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Affiliation |
Engineering educational research section Science Center for Engineering Education |
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Title |
Associate Professor |
KOBAYASHI Shunsuke
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Degree 【 display / non-display 】
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理学 ( 2020.3 明治大学 )
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理学 ( 2017.3 明治大学 )
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理学 ( 2015.3 明治大学 )
Papers 【 display / non-display 】
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Dynamics of Interfaces in the Two-Dimensional Wave-Pinning Model
Shunsuke Kobayashi, Koya Sakakibara, Taikei Uechi
arXiv 2026.1
Language：English Publishing type：Research paper (other academic)
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An instability framework of Hopf–Turing–Turing singularity in 2-component reaction–diffusion systems Reviewed
Izuhara H., Kobayashi S.
Japan Journal of Industrial and Applied Mathematics 42 ( 1 ) 63 - 112 2025.1
Publishing type：Research paper (scientific journal) Publisher：Japan Journal of Industrial and Applied Mathematics
This paper investigates pattern formation in 2-component reaction–diffusion systems with linear diffusion and local reaction terms. We propose a novel instability framework characterized by 0-mode Hopf instability, m and m + 1 mode Turing instabilities in 2-component reaction–diffusion systems. A normal form for the codimension 3 bifurcation is derived via the center manifold reduction, representing one of the main results in this paper. Additionally, we present numerical results on the bifurcation of certain reaction–diffusion systems and on the chaotic behavior of the normal form.
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Kobayashi Shunsuke
SYSTEMS, CONTROL AND INFORMATION 68 ( 9 ) 356 - 361 2024.9
Language：Japanese Publishing type：Research paper (scientific journal) Publisher：THE INSTITUTE OF SYSTEMS, CONTROL AND INFORMATION ENGINEERS
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Derivation of a curvature-dependent Kuramoto--Sivashinsky equation Reviewed
Shunsuke Kobayashi and Shigetoshi Yazaki
Proceedings of The Conference Algoritmy 189 - 198 2024.9
Authorship：Corresponding author Language：English Publishing type：Research paper (international conference proceedings)
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A new instability framework in 2-component reaction-diffusion system
Hirofumi Izuhara, Shunsuke Kobayashi
arXiv 2023.11
Authorship：Corresponding author Language：English Publishing type：Research paper (other academic)
Books 【 display / non-display 】
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京大式サイエンスの創り方：狙ってもできないことがある
京都大学大学院理学研究科MACS教育プログラム実行委員会（ Role： Edit）
京都大学学術出版会 2022.4
Language：Japanese Book type：Scholarly book
MISC 【 display / non-display 】
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薄い固体上における燃焼現象に対する数理解析と火炎伝播速度の制御の可能性
小林 俊介
システム／制御／情報 68 ( 9 ) 356 - 361 2024.9
Authorship：Lead author, Corresponding author Language：Japanese Publishing type：Article, review, commentary, editorial, etc. (other)
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ネットワーク上でのパターン発生の機構
小林 俊介
数学セミナー 2024.2
Authorship：Lead author Publishing type：Article, review, commentary, editorial, etc. (trade magazine, newspaper, online media)
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蛇腹折りろ紙上の燃え拡がりの数理解析
小林 俊介，宮本 平，桑名 一徳，鳥飼 宏之，矢崎 成俊
Proceedings of JAFSE Annual Symposium 2023 2023.5
Authorship：Lead author Language：Japanese Publishing type：Research paper, summary (national, other academic conference)
Presentations 【 display / non-display 】
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蛇腹折りろ紙上での燃焼現象の数理モデルとシミュレーション Invited
小林 俊介
北陸応用数理研究会2026 2026.2.19
Event date： 2026.2.19 - 2026.2.21
Language：Japanese Presentation type：Oral presentation (general)
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Turing pattern on double-loop metric graph Invited International conference
Shunsuke Kobayashi
Mini Czech-Japanese Seminar in Applied Mathematics 2026 in Kanazawa 2026.1.19
Event date： 2026.1.19
Language：English Presentation type：Oral presentation (general)
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Pattern dynamics on compact metric graphs Invited
Shunsuke Kobayashi
RIMS Symposium ``Mathematical Modeling and Analysis of Nonlinear Phenomena of Self-Organization and Self-Collapse" 2025.11.11
Event date： 2025.11.11 - 2025.11.14
Presentation type：Oral presentation (general)
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2本の辺によるコンパクトメトリックグラフ上での分岐構造 Invited
小林 俊介
数学と現象 in 岩舟 2025.9.10
Event date： 2025.9.8 - 2025.9.10
Language：Japanese Presentation type：Oral presentation (general)
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コンパクトメトリックグラフ上でのTuring不安定性 Invited
小林 俊介
日本応用数理学会2025年度年会 2025.9.4
Event date： 2025.9.2 - 2025.9.4
Language：Japanese Presentation type：Oral presentation (general)
Awards 【 display / non-display 】
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Excellent Research Award
2019.3 The 10th Taiwa-Japan Joint Workshop for Young Scholars in Applied Mathematics The existence of rotating wave of a flame/smoldering-front evolution equation
Shunsuke Kobayashi
Award type：Award from international society, conference, symposium, etc.
Grant-in-Aid for Scientific Research 【 display / non-display 】
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固体可燃物の形状を考慮した燃焼モデルの確立ならびに防災へ向けた応用可能性の開拓
Grant number：24K16964 2024.04 - 2027.03
独立行政法人日本学術振興会 科学研究費基金 若手研究
Authorship：Principal investigator
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円形燻り燃焼に現れるパターンダイナミクスの解明へ向けた数理モデリングと数理解析
Grant number：20K22307 2020.04 - 2024.03
独立行政法人日本学術振興会 科学研究費補助金 研究活動スタート支援
Authorship：Principal investigator