| Budget Amount *help |
¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000)
Fiscal Year 2017: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2016: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2015: ¥2,210,000 (Direct Cost: ¥1,700,000、Indirect Cost: ¥510,000)
|
|---|
| Outline of Final Research Achievements |
This research was intended as an attempt to study the relations, from a mathematical standpoint, between the following three issues on the boundary value problems appearing in the hydrodynamics and magnetohydrodynamics (MHD) : (i) the nonlinear structure of equations, (ii) the setting of boundary conditions, (iii) the geometrical structure of domains. Our results obtained in this reserach can be listed below.
(1) We proved the existence and the stability of weak solutions of stationary MHD equations under inhomogeneous boundary conditions.(2) We gave a characterization of harmonic vector fields in three dimensional exterior domain by topological invariants of exterior domains. This result shall be a base for establishing Hodge decomposition theorem for exterior domains.
|
