Large time behavior of the solutions to the equations of fluid motion.
| Project/Area Number |
23540211
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Research Field |
Basic analysis
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| Research Institution | Ehime University |
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Principal Investigator |
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| Co-Investigator(Kenkyū-buntansha) |
NAKAMURA Tohru 九州大学, 大学院数理学研究院, 助教 (90432898)
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| Project Period (FY) |
2011 – 2013
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| Project Status |
Completed (Fiscal Year 2013)
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| Budget Amount *help |
¥3,380,000 (Direct Cost: ¥2,600,000、Indirect Cost: ¥780,000)
Fiscal Year 2013: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2012: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2011: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
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| Keywords | Navier-Stokes 方程式 / 圧縮性流体 / 時間大域的挙動 / Navier-Stokes方程式 |
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| Research Abstract |
In the present research, we consider the nonlinear symmetric systems of hyperbolic and parabolic type which describe the motion of compressible and viscous fluids. For this system, we show the existence and asymptotic stability of stationary waves in a half space. We show that the condition for the existence of stationary waves is characterized by the number of negative characteristics. We also prove the asymptotic stability of the stationary waves in a suitable Sobolev space by using the energy method under the stability condition of Shizuta-Kawashima type.
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Report
(4 results)
Research Products
(25 results)
