| Project/Area Number |
21654021
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| Research Category |
Grant-in-Aid for Challenging Exploratory Research
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| Allocation Type | Single-year Grants |
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| Research Field |
Basic analysis
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| Research Institution | The University of Tokyo |
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Principal Investigator |
FUNAKI Tadahisa 東京大学, 大学院・数理科学研究科, 教授 (60112174)
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| Co-Investigator(Kenkyū-buntansha) |
MATANO Hiroshi 東京大学, 大学院・数理科学研究科, 教授 (40126165)
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| Co-Investigator(Renkei-kenkyūsha) |
OSADA Hirofumi 九州大学, 大学院・数理学研究院, 教授 (20177207)
OTOBE Yoshiki 信州大学, 理学部, 准教授 (30334882)
XIE Bin 信州大学, ファイバーナノテク国際若手研究者育成拠点, 助教 (50510038)
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| Project Period (FY) |
2009 – 2011
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| Project Status |
Completed (Fiscal Year 2011)
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| Budget Amount *help |
¥3,370,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥270,000)
Fiscal Year 2011: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2010: ¥1,500,000 (Direct Cost: ¥1,500,000)
Fiscal Year 2009: ¥700,000 (Direct Cost: ¥700,000)
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| Keywords | 確率論 / 解析学 / 確率偏微分方程式 |
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| Research Abstract |
We have studied the nonequilibrium fluctuation limit for the motion of two dimensional Young diagrams from the aspect of interface model. The limit is described by a certain stochastic partial differential equation. Moreover, the equilibrium solution of the equation which describes the growth of interfaces in consideration of the random fluctuation effect in space and time, the stochastic entropic solution of the stochastic partial differential equation with fractional differential operators, blow-up problem in a harmonic map heat flow, the singular limit of anisotropic Allen-Cahn equations and precise estimates on the position of the interfaces are studied.
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