2009 Fiscal Year Final Research Report
Mathematical studies for bifurcation structures and transient dynamics of model equations in the superconductivity and BEC
| Project/Area Number |
19340026
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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 |
General mathematics (including Probability theory/Statistical mathematics)
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| Research Institution | Ryukoku University |
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Principal Investigator |
MORITA Yoshihisa Ryukoku University, 理工学部, 教授 (10192783)
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| Co-Investigator(Kenkyū-buntansha) |
JIMBO Shuichi 北海道大学, 大学院・理学研究科, 教授 (80201565)
OGAWA Toshiyuki 大阪大学, 大学院・基礎工学研究科, 准教授 (80211811)
MACHIDA Masahiko 独立行政法人日本原子力研究開発機構, システム計算科学センター, 研究主幹 (60360434)
MIZUMACHI Tetsu 九州大学, 大学院・数理学研究院, 准教授 (60315827)
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| Project Period (FY) |
2007 – 2009
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| Keywords | Ginzburg-Landau方程式 / 渦糸解 / 遷移ダイナミクス / 解の安定性 / 分岐解析 / 超伝導モデル / Gross-Pitaevskii方程式 / パターンダイナミクス |
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| Research Abstract |
We investigate mathematical properties and structures of solutions to the model equations describing the superconductivity and Bose-Einstein condensation, which are typical macroscopic quantum phenomena. We obtained mathematical results on the bifurcation structure and the characteristic dynamics for the model equations such as the Ginzburg-Landau equations and other related equations.
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