特集「ものを隔てる膜の表面・真空科学」
しゃぼん膜に潜む数学
2021 年 64 巻 4 号 p. 183-188
詳細
2021 年 64 巻 4 号 p. 183-188
Minimal surfaces serve as a mathematical model of soap films, because they are equilibrium surfaces of the area. We give a proof of this fact, a representation formula for minimal surfaces and several examples gotten by the formula. A sufficient condition for a minimal surface to be realized as a soap film is given. We also give applications of minimal surfaces to study the surfaces of AB diblock copolymers and architecture.
