Rchr
J-GLOBAL ID:201901019538226570   Update date: Apr. 16, 2024

Fukuda Ikki

フクダ イッキ | Fukuda Ikki
Affiliation and department:
Job title: Lecturer
Homepage URL  (1): https://soar-rd.shinshu-u.ac.jp/profile/ja.ZpDmbUkh.html
Research field  (1): Mathematical analysis
Research keywords  (1): Nonlinear Partial Differential Equations
Research theme for competitive and other funds  (5):
  • 2022 - 2027 Asymptotic analysis for partial differential equations of nonlinear waves with dissipation and dispersion
  • 2020 - 2022 Asymptotic analysis of Burgers-type equations with spatial anisotropy in higher dimensions
  • 2019 - 2020 Consideration on the asymptotic behavior of the solutions to the Zakharov-Kuznetsov-Burgers equation
  • 2018 - 2020 Construction of the second asymptotic profile of the global solution to the initial value problem for viscous conservation law with dispersive effects
  • 2018 - 2019 Stability analysis for some system of delay differential equations and its application to chemistry
Papers (10):
  • Ikki Fukuda, Hiroyuki Hirayama. Optimal decay estimate and asymptotic profile for solutions to the generalized Zakharov-Kuznetsov-Burgers equation in 2D. arXiv.2311.12374. 2023
  • Ikki Fukuda. Asymptotic profiles of solutions for the generalized Fornberg-Whitham equation with dissipation. Journal of Mathematical Analysis and Applications. 2023. 527. 1P1. 127427
  • Ikki Fukuda, Hiroyuki Hirayama. Large time behavior and optimal decay estimate for solutions to the generalized Kadomtsev-Petviashvili-Burgers equation in 2D. Nonlinear Analysis. 2023. 234. C. 113322
  • Ikki Fukuda, Yota Irino. Higher-order asymptotic profiles for solutions to the Cauchy problem for a dispersive-dissipative equation with a cubic nonlinearity. arXiv.2211.04667. 2022
  • Ikki Fukuda, Masahiro Ikeda. Large time behavior of solutions to the Cauchy problem for the BBM-Burgers equation. Journal of Differential Equations. 2022. 336. C. 275-314
more...
MISC (14):
  • Shinya Sato, Ikki Fukuda. Asymptotic behavior of solutions to the convection-diffusion equation. The 20th Mathematics Conference for Young Researchers: MCYR19 -Hokkaido University Technical Report Series in Mathematics-. 2024. 186. 281-290
  • Hiromichi Ohno, Ikki Fukuda. Analysis of Mathematics in the 2023 Shinshu University Entrance Examination for the Faculty of Engineering. Teaching Research, Shinshu University Teacher Support Center. 2024. 第15号. 1-14
  • Yota Irino, Ikki Fukuda. Higher-order asymptotic profiles for solutions to a dispersive-dissipative equation with a cubic nonlinearity. The 19th Mathematics Conference for Young Researchers: MCYR19 -Hokkaido University Technical Report Series in Mathematics-. 2023. 184. 307-316
  • Ikki Fukuda. Asymptotic analysis for solutions to the generalized Fornberg-Whitham equation with dissipation. Proceedings of the 41st JSST Annual International Conference on Simulation Technology. 2022. 44-47
  • Naoya Irisawa, Ikki Fukuda. Stability analysis for a system of fractional differential equations with off-diagonal delays. The 17th Mathematics Conference for Young Researchers: MCYR17 -Hokkaido University Technical Report Series in Mathematics-. 2021. 180. 479-488
more...
Books (1):
  • The 15th Mathematics Conference for Young Researchers: MCYR15 -Hokkaido University Technical Report Series in Mathematics- Series 176
    Hokkaido University 2019
Lectures and oral presentations  (71):
  • Optimal decay estimate and asymptotic profile for solutions to the generalized Zakharov-Kuznetsov-Burgers equation in 2D
    (Kyushu Functional Equation Seminar 2024)
  • Large time behavior of solutions to the generalized Zakharov-Kuznetsov-Burgers equation
    (Matsumoto Symposium on Partial Differential Equations 2023)
  • Large time behavior and optimal decay estimate for solutions to the Cauchy problem for generalized Zakharov-Kuznetsov-Burgers equation
    (MSJ Autumn Meeting 2023 2023)
  • Asymptotic behavior of solutions to the generalized Zakharov-Kuznetsov-Burgers equation
    (Large time behavior of solutions to nonlinear dispersive and hyperbolic partial differential equations 2023)
  • Higher-order asymptotic profiles for solutions to the generalized Fornberg-Whitham equation with dissipation
    (The 116th Gifu Mathematical Science Seminar 2023)
more...
Education (4):
  • 2017 - 2020 Hokkaido University Graduate School of Science Department of Mathematics, Doctoral Course
  • 2015 - 2017 Hokkaido University Graduate School of Science Department of Mathematics, Master's Course
  • 2011 - 2015 Niigata University Faculty of Education Schoolteacher Education
  • 2008 - 2011 Shibukawa High School General Course
Professional career (1):
  • Doctor of Science (Hokkaido University)
Work history (3):
  • 2023/04 - 現在 Shinshu University Division of Mathematics and Physics, Faculty of Engineering Lecturer
  • 2020/04 - 2023/03 Shinshu University Division of Mathematics and Physics, Faculty of Engineering Assistant Professor
  • 2018/04 - 2020/03 Hokkaido University Graduate School of Science Japan Society for the Promotion of Science, Research Fellow DC2
Awards (3):
  • 2019/08 - The 9th Science and Engineering Young Seminar in National Institute of Technology, Kushiro College Student Best Presentation Award
  • 2018/05 - Graduate School of Science, Hokkaido University Distinguished Student Award
  • 2018/02 - The 19th Northeastern Symposium on Mathematical Analysis Poster Award
Association Membership(s) (1):
The Mathematical Society of Japan
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