| Budget Amount *help |
¥9,490,000 (Direct Cost: ¥7,300,000、Indirect Cost: ¥2,190,000)
Fiscal Year 2018: ¥2,340,000 (Direct Cost: ¥1,800,000、Indirect Cost: ¥540,000)
Fiscal Year 2017: ¥2,340,000 (Direct Cost: ¥1,800,000、Indirect Cost: ¥540,000)
Fiscal Year 2016: ¥2,340,000 (Direct Cost: ¥1,800,000、Indirect Cost: ¥540,000)
Fiscal Year 2015: ¥2,470,000 (Direct Cost: ¥1,900,000、Indirect Cost: ¥570,000)
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| Outline of Final Research Achievements |
The aim of this research project is the mathematical analysis for nonlinear partial differential equations describing the motion of incompressible rotating stably stratified fluids. We establish dispersive and space-time estimates for the linear propagator related to the stable stratification. As an application, we proved the long time existence and uniqueness of classical solutions to the initial value problem for the 3D stably stratified inviscid Boussinesq equations. In particular, we consider the singular limit of the strong stratification, and show that the long time classical solution converges to that of 2D incompressible Euler equations in some space-time norms.
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