| Budget Amount *help |
¥4,810,000 (Direct Cost: ¥3,700,000、Indirect Cost: ¥1,110,000)
Fiscal Year 2014: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2013: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2012: ¥2,210,000 (Direct Cost: ¥1,700,000、Indirect Cost: ¥510,000)
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| Outline of Final Research Achievements |
By invoking the Noether theory associated with the particle-relabeling symmetry, we revealed that the topological integral invariants for barotropic and baroclinic flows, magnetohydrodynamics (MHD) and a relativistic flow are all represented in the form of the cross-helicity. By restricting disturbances to isovortical ones that keep the topology of the vorticity, we succeeded in calculating the weakly nonlinear stability of a rotating flow with elliptic streamlines. By restricting to the isomagnetovortical perturbations, we derived a general formula for waves on MHD flows. Using the Lagrangian treatment that realizes this class of perturbations, we made the three-dimensional short-wave stability analysis of the azimuthal magnetorotational instability, and showed that the Keplerian rotational flow is unstable.
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