Mathematical Analysis for local and nonlocal structures in viscous flows
| Project/Area Number |
25800079
|
|---|
| Research Category |
Grant-in-Aid for Young Scientists (B)
|
| Allocation Type | Multi-year Fund |
|---|
| Research Field |
Mathematical analysis
|
|---|
| Research Institution | Tohoku University |
|---|
Principal Investigator |
MAEKAWA Yasunori 東北大学, 理学(系)研究科(研究院), 准教授 (70507954)
|
|---|
| Project Period (FY) |
2013-04-01 – 2016-03-31
|
| Project Status |
Completed (Fiscal Year 2015)
|
| Budget Amount *help |
¥4,030,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥930,000)
Fiscal Year 2015: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2014: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2013: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
|
|---|
| Keywords | Navier-Stokes方程式 / 流体力学 / 渦度場 / 境界層 / 解の漸近挙動 / Ｎａｖｉｅｒ-Ｓｔｏｋｅｓ方程式 / 非圧縮性流体の数理構造 / 渦度方程式 / 非圧縮性粘性流体 / 偏微分方程式論 / 境界層理論 / Helmholtz分解 / 発散形楕円型作用素 |
|---|
| Outline of Final Research Achievements |
This research project is aimed to achieve the understanding of mathematical structure of solutions to the Navier-Stokes equations for viscous inompressible flows, which are fundamental equations in fluid dynamics. This project has revealed various important structures of vorticity fields for the Navier-Stokes flows: the stability of boundary layer when the initial vorticty is located away from the boundary, the asymptotic behavior of solutions to the Navier-Stokes equations in two-dimensional exterior domains, the asymptotic stability of some stationary solutions to the exterior flows around a rotating disk, regularity criterion for the three-dimensional Navier-Stokes equations in the half space under the condition of voricity direction and type I blow-up, the vorticity boundary condition n the half plane and its applications.
|
Report
(4 results)
Research Products
(45 results)
