| 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)
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| 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.
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