeshi Ohtsuka
A simple algorithm for multiple class data classification is proposed, which is based on the infinit speed of propagation and the strong maximum principle for the heat equation. In…
A minimizing movements approach for crystalline eikonal-curvature flows of spirals
Takeshi Ohtsuka, Yen-Hsi Richard Tsai
We propose an algorithm for evolving spiral curves on a planar domain by normal velocities depending on the so-called crystalline curvatures. The algorithm uses a minimizing moveme…
Numerical analysis comparing ODE approach and level set method for evolving spirals by crystalline eikonal-curvature flow
Tetsuya Ishiwata, Takeshi Ohtsuka
In this paper, the evolution of a polygonal spiral curve by the crystalline curvature flow with a pinned center is considered with two view points, discrete model consist of an ODE…
Existence of asymptotic speed of solutions to birth and spread type nonlinear partial differential equations
Yoshikazu Giga, Hiroyoshi Mitake, Takeshi Ohtsuka +1
In this paper, we prove the existence of asymptotic speed of solutions to fully nonlinear, possibly degenerate parabolic partial differential equations in a general setting. We the…
Growth rate of crystal surfaces with several dislocation centers
Takeshi Ohtsuka, Yen-Hsi Richard Tsai, Yoshikazu Giga
We study analytically and numerical the growth rate of a crystal surface growing by several screw dislocations. To describe several spiral steps we use the revised level set method…