Budget Amount *help |
¥17,810,000 (Direct Cost: ¥13,700,000、Indirect Cost: ¥4,110,000)
Fiscal Year 2014: ¥3,120,000 (Direct Cost: ¥2,400,000、Indirect Cost: ¥720,000)
Fiscal Year 2013: ¥3,120,000 (Direct Cost: ¥2,400,000、Indirect Cost: ¥720,000)
Fiscal Year 2012: ¥4,030,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥930,000)
Fiscal Year 2011: ¥7,540,000 (Direct Cost: ¥5,800,000、Indirect Cost: ¥1,740,000)
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Outline of Final Research Achievements |
We have studied the motion of elastic body, fluid and their interaction. We used energy formula and variational method for solving these problems. The main target was hyperbolic free boundary problems which can be treated the motion of bubble even with junctions.Our method is based on the discrete Morse flow, which is defined by "time difference space differential" type functionals. We have constructed approximate solutions for hyperbolic free boundary problems and in easy cases we could show the existence of the solution. The other feature of this problem is that we can add global constraints such as volume preserving constraint.We also developed numerical algorithm based on this idea.
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