| Budget Amount *help |
¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000)
Fiscal Year 2016: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2015: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2014: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
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| Outline of Final Research Achievements |
1. Heat convection problems of compressible and viscous fluids in the horizontal strip domain under the gravity heated from below. We have analyzed stationary bifurcations and its time evolutions while we notice an important parameter L which depends inversely on the temperature gradient and the depth of the domain. When the parameter L tends to the infinity, we analyzed how the solutions of the system converge to those of the incompressible Oberbeck-Boussinesq system.
2. We analyzed the stability of the compressible Poiseuille flow. When the Mach number is not small, the flow becomes unstable with a much smaller Reynold number compared with the critical Reynold number for the incompressible Poiseuille flow.
3. As a justification of an 'artificial compressible' perturbation to the incompressible viscous fluids, we analyzed the stability of the stationary bifurcated solutions of the heat convection problems.
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