| Project/Area Number |
25400157
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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 |
Mathematical analysis
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| Research Institution | Gifu University |
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Principal Investigator |
TSUGE Naoki 岐阜大学, 教育学部, 准教授 (30449897)
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| Research Collaborator |
MATSUMURA Akitaka 大阪大学, 情報学研究科, 名誉教授 (60115938)
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| Project Period (FY) |
2013-04-01 – 2018-03-31
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| Project Status |
Completed (Fiscal Year 2017)
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| Budget Amount *help |
¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Fiscal Year 2017: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2016: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2015: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2014: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2013: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
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| Keywords | 偏微分方程式 / 圧縮性オイラー方程式 / 流体力学 / 解の存在 / 不変領域 / 保存則 / 時間大域解の存在 / ノズル流 / 差分法 / 補償コンパクト性 / 単独保存則 / 一般化された不変領域 / 改良Godunovスキーム / 最大値原理 / 流体 / 初期値問題 / 摩擦項 / 圧縮性ナビエ・ストークス方程式 / 非線形音響学 / Kuznetsov方程式 / 衝撃波 / 時間大域解 / 漸近安定性 |
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| Outline of Final Research Achievements |
In this research, we are concerned with the following three subjects. First, we consider the equation, which represents the motion of gas in a nozzle and prove the global existence of a solution. Second, we consider the equation, which represents the gas with an outer force and prove the global existence of a solution. Third, we consider a scaler conservation law and prove the global existence of a solution.
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