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坂井秀隆研究室
Showing the original Japanese · View translation
パンルヴェ方程式を幾何学の目で読み解く、特殊関数と可積分系の研究室。

AboutAbout the lab
方程式の性質を、幾何学で整理する。
坂井秀隆研究室は、
楕円関数論や
代数幾何的な
初期値空間と
Key terms
- パンルヴェ方程式
- 解の
特異点に ついて 特別な 性質を もつ非線形の 微分方程式。 解は 新しい 特殊関数を 与える - 可積分系
- 多くの
保存量や 対称性を もち、 厳密に 解ける 性質を もつ方程式や 力学系 - 差分方程式
- 連続な
変数の 代わりに、とびとびの 値どうしの 関係で 表した 方程式
ResearchResearch themes
複素領域に
MembersFaculty
- Associate Professor坂井 秀隆Publications ↗
VoicesStudent voices
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Report an errorAbout the images
The top and research theme images are illustrative and were not taken at the lab. They are cropped from Wikimedia Commons images. Cropped CC BY-SA images are provided under the same CC BY-SA license as the original (version shown on each line).
- Top image: “Modell der Weierstraßschen p-Funktion -Schilling, XIV, 7ab, 8 - 313, 314” Oliver Zauzig / CC BY-SA 3.0 (cropped)
- パンルヴェ方程式と
その 拡張: “Weierstrass p function” Claudio Rocchini / CC BY-SA 4.0 (cropped) - Related lab (髙田了研究室): “Kelvin-Helmholtz instability clouds” Brocken Inaglory / CC BY-SA 3.0 (cropped)
- Related lab (岩木耕平研究室): “AiryAi Abs Surface” Inductiveload / Public domain (cropped)
- Related lab (宮本安人研究室): “TuringPattern” Ex.ungue.leonem / Public domain (cropped)
- Related lab (ミラノフトドール研究室): “Periodic waves in shallow water” US Army / Public domain (cropped)
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