| Co-Investigator(Kenkyū-buntansha) |
竹広 真一 京都大学, 数理解析研究所, 准教授 (30274426)
米田 剛 一橋大学, 大学院経済学研究科, 教授 (30619086)
小布施 祈織 岡山大学, 環境生命科学学域, 准教授 (90633967)
横山 直人 同志社大学, 研究開発推進機構, 嘱託研究員 (80512730)
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| Budget Amount *help |
¥17,680,000 (Direct Cost: ¥13,600,000、Indirect Cost: ¥4,080,000)
Fiscal Year 2021: ¥2,990,000 (Direct Cost: ¥2,300,000、Indirect Cost: ¥690,000)
Fiscal Year 2020: ¥2,990,000 (Direct Cost: ¥2,300,000、Indirect Cost: ¥690,000)
Fiscal Year 2019: ¥2,600,000 (Direct Cost: ¥2,000,000、Indirect Cost: ¥600,000)
Fiscal Year 2018: ¥3,250,000 (Direct Cost: ¥2,500,000、Indirect Cost: ¥750,000)
Fiscal Year 2017: ¥5,850,000 (Direct Cost: ¥4,500,000、Indirect Cost: ¥1,350,000)
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| Outline of Final Research Achievements |
Nonlinear and nonresonant interaction between linear waves is studied in nonlinear evolution equations of linear wave systems, including two-dimensional fluid dynamical equations on a rotating sphere where the Rossby waves are fundamental modes and the most noticeable phenomenon is the generation of zonal flows, which are steady Rossby waves uniform in east-west direction, as often observed in solar planets. Numerical simulation with very small viscosity strongly suggests that the generation of the zonal flows is possible without viscosity, although an interpretation of the zonal flow generation employs the energy transfer from Rossby waves to zonal flows through the viscous critical layers. The Rossby waves are divided into 4 groups according to zonal/nonzonal and whether resonant interaction is possible or not. Energy transport between these 4 groups shows that the non-resonant interaction transfers energy to the zonal modes which cannot receive energy by the resonant interaction.
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