| Budget Amount *help |
¥13,910,000 (Direct Cost: ¥10,700,000、Indirect Cost: ¥3,210,000)
Fiscal Year 2020: ¥3,770,000 (Direct Cost: ¥2,900,000、Indirect Cost: ¥870,000)
Fiscal Year 2019: ¥3,380,000 (Direct Cost: ¥2,600,000、Indirect Cost: ¥780,000)
Fiscal Year 2018: ¥3,770,000 (Direct Cost: ¥2,900,000、Indirect Cost: ¥870,000)
Fiscal Year 2017: ¥2,990,000 (Direct Cost: ¥2,300,000、Indirect Cost: ¥690,000)
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| Outline of Final Research Achievements |
We obtained several results for compressible Navier-Stokes equations under the barotropic condition and for the full-system of the density, the velocity and the temperature. The ill-posedness is proved in the function spaces with the threshold regularity for each equations. In addition, we proved the existence of self-similar solutions under the radial symmetric condition for the density, the velocity and the temperature.
As for theory of the function spaces on general domains and its application to nonlinear partial differential equations, we established one technique with the dyadic decomposition of the spectrum for the Dirichlet Laplacian applicable to the surface quasi-geostrophic equation in the half space and the bounded domain.
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