| Project/Area Number |
23340036
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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 |
Global analysis
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| Research Institution | Osaka University |
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Principal Investigator |
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| Co-Investigator(Kenkyū-buntansha) |
CHAWANYA Takeshi 大阪大学, 大学院情報科学研究科, 准教授 (80294148)
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| Co-Investigator(Renkei-kenkyūsha) |
ODANAKA Shinji 大阪大学, サイバーメディアセンター, 教授 (20324858)
NISHIHARA Kenji 早稲田大学, 政治経済学部, 教授 (60141876)
NISHIBATA Shinya 東京工業大学, 大学院情報理工学研究科, 教授 (80279299)
YANAGISAWA Taku 奈良女子大学, 大学院自然科学研究科, 教授 (30192389)
TSUGE Naoki (KAI Itsuko / HASHIMOTO Itsuko) 岐阜大学, 教育学部, 准教授 (30449897)
IOHARA Takao 大阪大学, 大学院理学研究科, 助教 (00294140)
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| Project Period (FY) |
2011-04-01 – 2015-03-31
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| Project Status |
Completed (Fiscal Year 2014)
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| Budget Amount *help |
¥11,830,000 (Direct Cost: ¥9,100,000、Indirect Cost: ¥2,730,000)
Fiscal Year 2014: ¥3,120,000 (Direct Cost: ¥2,400,000、Indirect Cost: ¥720,000)
Fiscal Year 2013: ¥2,730,000 (Direct Cost: ¥2,100,000、Indirect Cost: ¥630,000)
Fiscal Year 2012: ¥2,990,000 (Direct Cost: ¥2,300,000、Indirect Cost: ¥690,000)
Fiscal Year 2011: ¥2,990,000 (Direct Cost: ¥2,300,000、Indirect Cost: ¥690,000)
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| Keywords | 粘性保存則 / 時間大域解 / 漸近挙動 / エネルギー法 / 圧縮性気体 / 非線形波動方程式 / 半導体方程式 / 大規模力学系 / 理想気体の方程式 / 粘性衝撃波 / アトラクター / 分岐現象 / バーガース方程式 / オイラー・ポアソン方程式 / 粘性気体の方程式 / 粘性接触波 / 希薄波 / 準周期外力系 / 非線形保存則 / 圧縮性オイラー方程式 / 初期値問題 / 粘性気体方程式 / 定常解 / エネルギー散逸 / MHD方程式 |
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| Outline of Final Research Achievements |
Various weighted energy methods were successfully manipulated to have a priori estimates for solutions of nonlinear conservation laws with dissipative structures of energy. With the aid of these methods, has been much progressed the analysis on the large time behaviors of the solutions of scalar viscous conservation law with non-convex flux, system of equations of ideal gas, dissipative wave equations, model system of semiconductor, large scale dynamical system, etc. As for a model system of semiconductor, which is very important in practical applications, an efficient method of numerical computation to get the stationary solutions was proposed.
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