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Ikki Fukuda|Shinshu University Researcher List

Ikki Fukuda

Academic Assembly, School of Science and Technology, Institute of Engineering

Faculty of Engineering Engineering Core Division 

Lecturer 

Degree

  • Doctor of Science, Hokkaido University

Research Keyword

    Nonlinear Partial Differential Equations

Field Of Study

  • Mathematical analysis, Partial Differential Equations

TEL

    026-269-5568

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

Award

  • 2018
    Graduate School of Science, Hokkaido University, Distinguished Student Award
    Others
    Ikki Fukuda
  • 2018
    The 19th Northeastern Symposium on Mathematical Analysis, Poster Award
    International society
    Ikki Fukuda

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リポジトリ
  • Optimal decay estimate and asymptotic profile for solutions to the generalized Zakharov−Kuznetsov−Burgers equation in 2D
    Ikki Fukuda; Hiroyuki Hirayama
    Nonlinear Analysis: Real World Applications, 79, 104130, 2024, Refereed, Not invited
    Lead, Correspondingリポジトリ電子ジャーナル
  • Higher-order asymptotic profiles for solutions to the Cauchy problem for a dispersive-dissipative equation with a cubic nonlinearity
    Ikki Fukuda; Yota Irino
    Funkcialaj Ekvacioj, (accepted), 2024, Refereed, Not invited
    Lead, Correspondingリポジトリ
  • Asymptotic profiles of solutions for the generalized Fornberg−Whitham equation with dissipation
    Ikki Fukuda
    Journal of Mathematical Analysis and Applications, 527(1P1), 127427, 2023, Refereed, Not invited
    Lead, Correspondingリポジトリ電子ジャーナル
  • Large time behavior and optimal decay estimate for solutions to the generalized Kadomtsev−Petviashvili−Burgers equation in 2D
    Ikki Fukuda; Hiroyuki Hirayama
    Nonlinear Analysis, 234(C), 113322, 2023, Refereed, Not invited
    Lead, Correspondingリポジトリ電子ジャーナル
  • Large time behavior of solutions to the Cauchy problem for the BBM–Burgers equation
    Ikki Fukuda; Masahiro Ikeda
    Journal of Differential Equations, 336(C), 275-314, 2022, Refereed, Not invited
    Lead, Correspondingリポジトリ電子ジャーナル
  • Stability criteria for the system of delay differential equations and its applications
    Ikki Fukuda; Yuya Kiri; Wataru Saito; Yoshihiro Ueda
    Osaka Journal of Mathematics, 59(1), 235-251, 2022, Refereed, Not invited
    Lead, Correspondingリポジトリ
  • Higher-order asymptotic profiles of the solutions to the viscous Fornberg−Whitham equation
    Ikki Fukuda; Kenta Itasaka
    Nonlinear Analysis, 204(C), 112200, 2021, Refereed, Not invited
    Lead, Correspondingリポジトリ電子ジャーナル
  • Large time behavior of solutions to a nonlinear hyperbolic relaxation system with slowly decaying data
    Ikki Fukuda
    Mathematical Methods in the Applied Sciences, 43(8), 5532-5563, 2020, Refereed, Not invited
    Lead, Correspondingリポジトリ電子ジャーナル
  • Asymptotic behavior of solutions to the generalized KdV–Burgers equation with slowly decaying data
    Ikki Fukuda
    Journal of Mathematical Analysis and Applications, 480(2), 123446, 2019, Refereed, Not invited
    Lead, Correspondingリポジトリ電子ジャーナル
  • Asymptotic behavior of solutions to the generalized KdV–Burgers equation
    Ikki Fukuda
    Osaka Journal of Mathematics, 56(4), 883-906, 2019, Refereed, Not invited
    Lead, Correspondingリポジトリ

MISC

  • Higher-order asymptotic expansions for Laplace’s integral and their error estimates
    Ikki Fukuda; Yoshiki Kagaya
    The 43rd JSST Annual International Conference on Simulation Technology, Conference Proceedings, 502 - 508, Sep. 2024, Refereed, Not invited
    Lead, Correspondingリポジトリ
  • Mathematical 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, Conference Proceedings, 494 - 501, Sep. 2024, Refereed, Not invited
    Correspondingリポジトリ
  • 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リポジトリ電子ジャーナル
  • Analysis of Mathematics in the 2023 Shinshu University Entrance Examination for the Faculty of Engineering
    Hiromichi Ohno; Ikki Fukuda
    Teaching Research, Shinshu University Teacher Support Center, 第15号, 1 - 14, Mar. 2024, Refereed, Not invited
    Leadリポジトリ
  • 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リポジトリ電子ジャーナル
  • 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リポジトリ
  • 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リポジトリ電子ジャーナル
  • 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リポジトリ電子ジャーナル
  • 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リポジトリ
  • Asymptotic behavior of solutions to the damped wave equation with a convection term
    Ikki Fukuda
    The 41st Evolution Equation Young Seminar Report Series, 129 - 136, Feb. 2020, Not invited
    Lead, Correspondingリポジトリ
  • Asymptotic stability and stability switching for a system of delay differential equations
    Wataru Saito; Ikki Fukuda
    2019 International Conference on Future Information & Communication Engineering, 11(1), 44 - 50, Jun. 2019, Refereed, Not invited
    https://arxiv.org/abs/1904.05704
    Correspondingリポジトリ
  • Large time behavior of solutions toward a nonlinear diffusion wave for the damped wave equation with a convection term
    Ikki Fukuda
    Proceedings of the Ninth International Conference on Information (Information'2018), 29 - 32, Dec. 2018, Refereed, Not invited
    Lead, Correspondingリポジトリ
  • 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リポジトリ電子ジャーナル
  • Sharp asymptotics for the generalized KdV–Burgers equation
    Ikki Fukuda
    The 39th Evolution Equation Young Seminar Report Series, 173 - 182, Nov. 2017, Not invited
    Lead, Correspondingリポジトリ
  • 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リポジトリ電子ジャーナル
  • 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リポジトリ電子ジャーナル

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. 2019
    リポジトリ電子ジャーナル

Lectures, 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, Invited
  • Higher-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 invited
  • Higher-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 invited
  • Mathematical 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 invited
  • Higher-order asymptotic profiles of solutions to the convection-diffusion equation with variable diffusion
    Ikki Fukuda, Shinya Sato
    MSJ Autumn Meeting 2024, Sep. 2024, Not invited
  • Large time asymptotic behavior of solutions to the nonlinear convection-diffusion equation
    Ikki Fukuda
    ANCA Seminar, Aug. 2024, Invited
  • Optimal decay estimate and asymptotic profile for solutions to the generalized Zakharov–Kuznetsov–Burgers equation in 2D
    Ikki Fukuda
    Kyushu Functional Equation Seminar, Jan. 2024, Invited
  • Large time behavior of solutions to the generalized Zakharov–Kuznetsov–Burgers equation
    Ikki Fukuda
    Matsumoto Symposium on Partial Differential Equations, Oct. 2023, Not invited
  • Large 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 invited
  • Asymptotic 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, Invited
  • Higher-order asymptotic profiles for solutions to the generalized Fornberg−Whitham equation with dissipation
    Ikki Fukuda
    The 116th Gifu Mathematical Science Seminar, Sep. 2023, Invited
  • Large 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 invited
  • On 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 invited
  • Large 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 invited
  • Asymptotic analysis for solutions to a dispersive-dissipative equation
    Ikki Fukuda
    Shinshu Wakasato Symposium on Mathematical Analysis, Feb. 2023, Not invited
  • Large 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, Invited
  • Higher-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 invited
  • Large 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, Invited
  • Asymptotic analysis for solutions to the generalized Fornberg−Whitham equation with dissipation
    Ikki Fukuda
    The 11th Shinshu Symposium on Functional Analysis, Nov. 2022, Invited
  • Large 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, Invited
  • On the optimal decay estimate for solutions to the generalized KP−Burgers equation in 2D
    Ikki Fukuda
    Hokkaido University PDE Seminar (Online), Oct. 2022, Invited
  • Asymptotic behavior of solutions to the Cauchy problem for the BBM–Burgers equation
    Ikki Fukuda; Masahiro Ikeda
    MSJ Autumn Meeting 2022, Sep. 2022, Not invited
  • Asymptotic 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, Invited
  • Higher-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 invited
  • Higher-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, Invited
  • Asymptotic behavior of the solutions to the Burgers equation with a fractional dispersion term
    Ikki Fukuda
    South Osaka Applied Mathematics Seminar (Online), Dec. 2021, Invited
  • Asymptotic behavior of solutions to the BBM−Burgers equation in high space dimensions
    Ikki Fukuda
    Handayama Symposium on Partial Differential Equations (Online), Oct. 2021, Not invited
  • Asymptotic 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, Invited
  • Effect 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, Invited
  • Higher-order asymptotic profiles of the solutions to the viscous Fornberg−Whitham equation
    Ikki Fukuda
    Kyoto University NLPDE Seminar (Online), Nov. 2020, Invited
  • Higher-order asymptotic profiles of the solutions to the viscous Fornberg−Whitham equation
    Ikki Fukuda
    The 168th Kagurazaka Analysis Seminar (Online), Oct. 2020, Invited
  • Asymptotic behavior of solutions to the damped wave equation with a nonlinear convection term
    Ikki Fukuda
    Nonlinear Wave Seminar (Online), Oct. 2020, Invited
  • Higher-order asymptotic profiles of the solutions to the viscous Fornberg−Whitham equation
    Ikki Fukuda
    Hokkaido University PDE Seminar (Online), Jul. 2020, Invited
  • Large time behavior of solutions to the viscous Fornberg−Whitham equation
    Ikki Fukuda
    The 21th Northeastern Symposium on Mathematical Analysis, Feb. 2020, Not invited
  • Large time behavior of solutions to the viscous Fornberg−Whitham equation
    Ikki Fukuda
    Partial Differential Equations and Mathematical Analysis for Young Researchers, Feb. 2020, Invited
  • Large time behavior of solutions to a nonlinear hyperbolic relaxation system
    Ikki Fukuda
    The 9th Hirosaki Symposium on Nonlinear Equations, Nov. 2019, Invited
  • Large time behavior of solutions to a nonlinear hyperbolic relaxation system with slowly decaying data
    Ikki Fukuda
    Mini-Workshop "Mathematical Physics and PDEs”, Nov. 2019, Invited
  • Large 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, Invited
  • Asymptotic behavior of solutions to the damped wave equation with a convection term
    Ikki Fukuda
    MSJ Autumn Meeting 2019, Sep. 2019, Not invited
  • Asymptotic behavior of solutions to the damped wave equation with a convection term
    Ikki Fukuda
    The 41st Evolution Equation Young Seminar, Aug. 2019, Not invited
  • Mathematical 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 invited
  • Asymptotic behavior of solutions to the damped wave equation with a convection term
    Ikki Fukuda
    Osaka University Seminar of Differential Equations, Jul. 2019, Invited
  • Large 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, Invited
  • Asymptotic 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, Invited
  • Asymptotic behavior of solutions to the damped wave equation with a convection term
    Ikki Fukuda
    Hiroshima Mathematical Analysis Seminar No.235, Jun. 2019, Invited
  • Asymptotic behavior of solutions to the generalized KdV–Burgers equation
    Ikki Fukuda
    The 2nd Mie Symposium on Nonlinear Wave Equation, May 2019, Invited
  • Asymptotic behavior of solutions to the damped wave equation with a convection term
    Ikki Fukuda
    The 2nd Mie Symposium on Nonlinear Wave Equation, May 2019, Invited
  • Large 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, Invited
  • Stability analysis for a system of delay differential equations and its applications
    Ikki Fukuda
    Kannojiyama Seminar 2019, Jan. 2019, Not invited
  • Large 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, Invited
  • Large 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 invited
  • Large 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, Invited
  • Asymptotic 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 invited
  • Asymptotic profile for the solutions to the generalized KdV–Burgers equation
    Ikki Fukuda
    University of Miyazaki MZ Seminar, Jul. 2018, Invited
  • Asymptotic behavior of the global solutions to the generalized KdV–Burgers equation
    Ikki Fukuda
    Tohoku University Only Student Seminar, Jun. 2018, Invited
  • Sharp asymptotics for the generalized KdVB equation with slowly decaying data
    Ikki Fukuda
    Hokkaido University PDE Seminar, May 2018, Not invited
  • Sharp asymptotics for the generalized KdV–Burgers equation with slowly decaying data
    Ikki Fukuda
    Nonlinear Wave and Dispersive Equations, May 2018, Invited
  • Mathematical Analysis for Nonlinear Waves
    Ikki Fukuda
    The 4th ALP-MD Joint Symposium, May 2018, Not invited
  • Large 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 invited
  • Second asymptotic profile for the solutions to the generalized KdV–Burgers equation
    Ikki Fukuda
    MSJ Spring Meeting 2018, Mar. 2018, Not invited
  • 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, Mar. 2018, Not invited
  • Asymptotic profile for the generalized KdV–Burgers equation with slowly decaying data
    Ikki Fukuda
    The 19th Northeastern Symposium on Mathematical Analysis, Feb. 2018, Not invited
  • Asymptotic profile for the generalized KdV–Burgers equation with slowly decaying data
    Ikki Fukuda
    PNU-HU Joint Symposium, Dec. 2017, Not invited
  • Asymptotic behavior of solutions to the generalized KdV–Burgers equation with polynomial decaying data
    Ikki Fukuda
    Shiroyama Seminar 2017, Oct. 2017, Not invited
  • Second 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 invited
  • Sharp asymptotics for the generalized KdV–Burgers equation
    Ikki Fukuda
    The 39th Evolution Equation Young Seminar, Sep. 2017, Not invited
  • Large time behavior of solutions to the viscous conservation law with dispersion
    Ikki Fukuda
    The 42nd Sapporo Symposium on Partial Differential Equations, Aug. 2017, Invited
  • Second term of asymptotics for generalized KdV–Burgers equation
    Ikki Fukuda
    Analysis for Nonlinear Problems in Sapporo, Aug. 2017, Invited
  • Asymptotic behavior of the solutions to the viscous conservation law with dispersion
    Ikki Fukuda
    Hokkaido University PDE Seminar, Jun. 2017, Not invited
  • Mathematical analysis for collective motion of molecular motors
    Ikki Fukuda
    On the principle of self-organization in genuinely complex systems, May 2017, Not invited
  • Asymptotic behavior of solutions to the generalized KdV–Burgers equation
    Ikki Fukuda
    The 7th Muroran Institute of Technology Applied Analysis Seminar, Mar. 2017, Invited
  • Asymptotic behavior of solutions to the generalized Korteweg-de Vries–Burgers equation
    Ikki Fukuda
    The 13th Mathematics Conference for Young Researchers, Feb. 2017, Not invited
  • Asymptotic behavior of solution to the generalized Korteweg-de Vries–Burgers equation
    Ikki Fukuda
    The 18th Northeastern Symposium on Mathematical Analysis, Feb. 2017, Not invited
  • Asymptotic behavior of solutions to the generalized Korteweg-de Vries–Burgers equation
    Ikki Fukuda
    Toward mathematical model for self-organization with constrains, Nov. 2016, Not invited
  • Asymptotic 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 invited
  • Large time behavior of solutions to the viscous conservation law
    Ikki Fukuda
    Pisa-Hokkaido summer school on mathematics and its applications, Sep. 2016, Not invited
  • Large 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 invited

Courses

  • 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

Affiliated academic society

  • Apr. 2018 - Present
    The Mathematical Society of Japan

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/)