| Budget Amount *help |
¥12,090,000 (Direct Cost: ¥9,300,000、Indirect Cost: ¥2,790,000)
Fiscal Year 2021: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2020: ¥2,730,000 (Direct Cost: ¥2,100,000、Indirect Cost: ¥630,000)
Fiscal Year 2019: ¥2,990,000 (Direct Cost: ¥2,300,000、Indirect Cost: ¥690,000)
Fiscal Year 2018: ¥2,600,000 (Direct Cost: ¥2,000,000、Indirect Cost: ¥600,000)
Fiscal Year 2017: ¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
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| Outline of Final Research Achievements |
For solutions of several equations describing nonlinear waves, we gave characterizations on various time-global behavior generated by strong competitions between wave dispersion and nonlinear interactions, and also classifications on solutions by initial data, which corresponds to predictions for the phenomena. Moreover, we developed methods for those mathematical analysis. Specifically, we extended the case where nonlinear interaction remains forever on dispersive waves such that the equation and/or the solution itself may include solitons etc. We also developed a method for the classification, deriving and using uniform and global space-time estimates for the linear equation where one of the interacting waves is regarded as a potential. For a dissipative equation, we gave a complete classification of global behavior for solutions near two solitons.
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