2009 Fiscal Year Final Research Report
Asymptotic structure of the solutions to the system of compressible fluid
| Project/Area Number |
19540191
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Basic analysis
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| Research Institution | Saga University |
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Principal Investigator |
KOBAYASHI Takayuki Saga University, 理工学部, 教授 (50272133)
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| Co-Investigator(Kenkyū-buntansha) |
KAGEI Yoshiyuki 九州大学, 大学院・数理学研究院, 教授 (80243913)
IKEHATA Ryo 広島大学, 教育学研究科, 准教授 (10249758)
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| Project Period (FY) |
2007 – 2009
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| Keywords | 関数方程式 |
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| Research Abstract |
We consider the Navier-Stokes-Poisson equation describing the motion of compressible viscous isentropic gas flow under the self-gravitational force. We proved the existence of finite energy weak solutions in three dimensional bounded domain and discussed the stability of equilibrium. Also, we consider the equations to the Magneto-Hydrodynamics, and proved the existence of weak solutions.
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Research Products
(22 results)
