| Budget Amount *help |
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2022: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2021: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2020: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2019: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2018: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
|
|---|
| Outline of Final Research Achievements |
We get some results on time-global existence and finite-time blowup of solutions to chemotaxis systems with nonlinear sensitivity functions. In particular, we concentrated our study in the case where sensitivity functions are positive constants times the logarithmic function. We clarify that those chemotaxis system do not have blowup solutions, if constants of logarithmic sensitivity functions are less than a certain value. We say the value threshold number. In this study, we use solutions to a simplified system as auxiliary functions. This argument is found by our research.
On blowup of solutions, it is known that those systems have finite-time blowup solutions if constants of logarithmic sensitivity functions are bigger than 2 times threshold number. We construct finite-time blowup solutions to those systems also in the case where the constant is a certain value between threshold number and 2 times threshold number.
|
