2009 Fiscal Year Final Research Report
Characterization of dissipative structure for partial differential equations and application to the nonlinear stability analysis
| Project/Area Number |
18340040
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| Research Category |
Grant-in-Aid for Scientific Research (B)
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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 | Kyushu University |
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Principal Investigator |
KAWASHIMA Shuichi Kyushu University, 大学院・数理学研究院, 教授 (70144631)
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| Co-Investigator(Kenkyū-buntansha) |
KAGEI Yoshiyuke 九州大学, 大学院・数理学研究院, 教授 (80243913)
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| Co-Investigator(Renkei-kenkyūsha) |
OGAWA Takayoshi 東北大学, 大学院・理学研究科, 教授 (20224107)
KOBAYASHI Takayuki 佐賀大学, 理工学部, 教授 (50272133)
NISHIBATA Shinya 東京工業大学, 大学院・情報理工学研究科, 准教授 (80279299)
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| Project Period (FY) |
2006 – 2009
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| Keywords | 偏微分方程式 / 消散構造 / 安定性解析 / エネルギー法 / 減衰評価 |
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| Research Abstract |
We studied nonlinear partial differential equations in the field of gas dynamics, fluid dynamics and elasto-dynamics. We investigated the dissipative properties of the systems and proved the asymptotic stability of various nonlinear phenomena.
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