| Budget Amount *help |
¥5,200,000 (Direct Cost: ¥4,000,000、Indirect Cost: ¥1,200,000)
Fiscal Year 2016: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2015: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2014: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2013: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2012: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
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| Outline of Final Research Achievements |
The geometric evolution equations described by the 4th order parabolic partial differential equations are studied. In particular, we focus on the surface diffusion equation and analyze the stability of the steady states for it. The surface diffusion equation has a variational structure that the area of the moving surface governed by this equation decreases whereas the volume of the region enclosed by its surface is preserved. This implies that the steady states are the constant mean curvature surfaces. In this project, we consider the axisymmetric constant mean curvature surfaces to be as the steady states for the surface diffusion equation and derive the criteria of the stability for them.
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