2011 Fiscal Year Final Research Report
Stability and nonlinear structure for the nonlinear partial differential equations of gas dynamics.
| Project/Area Number |
21740111
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Single-year Grants |
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| Research Field |
Global analysis
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| Research Institution | Kobe University (2011)
Tohoku University (2009-2010) |
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Principal Investigator |
UEDA Yoshihiro 神戸大学, 大学院・海事科学研究科, 講師 (50534856)
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| Research Collaborator |
KAWASHIMA Shuichi 九州大学, 大学院・数理学府, 教授 (70144631)
NAKAMURA Tohru 九州大学, 大学院・数理学府, 助教 (90432898)
KAI Itsuko 金沢大学, 大学院・自然科学研究科, 研究協力員 (70584639)
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| Project Period (FY) |
2009 – 2011
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| Keywords | 関数方程式の大域理論 / 安定性解析 |
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| Research Abstract |
I analyzed the asymptotic stability of the nonlinear waves for some equations. Especially I focused on the nonlinearity which appears in the equation which describes a physical phenomenon. And I succeeded the construction of a certain kind of generalities.
Furthermore, I considered some physical models and got the new dissipative structure of the equations.
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