Mathematical analysis of superslow solution and anomalous diffusion
| Project/Area Number |
15K13455
|
|---|
| Research Category |
Grant-in-Aid for Challenging Exploratory Research
|
| Allocation Type | Multi-year Fund |
|---|
| Research Field |
Foundations of mathematics/Applied mathematics
|
|---|
| Research Institution | The University of Tokyo |
|---|
Principal Investigator |
|
|---|
| Project Period (FY) |
2015-04-01 – 2018-03-31
|
| Project Status |
Completed (Fiscal Year 2017)
|
| Budget Amount *help |
¥3,640,000 (Direct Cost: ¥2,800,000、Indirect Cost: ¥840,000)
Fiscal Year 2017: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2016: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2015: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
|
|---|
| Keywords | 特異拡散 / 不均質媒質 / 非整数階偏微分方程式 / 凝集 / セシウムの特異拡散 / 数理モデル / 数値解析 / 溶解 / 拡散 / 素過程 |
|---|
| Outline of Final Research Achievements |
In the case where a part of a plant is solved super-slowly and contaminants diffuse in hetrogeneous media such as soil, I mathematically analyzed. By the hetrogeneity, the profile in time and space does not indicate strong smoothing as the classical diffusion equation, and is known as anomalous diffusion. Within this project, I discuss fractional partial differential equations as models which can describe anomalous diffusion phenomena better, and have established the well-posedness of initial-boundary value problems and the uniqueness and the stability for various inverse problems such as the determination of coefficients in equations. Moreover I execute mathematical and numerical analyses for the anomalous diffusion of cesium and such results can interpret the real data well. I consider the superslow solution as a reciprocal process to the aggregation.
|
Report
(4 results)
Research Products
(35 results)
