| Budget Amount *help |
¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000)
Fiscal Year 2019: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2018: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2017: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2016: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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| Outline of Final Research Achievements |
Periodic minimal surfaces in the Euclidean three-space can be considered as a mathematical model for surfactant in the soft matter. In 1990s, physicists considered many families of triply periodic minimal surfaces. On the other hand, a stability of a minimal surface has been studied via area minimizing situation. In particular, Barbosa-doCarmo's technique related to volume preserving stability might be useful tool for this situation. By this study, we find out volume preserving stability for some families which physicists considered. Moreover, we gave mathematical description of lamellar phases in the soft matter as limits of triply periodic minimal surfaces.
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