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Waseda University

Undergraduate: School of Fundamental Science and Engineering, Department of Mathematics

Graduate: Graduate School of Fundamental Science and Engineering, Department of Pure and Applied Mathematics

三竹研究室

Showing the original Japanese · View translation

超撥水の面にのったシャボン玉 — *Illustrative image. Not taken at the lab.

AboutAbout the lab

変化を表す方程式を、解析の力で読み解く。

三竹研究室は、物の動きや変化を表す偏微分方程式を、数学の解析の立場から研究しています。
中心にあるのは、なめらかでない解も扱える「粘性解」の理論と、ハミルトン・ヤコビ方程式です。
時間がたつと解がどう落ち着くか、最適な制御、結晶の成長など、物理や工学につながる問題も扱っています。

ResearchResearch themes

*Illustrative image

細かな模様をならして見る

細かな模様が繰り返す物の中の現象は、遠くから見ると平均した性質で表せます。この「均質化」を、ハミルトン・ヤコビ方程式という偏微分方程式で扱い、ならした結果にどれだけ速く近づくかを調べています。

*Illustrative image

力を受けて動く曲面の流れ

曲がり具合に応じて動く曲面に、外から力が加わる「強制平均曲率流」を研究しています。らせん状に育つ結晶の表面の成長の速さや、境界を決めた曲面の動き、曲面が途中で消える現象を数学的に調べます。

MembersFaculty

三竹大寿

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Research Output

Focus on in-lab researchPublish often at conferences

Topic Freedom

Professor provides topicsChoose your own topic

Supervision

Hands-offClose mentoring

Research Funding

Make do creativelyAmple equipment & funds

Lab Atmosphere

Everyone works quietlyLively and close-knit

Overall Workload

Immersed in researchPlenty of free time

Core hours-

Lab meetings-

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About 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: “Bubble on an ultrahydrophobic surface” Stevearscott / CC BY-SA 4.0 (cropped)
細かな模様をならして見る: “AEDC team members mark completion of 16S honeycomb (8205388)” U.S. Air Force photo by Staff Sgt. Keith Thornburgh / Public domain (cropped)
力を受けて動く曲面の流れ: “Pyrite Navajun Screw Growth” Miguel Calvo / CC BY 4.0 (cropped)
Related lab (小薗研究室): “A340 wake turbulence simulation” Deutsches Zentrum für Luft und Raumfahrt / CC BY 3.0 de (cropped)
Related lab (小川研究室): “Chladni plate 14” Exhibit made by Estes Objethos Atelier, photo by Rodrigo Tetsuo Argenton / CC BY-SA 4.0 (cropped)
Related lab (池田研究室): “Mathematisches-Gipsmodell.Fläche3.Ordnung - Kopie” Museopedia / CC BY-SA 4.0 (cropped)
Related lab (薄葉研究室): “CMAP - Centre de Mathématiques Appliquées de l'Ecole polytechnique” Jérémy Barande / CC BY-SA 3.0 (cropped)

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