Ikki Fukuda
Academic Assembly, School of Science and Technology, Institute of Engineering
Faculty of Engineering Engineering Core Division
Lecturer
Researcher Information
Research Keyword
- Nonlinear Partial Differential Equations
TEL
- 026-269-5568
Web site
Career
- 2023 - Present
Shinshu University, Division of Mathematics and Physics, Faculty of Engineering, Lecturer - 2020 - 2023
Shinshu University, Division of Mathematics and Physics, Faculty of Engineering, Assistant Professor - 2018 - 2020
Hokkaido University, Graduate School of Science, Japan Society for the Promotion of Science, Research Fellow DC2
Educational Background
- 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
Research activity information
Award
Paper
- Higher-order asymptotic profiles of solutions to the Cauchy problem for the convection-diffusion equation with variable diffusion
Ikki Fukuda; Shinya Sato
Proceedings of the conference "Critical Phenomena in Nonlinear Partial Differential Equations, Harmonic Analysis, and Functional Inequalities", (accepted), 2024, Refereed, Not invited
Lead, Corresponding
MISC
- Asymptotic behavior of solutions to the convection-diffusion equation
Shinya Sato; Ikki Fukuda
The 20th Mathematics Conference for Young Researchers: MCYR19 -Hokkaido University Technical Report Series in Mathematics-, 186, 281 - 290, Mar. 2024, Not invited
https://www.math.sci.hokudai.ac.jp/~wakate/mcyr/2024/pdf/satoh_shinya.pdf
Lead - Higher-order asymptotic profiles for solutions to a dispersive-dissipative equation with a cubic nonlinearity
Yota Irino; Ikki Fukuda
The 19th Mathematics Conference for Young Researchers: MCYR19 -Hokkaido University Technical Report Series in Mathematics-, 184, 307 - 316, Mar. 2023, Not invited
https://www.math.sci.hokudai.ac.jp/~wakate/mcyr/2023/pdf/irino_yota.pdf
Lead - Asymptotic analysis for solutions to the generalized Fornberg–Whitham equation with dissipation
Ikki Fukuda
The 41st JSST Annual International Conference on Simulation Technology, Conference Proceedings, 44 - 47, Aug. 2022, Refereed, Not invited
https://jsst.jp/conference/proceedings/JSST2022Proceedings_Oral.pdf
Lead, Corresponding - Stability analysis for a system of fractional differential equations with off-diagonal delays
Naoya Irisawa; Ikki Fukuda
The 17th Mathematics Conference for Young Researchers: MCYR17 -Hokkaido University Technical Report Series in Mathematics-, 180, 479 - 488, Mar. 2021, Not invited
https://www.math.sci.hokudai.ac.jp/~wakate/mcyr/2021/pdf/irisawa_naoya.pdf
Lead - Higher-order asymptotic profiles of the solutions to the viscous Fornberg−Whitham equation
Kenta Itasaka; Ikki Fukuda
The 17th Mathematics Conference for Young Researchers: MCYR17 -Hokkaido University Technical Report Series in Mathematics-, 180, 387 - 396, Mar. 2021, Not invited
https://www.math.sci.hokudai.ac.jp/~wakate/mcyr/2021/pdf/itasaka_kenta.pdf
Lead - Large time behavior of solutions to the nonlinear hyperbolic relaxation system with slowly decaying data
Ikki Fukuda
RIMS Kôkyûroku -Mathematical Analysis in Fluid and Gas Dynamics-, 2155, 66 - 81, Apr. 2020, Invited
https://repository.kulib.kyoto-u.ac.jp/dspace/bitstream/2433/261287/1/2155-06.pdf
Lead, Corresponding - Large time behavior of solutions to the viscous conservation law with dispersion and polynomial decaying data
Ikki Fukuda
The 14th Mathematics Conference for Young Researchers: MCYR14 -Hokkaido University Technical Report Series in Mathematics-, 173, 267 - 272, Mar. 2018, Not invited
https://www.math.sci.hokudai.ac.jp/~wakate/mcyr/2018/pdf/004000_fukuda_ikki.pdf
Lead, Corresponding - Large time behavior of solutions to the viscous conservation law with dispersion
Ikki Fukuda
Proceedings of the 42nd Sapporo Symposium on Partial Differential Equations: In memory of Professor Taira Shirota -Hokkaido University Technical Report Series in Mathematics-, 171, 59 - 66, Aug. 2017, Invited
https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/67180/1/tech171.pdf
Lead, Corresponding - Asymptotic behavior of solutions to the generalized Korteweg-de Vries–Burgers equation
Ikki Fukuda
The 13th Mathematics Conference for Young Researchers: MCYR13 -Hokkaido University Technical Report Series in Mathematics-, 168, 349 - 356, Mar. 2017, Not invited
https://www.math.sci.hokudai.ac.jp/~wakate/mcyr/2017/pdf/05000_fukuda_ikki.pdf
Lead, Corresponding
Books and other publications
- The 15th Mathematics Conference for Young Researchers: MCYR15 -Hokkaido University Technical Report Series in Mathematics- 176
Ikki Fukuda; Masamitsu Aoki; Yuki Ueda; Yoshinori Kamijima; Toshifumi Yabu; Takayuki Niimura; Naoto Satoh; Hisayoshi Toyokawa; Koki Matsuzaka; So Yamagata; Keisuke Yoshida, Joint editor
Hokkaido University, Mar. 2019Lectures, oral presentations, etc.
- Higher-order asymptotic profiles of solutions to the Cauchy problem for the convection-diffusion equation with variable diffusion
Ikki Fukuda
Workshop on Elliptic & Parabolic PDEs 2024, Nov. 2024, InvitedHigher-order asymptotic profiles of solutions to the nonlinear convection-diffusion equation with variable diffusion
Ikki Fukuda
Minamiosawa Symposium on Partial Differential Equations, Oct. 2024, Not invitedHigher-order asymptotic expansions for Laplace’s integral and their error estimates
Ikki Fukuda; Yoshiki Kagaya
The 43rd JSST Annual International Conference on Simulation Technology & The 23rd Asia Simulation Conference, Sep. 2024, Not invitedMathematical and numerical analysis for some nonlinear second-order ordinary differential equations of Duffing type
Yusuke Kunimoto; Ikki Fukuda
The 43rd JSST Annual International Conference on Simulation Technology & The 23rd Asia Simulation Conference, Sep. 2024, Not invitedHigher-order asymptotic profiles of solutions to the convection-diffusion equation with variable diffusion
Ikki Fukuda, Shinya Sato
MSJ Autumn Meeting 2024, Sep. 2024, Not invitedLarge time asymptotic behavior of solutions to the nonlinear convection-diffusion equation
Ikki Fukuda
ANCA Seminar, Aug. 2024, InvitedOptimal decay estimate and asymptotic profile for solutions to the generalized Zakharov–Kuznetsov–Burgers equation in 2D
Ikki Fukuda
Kyushu Functional Equation Seminar, Jan. 2024, InvitedLarge time behavior of solutions to the generalized Zakharov–Kuznetsov–Burgers equation
Ikki Fukuda
Matsumoto Symposium on Partial Differential Equations, Oct. 2023, Not invitedLarge time behavior and optimal decay estimate for solutions to the Cauchy problem for generalized Zakharov–Kuznetsov–Burgers equation
Ikki Fukuda, Hiroyuki Hirayama
MSJ Autumn Meeting 2023, Sep. 2023, Not invitedAsymptotic behavior of solutions to the generalized Zakharov–Kuznetsov–Burgers equation
Ikki Fukuda
Large time behavior of solutions to nonlinear dispersive and hyperbolic partial differential equations, Sep. 2023, InvitedHigher-order asymptotic profiles for solutions to the generalized Fornberg−Whitham equation with dissipation
Ikki Fukuda
The 116th Gifu Mathematical Science Seminar, Sep. 2023, InvitedLarge time behavior of solutions to the generalized Zakharov−Kuznetsov−Burgers equation in 2D
Ikki Fukuda
One day workshop on Nonlinear wave equations, Jul. 2023, Not invitedOn the control of the asymptotic behavior for the solutions to a dispersive-dissipative equation by external force
Ikki Fukuda
Shibata Workshop on Partial Differential Equations, Mar. 2023, Not invitedLarge time behavior and optimal decay estimate for solutions to the Cauchy problem for the generalized KP−Burgers equation
Ikki Fukuda; Hiroyuki Hirayama
MSJ Spring Meeting 2023, Mar. 2023, Not invitedAsymptotic analysis for solutions to a dispersive-dissipative equation
Ikki Fukuda
Shinshu Wakasato Symposium on Mathematical Analysis, Feb. 2023, Not invitedLarge time behavior and optimal decay estimate for solutions to the generalized KP–Burgers equation in 2D
Ikki Fukuda
Kyushu Functional Equation Seminar (Online), Dec. 2022, InvitedHigher-order asymptotic profiles for solutions to a dispersive-dissipative equation with a cubic nonlinearity
Ikki Fukuda
Surugadai Symposium on Partial Differential Equations, Dec. 2022, Not invitedLarge time behavior and optimal decay estimate for solutions to the generalized KP−Burgers equation in 2D
Ikki Fukuda
Osaka University Seminar of Differential Equations, Dec. 2022, InvitedAsymptotic analysis for solutions to the generalized Fornberg−Whitham equation with dissipation
Ikki Fukuda
The 11th Shinshu Symposium on Functional Analysis, Nov. 2022, InvitedLarge time behavior and optimal decay estimate for solutions to the generalized KP−Burgers equation in 2D
Ikki Fukuda
The 781st Society of Applied Mathematics and Sciences (Waseda University), Nov. 2022, InvitedOn the optimal decay estimate for solutions to the generalized KP−Burgers equation in 2D
Ikki Fukuda
Hokkaido University PDE Seminar (Online), Oct. 2022, InvitedAsymptotic behavior of solutions to the Cauchy problem for the BBM–Burgers equation
Ikki Fukuda; Masahiro Ikeda
MSJ Autumn Meeting 2022, Sep. 2022, Not invitedAsymptotic analysis for solutions to the generalized Fornberg−Whitham equation with dissipation
Ikki Fukuda
The 41st JSST Annual International Conference on Simulation Technology (JSST2022) -Numerical Harmonic Analysis and Signal Processing- (Online), Aug. 2022, InvitedHigher-order asymptotic profiles of the solutions to the viscous Fornberg−Whitham equation
Ikki Fukuda; Kenta Itasaka
MSJ Spring Meeting 2022 (abstract submission only), Mar. 2022, Not invitedHigher-order asymptotic profiles of the solutions to the Burgers equation with a fractional dispersion term
Ikki Fukuda
The 13th Nagoya Workshop on Differential Equations (Online), Mar. 2022, InvitedAsymptotic behavior of the solutions to the Burgers equation with a fractional dispersion term
Ikki Fukuda
South Osaka Applied Mathematics Seminar (Online), Dec. 2021, InvitedAsymptotic behavior of solutions to the BBM−Burgers equation in high space dimensions
Ikki Fukuda
Handayama Symposium on Partial Differential Equations (Online), Oct. 2021, Not invitedAsymptotic behavior of the solutions to the Burgers equation with a fractional dispersion term
Ikki Fukuda
The 2nd Differential Equation Young Seminar in Daido University, Aug. 2021, InvitedEffect of a fractional dispersion term on the asymptotic behavior of the solutions to the Burgers type equations
Ikki Fukuda
The 22nd Northeastern Symposium on Mathematical Analysis (Online), Feb. 2021, InvitedHigher-order asymptotic profiles of the solutions to the viscous Fornberg−Whitham equation
Ikki Fukuda
Kyoto University NLPDE Seminar (Online), Nov. 2020, InvitedHigher-order asymptotic profiles of the solutions to the viscous Fornberg−Whitham equation
Ikki Fukuda
The 168th Kagurazaka Analysis Seminar (Online), Oct. 2020, InvitedAsymptotic behavior of solutions to the damped wave equation with a nonlinear convection term
Ikki Fukuda
Nonlinear Wave Seminar (Online), Oct. 2020, InvitedHigher-order asymptotic profiles of the solutions to the viscous Fornberg−Whitham equation
Ikki Fukuda
Hokkaido University PDE Seminar (Online), Jul. 2020, InvitedLarge time behavior of solutions to the viscous Fornberg−Whitham equation
Ikki Fukuda
The 21th Northeastern Symposium on Mathematical Analysis, Feb. 2020, Not invitedLarge time behavior of solutions to the viscous Fornberg−Whitham equation
Ikki Fukuda
Partial Differential Equations and Mathematical Analysis for Young Researchers, Feb. 2020, InvitedLarge time behavior of solutions to a nonlinear hyperbolic relaxation system
Ikki Fukuda
The 9th Hirosaki Symposium on Nonlinear Equations, Nov. 2019, InvitedLarge time behavior of solutions to a nonlinear hyperbolic relaxation system with slowly decaying data
Ikki Fukuda
Mini-Workshop "Mathematical Physics and PDEs”, Nov. 2019, InvitedLarge time behavior of solutions toward a nonlinear diffusion wave for the damped wave equation with a convection term
Ikki Fukuda
China-Japan Workshop for Younger Researchers on Nonlinear Diffusion Equations, Oct. 2019, InvitedAsymptotic behavior of solutions to the damped wave equation with a convection term
Ikki Fukuda
MSJ Autumn Meeting 2019, Sep. 2019, Not invitedAsymptotic behavior of solutions to the damped wave equation with a convection term
Ikki Fukuda
The 41st Evolution Equation Young Seminar, Aug. 2019, Not invitedMathematical analysis for collective motion of molecular motors
Ikki Fukuda
The 9th Science and Engineering Young Seminar in National Institute of Technology, Kushiro College, Aug. 2019, Not invitedAsymptotic behavior of solutions to the damped wave equation with a convection term
Ikki Fukuda
Osaka University Seminar of Differential Equations, Jul. 2019, InvitedLarge time behavior of solutions to the nonlinear hyperbolic relaxation system with slowly decaying data
Ikki Fukuda
Mathematical Analysis in Fluid and Gas Dynamics, Jul. 2019, InvitedAsymptotic stability and stability switching for a system of delay differential equations
Wataru Saito; Ikki Fukuda
The 12th International Conference on Future Information & Communication Engineering(ICFICE2019), Jun. 2019, InvitedAsymptotic behavior of solutions to the damped wave equation with a convection term
Ikki Fukuda
Hiroshima Mathematical Analysis Seminar No.235, Jun. 2019, InvitedAsymptotic behavior of solutions to the generalized KdV–Burgers equation
Ikki Fukuda
The 2nd Mie Symposium on Nonlinear Wave Equation, May 2019, InvitedAsymptotic behavior of solutions to the damped wave equation with a convection term
Ikki Fukuda
The 2nd Mie Symposium on Nonlinear Wave Equation, May 2019, InvitedLarge time behavior of solutions toward a nonlinear diffusion wave for the damped wave equation with a convection term
Ikki Fukuda
Kobe University Analysis Seminar, Mar. 2019, InvitedStability analysis for a system of delay differential equations and its applications
Ikki Fukuda
Kannojiyama Seminar 2019, Jan. 2019, Not invitedLarge time behavior of solutions toward a nonlinear diffusion wave for the damped wave equation with a convection term
Ikki Fukuda
The Ninth International Conference on Information (INFORMATION'2018) -Special Workshop on Harmonic Analysis and Applications-, Dec. 2018, InvitedLarge time behavior of the global solutions to the initial value problem for the viscous conservation law with dispersion
Ikki Fukuda
Different Fields Research Exchange Meeting for Young Researchers in Mathematics 2018, Nov. 2018, Not invitedLarge time behavior of solutions toward a nonlinear diffusion wave for the damped wave equation with a convection term
Ikki Fukuda
Reaction Diffusion Equations -Analysis of Propagation Phenomena and Singularity and its Application to Sciences-, Oct. 2018, InvitedAsymptotic behavior of solutions to the generalized KdV–Burgers equation with slowly decaying data
Ikki Fukuda
The 8th Science and Engineering Young Seminar in National Institute of Technology, Kushiro College, Aug. 2018, Not invitedAsymptotic profile for the solutions to the generalized KdV–Burgers equation
Ikki Fukuda
University of Miyazaki MZ Seminar, Jul. 2018, InvitedAsymptotic behavior of the global solutions to the generalized KdV–Burgers equation
Ikki Fukuda
Tohoku University Only Student Seminar, Jun. 2018, InvitedSharp asymptotics for the generalized KdVB equation with slowly decaying data
Ikki Fukuda
Hokkaido University PDE Seminar, May 2018, Not invitedSharp asymptotics for the generalized KdV–Burgers equation with slowly decaying data
Ikki Fukuda
Nonlinear Wave and Dispersive Equations, May 2018, InvitedMathematical Analysis for Nonlinear Waves
Ikki Fukuda
The 4th ALP-MD Joint Symposium, May 2018, Not invitedLarge time behavior of solutions to the generalized KdV–Burgers equation with slowly decaying data
Ikki Fukuda
Hokkaido University day at Zhejiang University, Zhejiang-Hokusai workshop, Mar. 2018, Not invitedSecond asymptotic profile for the solutions to the generalized KdV–Burgers equation
Ikki Fukuda
MSJ Spring Meeting 2018, Mar. 2018, Not invitedLarge time behavior of solutions to the viscous conservation law with dispersion and polynomial decaying data
Ikki Fukuda
The 14th Mathematics Conference for Young Researchers, Mar. 2018, Not invitedAsymptotic profile for the generalized KdV–Burgers equation with slowly decaying data
Ikki Fukuda
The 19th Northeastern Symposium on Mathematical Analysis, Feb. 2018, Not invitedAsymptotic profile for the generalized KdV–Burgers equation with slowly decaying data
Ikki Fukuda
PNU-HU Joint Symposium, Dec. 2017, Not invitedAsymptotic behavior of solutions to the generalized KdV–Burgers equation with polynomial decaying data
Ikki Fukuda
Shiroyama Seminar 2017, Oct. 2017, Not invitedSecond asymptotic profile of large time behavior of solutions to the generalized KdV–Burgers equation
Ikki Fukuda
Hakodate Symposium on Partial Differential Equations, Oct. 2017, Not invitedSharp asymptotics for the generalized KdV–Burgers equation
Ikki Fukuda
The 39th Evolution Equation Young Seminar, Sep. 2017, Not invitedLarge time behavior of solutions to the viscous conservation law with dispersion
Ikki Fukuda
The 42nd Sapporo Symposium on Partial Differential Equations, Aug. 2017, InvitedSecond term of asymptotics for generalized KdV–Burgers equation
Ikki Fukuda
Analysis for Nonlinear Problems in Sapporo, Aug. 2017, InvitedAsymptotic behavior of the solutions to the viscous conservation law with dispersion
Ikki Fukuda
Hokkaido University PDE Seminar, Jun. 2017, Not invitedMathematical analysis for collective motion of molecular motors
Ikki Fukuda
On the principle of self-organization in genuinely complex systems, May 2017, Not invitedAsymptotic behavior of solutions to the generalized KdV–Burgers equation
Ikki Fukuda
The 7th Muroran Institute of Technology Applied Analysis Seminar, Mar. 2017, InvitedAsymptotic behavior of solutions to the generalized Korteweg-de Vries–Burgers equation
Ikki Fukuda
The 13th Mathematics Conference for Young Researchers, Feb. 2017, Not invitedAsymptotic behavior of solution to the generalized Korteweg-de Vries–Burgers equation
Ikki Fukuda
The 18th Northeastern Symposium on Mathematical Analysis, Feb. 2017, Not invitedAsymptotic behavior of solutions to the generalized Korteweg-de Vries–Burgers equation
Ikki Fukuda
Toward mathematical model for self-organization with constrains, Nov. 2016, Not invitedAsymptotic behavior of solution to the generalized Korteweg-de Vries–Burgers equation
Ikki Fukuda
The 4th International Symposium on AMBITIOUS LEADER’S PROGRAM Fostering Future Leaders to Open New Frontiers in Materials Science, Nov. 2016, Not invitedLarge time behavior of solutions to the viscous conservation law
Ikki Fukuda
Pisa-Hokkaido summer school on mathematics and its applications, Sep. 2016, Not invitedLarge time behavior of solutions to the viscous conservation law
Ikki Fukuda
The 11th HU and SNU symposium on mathematics -Mathematical analysis and applications- as part of the 18th HU-SNU joint symposium, Nov. 2015, Not invitedCourses
- Advanced Applied Analysis (Differential Equations, Dynamical Systems)
2023 - Present
Graduate School, Shinshu University - Mathematics for Engineering III (Vector Analysis, Complex Analysis)
2023 - Present
Faculty of Engineering, Shinshu University - Mathematics for Engineering I (Ordinary Differential Equations, Laplace Transform)
2023 - Present
Faculty of Engineering, Shinshu University - Mathematical Idea (Statistics, Graph Theory, Cryptography, AI)
2022 - Present
The University of Nagano - Advanced Applied Mathematics, Sharing (Metric Space, Analysis)
2020 - Present
Graduate School, Shinshu University - Mathematics for Engineering II (Fourier Analysis, Vector Analysis)
2020 - Present
Faculty of Engineering, Shinshu University - Special Lecture A (Nonlinear Partial Differential Equations)
Sep. 2023
Graduate School, Gifu University - Special Topics in Advanced Science and Technology (Nonlinear Partial Differential Equations)
Aug. 2023
Graduate School, Niigata University - Linear Algebra II
2020 - 2022
School of General Education, Shinshu University - Special Lecture on Mathematical Analysis (Nonlinear Partial Differential Equations)
Aug. 2021
Faculty of Science, Niigata University - Applications of Analysis I (Ordinary Differential Equations, Laplace Transform)
Sep. 2020
Faculty of Education, Niigata University - Master Thesis
Graduate School, Shinshu University - Graduation Thesis
Faculty of Engineering, Shinshu University
Research Themes
- Asymptotic analysis for partial differential equations of nonlinear waves with dissipation and dispersion
Grants-in-Aid for Scientific Research, Japan Society for the Promotion of Science, Grant-in-Aid for Young Scientists
Shinshu University
Apr. 2022 - Mar. 2027 - Asymptotic analysis of Burgers-type equations with spatial anisotropy in higher dimensions
Grants-in-Aid for Scientific Research, Japan Society for the Promotion of Science, Grant-in-Aid for Research Activity Start-up
Shinshu University
Sep. 2020 - Mar. 2022 - Construction of the second asymptotic profile of the global solution to the initial value problem for viscous conservation law with dispersive effects
Grants-in-Aid for Scientific Research, Japan Society for the Promotion of Science, Grant-in-Aid for JSPS Fellows
Hokkaido University
Apr. 2018 - Mar. 2020
Academic Contribution Activities
- Shinshu Wakasato Symposium on Partial Differential Equations, Organizer
Oct. 2023 - Present - Differential Equation Young Seminar in Daido University, Organizer
May 2023 - Present - Shinshu Wakasato Symposium on Mathematical Analysis, Organizer
Jan. 2023 - Present - Cross Border Seminar for Young Researchers of Mathematical Analysis, Organizer
Oct. 2020 - Present - The 15th Mathematics Conference for Young Researchers, Representative Organizer
Apr. 2018 - Mar. 2019 - The 14th Mathematics Conference for Young Researchers, Organizer
Apr. 2017 - Mar. 2018
Others
- Lecture Notes (https://1drv.ms/f/s!ArllyB5jYluGgjKpkF-BQ--ndmYK?e=td308W)
- High School Teacher's License (Mathematics), Mar, 2015
- Junior High School Teacher's License (Mathematics), Mar, 2015
- Ambitious Leader's Program for Fostering Future Leaders to Open New Frontiers in Materials Science, Hokkaido University, Completed, Mar, 2023 (https://phdiscover.jp/hu/alp/)