Rchr
J-GLOBAL ID:200901033106295348   Update date: Dec. 06, 2023

KUTO Kousuke

クトウ コウスケ | KUTO Kousuke
Affiliation and department:
Job title: Professor
Homepage URL  (2): http://www.f.waseda.jp/kuto/http://www.kuto.e-one.uec.ac.jp/
Research field  (2): Basic analysis ,  Mathematical analysis
Research keywords  (14): degree ,  singular limit ,  spiky solution ,  transition layer ,  bifurcation ,  reaction diffusion equations ,  nonlinear diffusion ,  写像度 ,  特異摂動 ,  スパイク解 ,  遷移層 ,  分岐 ,  反応拡散方程式 ,  非線形拡散
Research theme for competitive and other funds  (13):
  • 2022 - 2025 交差拡散を伴う数理生物学モデルの近平衡系に対する解析基盤の構築
  • 2019 - 2023 ロトカ・ボルテラ系における交差拡散極限が導く定常解の多層構造の解明
  • 2015 - 2019 非線形拡散を伴うSKTモデルに現れる定常パターンの大域分岐構造
  • 2014 - 2019 Nonlinear analysis for a parabolic-parabolic chemotaxis-growth system of equations
  • 2014 - 2018 Elucidation of phenomena in the higher dimensional domain applying the reduced system and construction of the mathematical method
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Papers (46):
  • Jumpei Inoue, Kousuke Kuto, Homare Sato. Coexistence-segregation dichotomy in the full cross-diffusion limit of the stationary SKT model. Journal of Differential Equations. 2023. 373. 48-107
  • Kousuke Kuto. Global structure of steady-states to the full cross-diffusion limit in the Shigesada-Kawasaki-Teramoto model. Journal of Differential Equations. 2022. 333. 103-143
  • Kousuke Kuto, Kazuhiro Oeda. Bifurcation structure of coexistence states for a prey-predator model with large population flux by attractive transition. Proceedings of the Royal Society of Edinburgh: Section A Mathematics. 2022. 152. 4. 965-988
  • Kousuke Kuto. Full cross-diffusion limit in the stationary Shigesada-Kawasaki-Teramoto model. Annales de l'Institut Henri Poincaré C, Analyse non linéaire. 2021. 38. 6. 1943-1959
  • Jumpei Inoue, Kousuke Kuto. On the unboundedness of the ratio of species and resources for the diffusive logistic equation. Discrete & Continuous Dynamical Systems - B. 2021. 26. 5. 2441-2450
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MISC (1):
  • KUTO Kousuke, OSAKI Koichi, SAKURAI Tatsunari, TSUJIKAWA Tohru. Hexagonal Pattern Formation in a Chemotaxis-Diffusion-Growth Model. 2007. 2006. 1-11
Education (1):
  • 2000 - 2003 Waseda University Graduate School, Division of Science and Engineering Department of Mathematical Sciences
Professional career (2):
  • 修士(理学) (早稲田大学)
  • 博士(理学) (早稲田大学)
Work history (7):
  • 2019/04 - 現在 Waseda University Faculty of Science and Engineering
  • 2016/04 - 2019/03 The University of Electro-Communications Faculty of Informatics and Engineering Professor
  • 2010/10/01 - 2016/03/31 The University of Electro-Communications Faculty of Informatics and Engineering Associate Professor
  • 2007/04/01 - 2010/09/30 Fukuoka Institute of Technology Faculty of Engineering Associate Professor
  • 2005/04/01 - 2007/03/31 Fukuoka Institute of Technology Faculty of Engneering Lecturer
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Association Membership(s) (2):
The Mathematical Society of Japan ,  THE JAPAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS
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