| 研究課題/領域番号 |
19K14555
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| 研究種目 |
若手研究
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| 配分区分 | 基金 |
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| 審査区分 |
小区分12010:基礎解析学関連
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| 研究機関 | 九州大学 |
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研究代表者 |
タ・ビィエ トン 九州大学, 農学研究院, 准教授 (30771109)
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| 研究期間 (年度) |
2019-04-01 – 2023-03-31
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| キーワード | PDEs / SDEs / Evolution equation / swarming behavior / forest transition / evolution equations / strict solutions |
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| 研究成果の概要 |
1) We have constructed strict solutions to a a class of semilinear evolution equation. 2) We have constructed SDE models for predator-avoidance swarms.
3) We have constructed a SDE model and its global solutions for a forest transition of forest land, agricultural land, and abandonment land sizes.
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| 自由記述の分野 |
PDEs, SDEs, Applied mathematics
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| 研究成果の学術的意義や社会的意義 |
New concept, named strict solutions, to a a class of semilinear evolution equations has been introduced. In addition, the mechanism of swarming behaviors and forest transition is also verified using SDEs approach.
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