Rchr
J-GLOBAL ID：201901019538226570
Update date: May. 04, 2024
Fukuda Ikki
フクダ イッキ | Fukuda Ikki
Affiliation and department：
Job title：
Lecturer
Homepage URL (1)：
https://www.shinshu-u.ac.jp/faculty/engineering/appl/
Research field (1)：
Mathematical analysis
Research keywords (1)：
Nonlinear Partial Differential Equations
Research theme for competitive and other funds (3)：
- 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
- 2018 - 2020 Construction of the second asymptotic profile of the global solution to the initial value problem for viscous conservation law with dispersive effects
Papers (11)：
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Ikki Fukuda, Shinya Sato. Higher-order asymptotic profiles of solutions to the Cauchy problem for the convection-diffusion equation with variable diffusion. arXiv.2405.00896v1. 2024
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Ikki Fukuda, Hiroyuki Hirayama. Optimal decay estimate and asymptotic profile for solutions to the generalized Zakharov-Kuznetsov-Burgers equation in 2D. Nonlinear Analysis: Real World Applications. 2024. 79. 104130
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Ikki Fukuda, Yota Irino. Higher-order asymptotic profiles for solutions to the Cauchy problem for a dispersive-dissipative equation with a cubic nonlinearity. arXiv.2211.04667v2. 2024
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Ikki Fukuda. Asymptotic profiles of solutions for the generalized Fornberg-Whitham equation with dissipation. Journal of Mathematical Analysis and Applications. 2023. 527. 1P1. 127427
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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
ｍore...
MISC (14)：
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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
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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
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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
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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
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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
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Books (1)：
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The 15th Mathematics Conference for Young Researchers: MCYR15 -Hokkaido University Technical Report Series in Mathematics- 176
Hokkaido University 2019
Lectures and oral presentations (71)：
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Optimal decay estimate and asymptotic profile for solutions to the generalized Zakharov-Kuznetsov-Burgers equation in 2D
(Kyushu Functional Equation Seminar 2024)
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Large time behavior of solutions to the generalized Zakharov-Kuznetsov-Burgers equation
(Matsumoto Symposium on Partial Differential Equations 2023)
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Large time behavior and optimal decay estimate for solutions to the Cauchy problem for generalized Zakharov-Kuznetsov-Burgers equation
(MSJ Autumn Meeting 2023 2023)
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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)
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Higher-order asymptotic profiles for solutions to the generalized Fornberg-Whitham equation with dissipation
(The 116th Gifu Mathematical Science Seminar 2023)
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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 (2)：
- 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
