| 研究課題/領域番号 |
19K14555
|
|---|
| 研究種目 |
若手研究
|
| 配分区分 | 基金 |
|---|
| 審査区分 |
小区分12010:基礎解析学関連
|
|---|
| 研究機関 | 九州大学 |
|---|
研究代表者 |
タ・ビィエ トン 九州大学, 農学研究院, 准教授 (30771109)
|
|---|
| 研究期間 (年度) |
2019-04-01 – 2023-03-31
|
| 研究課題ステータス |
完了 (2022年度)
|
| 配分額 *注記 |
4,160千円 (直接経費: 3,200千円、間接経費: 960千円)
2022年度: 1,170千円 (直接経費: 900千円、間接経費: 270千円)
2021年度: 780千円 (直接経費: 600千円、間接経費: 180千円)
2020年度: 1,170千円 (直接経費: 900千円、間接経費: 270千円)
2019年度: 1,040千円 (直接経費: 800千円、間接経費: 240千円)
|
|---|
| キーワード | PDEs / SDEs / Evolution equation / swarming behavior / forest transition / evolution equations / strict solutions / Evolution equations / Strict solutions / Mild solutions / Wiener process / Forest kinematic model / Evolution Equations / Forest Ecosystems / Coat Patterns |
|---|
| 研究開始時の研究の概要 |
Many phenomena including noise can be described by rough evolution equations (REEs). Once these equations are solved, it will give new understanding on the phenomena.
This project will construct a new theory to solve a wide class of REEs. The theory will be then used to study the effect of noise on forest kinematic ecosystem and on the coat pattern of animals.
|
| 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.
|
| 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.
|
