| Budget Amount *help |
¥2,600,000 (Direct Cost: ¥2,000,000、Indirect Cost: ¥600,000)
Fiscal Year 2013: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2012: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2011: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2010: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
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| Research Abstract |
I consider the existence of biharmonic map on M times R, which is reduced from a harmonic map on M by conformal change of metric on M. I prove that if dimension of M is 3 or 4, there exists a metric and such biharmonic map, but if dimension of M is greater than 5, there are no such biharmonic maps.
I also consider optimization problem of heat diffusion. I calculate the optimize shape of materials with two values of heat conductivity under the minimization/maximaization of the first eigenvalue of Laplacian. I also consider the LENGTH INDEX of single wall carbon nanotube.
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