| Budget Amount *help |
¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2017: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2016: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2015: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2014: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
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| Outline of Final Research Achievements |
The phenomena of coagulation and fragmentation are widely observed in nature. It is typical that the mathematical analysis for them is based on a nonlinear equation regarded as `the fundamental equation'. However, the previous studies are obliged to made the constraint on the growth order of the coagulation and fragmentation rates. In this research, introducing suitably a microscopic model describing random coagulation and fragmentation, and then taking a proper scaling limit, we have derived a certain class of coagulation-fragmentation equations with rates which are not necessarily satisfying the growth order previously required.
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