Rchr
J-GLOBAL ID：201901019538226570
Update date: Mar. 20, 2026
Fukuda Ikki
フクダ イッキ | Fukuda Ikki
Affiliation and department：
Job title：
Associate Professor
Homepage URL (1)：
https://www.shinshu-u.ac.jp/faculty/engineering/appl/
Research field (1)：
Mathematical analysis
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 (13)：
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Ikki Fukuda. Asymptotic profile of solutions to the Cauchy problem for the generalized Kadomtsev-Petviashvili equations with anisotropic dissipation in 2D. arXiv.2603.00956. 2026
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Ikki Fukuda, Yoshiki Kagaya, Yuki Ueda. Higher-order asymptotic expansion with error estimate for the multidimensional Laplace-type integral under perturbations. arXiv.2504.01310. 2025
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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. Funkcialaj Ekvacioj. 2025. 68. 1. 45-68
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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. Proceedings of the conference "Critical Phenomena in Nonlinear Partial Differential Equations, Harmonic Analysis, and Functional Inequalities". 2024. (accepted)
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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
ｍore...
MISC (15)：
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Yusuke Kunimoto, Ikki Fukuda. Numerical simulations of the generalized Zakharov-Kuznetsov equation with anisotropic dissipation in 2D. The 44th JSST Annual International Conference on Simulation Technology, Conference Proceedings. 2025. 97-102
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Ikki Fukuda, Yoshiki Kagaya. Higher-order asymptotic expansions for Laplace’s integral and their error estimates. The 43rd JSST Annual International Conference on Simulation Technology, Conference Proceedings. 2024. 502-508
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Yusuke Kunimoto, Ikki Fukuda. Mathematical and numerical analysis for some nonlinear second-order ordinary differential equations of Duffing type. The 43rd JSST Annual International Conference on Simulation Technology, Conference Proceedings. 2024. 494-501
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Shinya Sato, Ikki Fukuda. Asymptotic behavior of solutions to the convection-diffusion equation. Hokkaido University Technical Report Series in Mathematics -The 20th Mathematics Conference for Young Researchers: MCYR19-. 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. 15. 1-14
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Books (1)：
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Hokkaido University Technical Report Series in Mathematics 176 -The 15th Mathematics Conference for Young Researchers: MCYR15-
Hokkaido University 2019
Lectures and oral presentations (88)：
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Asymptotic profile of solutions to the generalized KP equation with anisotropic dissipation (short communication)
(The 5th Shinshu Wakasato Seminar on Partial Differential Equations 2026)
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Asymptotic profile of solutions to the generalized KP equation with anisotropic dissipation
(New trend in functional equations 2026 2026)
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A remark on the optimality of the decay rate for solutions to the generalized KP equation with anisotropic dissipation
(The 15th Muroran Symposium on Nonlinear Analysis 2025)
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Numerical calculation of the generalized Zakharov-Kuznetsov equation with anisotropic dissipation
(Kagurazaka Symposium on Partial Differential Equations 2025)
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Numerical simulations of the generalized Zakharov-Kuznetsov equation with anisotropic dissipation in 2D
(The 44th JSST Annual International Conference on Simulation Technology 2025)
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 (4)：
- 2025/04 - 現在 Shinshu University Division of Mathematics and Physics, Faculty of Engineering Associate Professor
- 2023/04 - 2025/03 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)：
- 2026/01 - Japan Society for Simulation Technology JSST2025 Outstanding 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
