| Budget Amount *help |
¥4,810,000 (Direct Cost: ¥3,700,000、Indirect Cost: ¥1,110,000)
Fiscal Year 2018: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2017: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2016: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
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 |
We considered some systems related to Keller-Segel system, which was introduced to describe the aggregation of living things. Our aim was the research on behavior of solutions to the generalized systems of the Keller-Segel system.
We considered two kinds of generalization. One of them is the generalization of sensitivity functions, which express the relation between chemical concentration and motion of living things. The Keller-Segel system has a linear sensitivity function. We consider parabolic-elliptic systems with nonlinear sensitivity functions in the case where the domain is two dimensional and bounded one. In this case, we made it clear that each solution to the systems globally exists in time, if the sensitivity function is sub-linear. The other is the generalization of the number of equations. We consider a system having three parabolic equations. We made it clear that each solution to the system exists globally in time, if the domain is two or three dimensional one.
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