| Budget Amount *help |
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2021: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2020: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2019: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2018: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2017: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
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| Outline of Final Research Achievements |
In this study, we mathematically investigate the properties of solutions to the compressible Euler equation. The first result was the existence of a global attractor for the one-dimensional Euler equation. This means that if the solution is bounded, it will be attracted to a certain bounded region. This is an important property in showing the attenuation of the solution. The second result was the existence of a classical solution in the time-global domain for the equation expressing the internal flow of a nozzle. This equation is generally known to have discontinuous solutions. On the other hand, the classical solution in this case represents a first-order continuously differentiable solution. The existence of time-global solutions containing discontinuous solutions was known, but the existence of classical solutions in time-global terms was unknown.
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