Basic Information

Faculty

• Faculty of Science

Email Address

• Email Address

  shimizu.ikkei.8skyoto-u.ac.jp

Professional Memberships

• From Jan. 2018, To Present

  日本数学会 函数方程式分科会

Academic Degree

• 26 Mar. 2018

  京都大学修士（理学）
• 23 Mar. 2021

  京都大学博士（理学）

Academic Resume (Undergraduate School/Majors)

• 京都大学, 理学部理学科, 卒業

Research History

• From Oct. 2024, To Present

  Kyoto University, Graduate School of Science, Assistant Professor
• From Oct. 2023, To Sep. 2024

  The University of Osaka, Graduate School of Science, Researcher
• From Apr. 2023, To Sep. 2023

  The University of Osaka, Graduate School of Science, JSPS Research Fellow PD
• From Apr. 2021, To Mar. 2023

  The University of Osaka, Graduate School of Engineering Science, Researcher

ID,URL

• J-Global ID

  202501006725885220

• Researcher number

  50908514

researchmap URL

• https://researchmap.jp/ikkei_shimizu

Research

Research Areas

• Natural sciences, Mathematical analysis, Partial Differential Equations

Papers

• A remark on the long-time asymptotics of global-in-time solutions for semilinear parabolic equations in ${\mathbb {R}^N}$

  Michinori Ishiwata; Ikkei Shimizu

  Canadian Journal of Mathematics, 10 Oct. 2025, Peer-reviewed

  
• Multi-solitons for the nonlinear Schrödinger equation with repulsive Dirac delta potential

  Stephen Gustafson; Takahisa Inui; Ikkei Shimizu

  Nonlinear Differential Equations and Applications NoDEA, 29 Apr. 2025, Peer-reviewed

  
• Global dynamics below a threshold for the nonlinear Schrödinger equations with the Kirchhoff boundary and the repulsive Dirac delta boundary on a star graph

  Masaru Hamano; Masahiro Ikeda; Takahisa Inui; Ikkei Shimizu

  Partial Differential Equations and Applications, 26 Feb. 2024, Peer-reviewed

  
• Phase Transition Threshold and Stability of Magnetic Skyrmions

  Slim Ibrahim; Ikkei Shimizu

  Communications in Mathematical Physics, 07 Jul. 2023, Peer-reviewed

  
• Local well-posedness of the Landau–Lifshitz equation with helicity term

  Ikkei Shimizu

  Journal of Mathematical Physics, 01 Sep. 2022, Peer-reviewed

  
• Remarks on local theory for Schrödinger maps near harmonic maps

  Ikkei Shimizu

  Kodai Mathematical Journal, 01 Jun. 2020, Peer-reviewed

  
• On uniqueness for Schrödinger maps with low regularity large data

  Ikkei Shimizu

  Differential and Integral Equations, 01 May 2020, Peer-reviewed

  

Misc.

• Time decay estimates for localized perturbations around a helical state for the Landau-Lifshitz-Gilbert equation

  Ikkei Shimizu

  preprint, arXiv:2601.17941, Jan. 2026

  
• Phase transition thresholds and chiral magnetic fields of general degree

  Slim Ibrahim; Tatsuya Miura; Carlos Rom\'an; Ikkei Shimizu

  preprint, arXiv:2512.24598, Dec. 2025

  
• Global perturbation of isolated equivariant chiral skyrmions from the Bogomol'nyi case

  Slim Ibrahim; Ikkei Shimizu

  preprint, arXiv:2503.03209, Mar. 2025

  

Presentations

• Global perturbation of isolated equivariant chiral skyrmions from the Bogomol'nyi case

  Ikkei Shimizu

  Kyoto-CAU Joint Workshop on Nonlinear PDEs, 11 Feb. 2026, Invited

  
• Time decay estimate for localized perturbation around helical state for the Landau-Lifshitz-Gilbert equation

  Ikkei Shimizu

  One-day International Workshop on Dispersive Equations and Related Topics, 09 Jan. 2026, Invited

  
• Global perturbation of isolated equivariant chiral skyrmions from the Bogomol'nyi case

  清水一慶

  第20回浜松偏微分方程式研究集会, 22 Dec. 2025, Invited

  
• Global perturbation of isolated equivariant chiral skyrmions from the Bogomol'nyi case

  清水一慶

  東北大学応用数理解析セミナー, 13 Nov. 2025, Invited

  
• Bloch wave analysis of the linearized operator appearing in the Landau-Lifshitz-Gilbert equation

  清水一慶

  The 22nd Linear and Nonlinear Waves, 05 Nov. 2025, Invited

  
• Global perturbation of isolated equivariant chiral skyrmions from the Bogomol'nyi case

  Ikkei Shimizu

  Progress in modeling and analysis for nanomagnetism and related topics, 14 Oct. 2025, Invited

  
• Global perturbation of isolated equivariant chiral skyrmions from the harmonic maps

  Slim Ibrahim, Ikkei Shimizu

  2025年度日本数学会秋季総合分科会, 16 Sep. 2025

  
• デルタポテンシャル付き非線形シュレディンガー方程式における多重ソリトン解の構成

  清水一慶

  第2回北見数理科学研究会, 05 Sep. 2025, Invited

  
• Global perturbation of isolated equivariant chiral skyrmions from the harmonic maps

  Ikkei Shimizu

  Geometry and Probability 2025, 25 Jun. 2025, Invited

  
• On isolated skyrmion solutions to the Landau-Lifshitz equation

  清水 一慶

  熊本大学応用解析研究集会, 08 Feb. 2025, Invited

  
• On isolated skyrmion solutions to the Landau-Lifshitz equation

  清水 一慶

  微分方程式の総合的研究, 22 Dec. 2024, Invited

  
• Time decay estimate for localized perturbation around helical state for 2D Landau-Lifshitz-Gilbert equation

  清水 一慶

  九州関数方程式セミナー, 13 Dec. 2024, Invited

  
• On isolated skyrmion solutions to the Landau-Lifshitz equation

  Ikkei Shimizu

  Geometric Aspects of Partial Differential Equations, 09 Dec. 2024, Invited

  
• Time decay estimate for localized perturbation around helical state for 2D Landau-Lifshitz-Gilbert equation

  Ikkei Shimizu

  Workshop on nonlinear partial differential equations related to fluid dynamics, 27 Nov. 2024, Invited

  
• デルタポテンシャル付き非線形シュレディンガー方程式における多重ソリトン解の構成

  清水 一慶

  One day workshop on hyperbolic and dispersive PDEs, 22 Nov. 2024, Invited

  
• Time decay estimate for localized perturbation around helical state for 2D Landau-Lifshitz-Gilbert equation

  清水 一慶

  NLPDEセミナー, 04 Oct. 2024, Invited

  
• Multi-solitons for the nonlinear Schrödinger equation with repulsive Dirac delta potential

  Stephen Gustafson; 戍亥 隆恭; 清水 一慶

  2024年度日本数学会秋季総合分科会, 05 Sep. 2024

  
• Local well-posedness of the Landau-Lifshitz equation with helicity

  Ikkei Shimizu

  Energy, Entropy, and Dissipative Dynamics, 22 Aug. 2024, Invited

  
• Time decay estimate for localized perturbation around helical state for 2D Landau-Lifshitz-Gilbert equation

  清水 一慶

  大阪大学微分方程式セミナー, 26 Apr. 2024, Invited

  
• Time decay estimate for localized perturbation around helical state for 2D Landau-Lifshitz-Gilbert equation

  清水 一慶

  第95回東工大数理解析セミナー, 12 Apr. 2024, Invited

  
• A short survey on vortex dynamics for the Gross-Pitaevskii equation

  清水 一慶

  分散型方程式研究会, 13 Mar. 2024, Invited

  
• Phase transition threshold and stability of magnetic skyrmions

  清水 一慶

  第13回室蘭非線形解析研究会, 21 Jan. 2024, Invited

  
• On mathematical study of the Landau-Lifshitz energy with helicity term

  Ikkei Shimizu

  The Grad Conjecture in Fluid Mechanics and Magnetohydrodynamics: Theory and Applications, 26 Mar. 2024, Invited

  
• Phase transition threshold and stability of magnetic skyrmions

  清水 一慶

  神戸大学解析セミナー, 21 Dec. 2023

  
• デルタポテンシャル付き非線形シュレディンガー方程式における多重ソリトン解の構成

  清水 一慶

  若手研究者による実解析と偏微分方程式2023, 15 Dec. 2023, Invited

  
• Phase transition threshold and stability of magnetic skyrmions

  Ikkei Shimizu

  Online Seminars on PDEs and Harmonic Analysis, 25 Oct. 2023, Invited

  
• Phase transition threshold and stability of magnetic skyrmions

  清水 一慶

  第19回非線型の諸問題, 01 Sep. 2023, Invited

  
• Local well-posedness for the Landau-Lifshitz equation with helicity term

  Ikkei Shimizu

  Beijing-Osaka joint workshop for PDE and related topics, 30 Aug. 2023, Invited

  
• Phase transition threshold and stability of magnetic skyrmions

  清水 一慶

  第270回広島数理解析セミナー, 04 Aug. 2023, Invited

  
• Global dynamics below a threshold for the nonlinear Schrödinger equations with the Kirchhoff boundary and the repulsive Dirac delta boundary on a star graph

  清水 一慶

  第7回神楽坂非線形波動研究会, 25 May 2023, Invited

  
• Phase transition threshold and stability of magnetic skyrmions

  Slim Ibrahim, 清水 一慶

  2023年度日本数学会年会, 17 Mar. 2023

  
• Global dynamics below a threshold for the nonlinear Schrödinger equations with the Kirchhoff boundary and the repulsive Dirac delta boundary on a star graph

  浜野 大; 池田 正弘; 戍亥 隆恭; 清水 一慶

  2023年度日本数学会年会, 17 Mar. 2023

  
• ミクロな磁性をあらわす幾何学的偏微分方程式の数学解析

  清水 一慶

  数学と諸分野の連携にむけた若手数学者交流会2023, 13 Mar. 2023

  
• Phase transition threshold and stability of magnetic skyrmions

  清水 一慶

  第40回九州における偏微分方程式研究集会, 31 Jan. 2023, Invited

  
• Phase transition threshold and stability of magnetic skyrmions

  清水 一慶

  NLPDEセミナー, 13 Jan. 2023, Invited

  
• Phase transition threshold and stability of magnetic skyrmions

  清水 一慶

  Okayama Workshop on PDEs, 29 Oct. 2022, Invited

  
• Phase transition threshold and stability of magnetic skyrmions

  清水 一慶

  大阪大学微分方程式セミナー, 21 Oct. 2022, Invited

  
• Profile decomposition for the Schrödinger propagator on star graphs and its application to nonlinear problems

  Ikkei Shimizu

  Summer School on Variational Problems and Functional Inequalities, 21 Sep. 2022, Invited

  
• Profile decomposition for the Schrödinger propagator on star graphs and its application to nonlinear problems

  発展方程式における形状解析と漸近解析, 02 Aug. 2022, Invited

  
• Profile decomposition for the Schrödinger propagator on star graphs and its application to nonlinear problems

  清水 一慶

  調和解析と非線形偏微分方程式, 12 Jul. 2022, Invited

  
• Local well-posedness for the Landau-Lifshitz equation with helicity term

  清水 一慶

  第14回実解析と函数解析による微分方程式セミナー, 21 Dec. 2021, Invited

  
• On uniqueness for Schrödinger maps with low regularity large data

  清水 一慶

  発展方程式の広がり: 理論的基礎から実践的応用まで, 08 Oct. 2021, Invited

  
• Local well-posedness for the Landau-Lifshitz equation with helicity term

  清水 一慶

  熊本大学応用解析セミナー, 17 Jul. 2021, Invited

  
• Local well-posedness for the Landau-Lifshitz equation with helicity term

  清水 一慶

  東京大学解析学火曜セミナー, 08 Jun. 2021, Invited

  
• Local well-posedness for the Landau-Lifshitz equation with helicity term

  2021年度日本数学会年会, 17 Mar. 2021

  
• Local well-posedness for the Landau-Lifshitz equation with helicity term

  清水 一慶

  若手のための偏微分方程式と数学解析, 19 Feb. 2021, Invited

  
• Local well-posedness for the Landau-Lifshitz equation with helicity term

  Ikkei Shimizu

  2020 CMS Winter Meeting, 05 Dec. 2020, Invited

  
• Local well-posedness for Schrödinger maps with helicity terms

  Ikkei Shimizu

  Workshop on dispersive equations, 29 Sep. 2020, Invited

  
• Local well-posedness for Schrödinger maps with helicity terms

  Ikkei Shimizu

  Applied Math Seminar, 04 Mar. 2020, Invited

  
• On the Maxwell-Schrödinger system

  清水 一慶

  津田塾大学PDE研究会, 20 Feb. 2020, Invited

  
• Local well-posedness for Schrödinger maps with helicity terms

  清水 一慶

  Workshop on Analysis in Kagurazaka 2020, 24 Jan. 2020, Invited

  
• Local well-posedness for Schrödinger maps with helicity terms

  Ikkei Shimizu

  East Asian Core Doctoral Forum on Mathematics 2020, 14 Jan. 2020, Invited

  
• ヘリシティ項付きSchrödinger mapsの局所適切性について

  清水 一慶

  第11回白浜研究集会, 12 Dec. 2019, Invited

  
• Local well-posedness for Schrödinger maps with helicity terms

  清水 一慶

  Workshop on nonlinear wave equations and related topics in Kobe, 21 Nov. 2019, Invited

  
• Local well-posedness for Schrödinger maps with helicity terms

  Ikkei Shimizu

  Nonlinear and stochastic partial differential equations, 09 Nov. 2019, Invited

  
• On Schrödinger maps and the approach with differentiated fields

  清水 一慶

  Workshop on Nonlinear PDE in Numazu, 01 Jun. 2019, Invited

  
• Remarks on local theory for Schrödinger maps near harmonic maps

  Ikkei Shimizu

  2019 CAU-RIMS Joint Workshop on Nonlinear PDEs, 26 Apr. 2019, Invited

  
• Remarks on local theory for Schrödinger maps near harmonic maps

  Ikkei Shimizu

  2018 CMS Winter Meeting, 08 Dec. 2018, Invited

  
• Schrödinger maps方程式について

  清水 一慶

  OS特別セミナー, 05 Oct. 2018, Invited

  
• Remarks on local theory for Schrödinger maps near harmonic maps

  Ikkei Shimizu

  The 4th KTGU Mathematics Workshop for Young Researchers, 29 Sep. 2018, Invited

  
• Remarks on local theory for Schrödinger maps near harmonic maps

  清水 一慶

  非線形波動及び分散型方程式の研究, 23 May 2018, Invited

  
• Schrödinger map方程式の局所適切性について

  清水 一慶

  日本数学会年会, 21 Mar. 2018

  
• Remarks on local theory for Schrödinger maps near harmonic maps

  清水 一慶

  第19回北東数学解析研究集, 19 Feb. 2018, Invited

  
• Schrödinger mapの局所適切性について

  清水 一慶

  第9回白浜研究集会, 15 Jan. 2018, Invited

  
• Schrödinger mapsおよびCoulomb gaugeによる表現

  清水 一慶

  第8回白浜研究集会, 30 Nov. 2016, Invited

  

External funds: Kakenhi

• ミクロ磁性の非定常モデルにおける磁気ソリトン定常解の安定性解析

  Grant-in-Aid for Early-Career Scientists

  Basic Section 12020:Mathematical analysis-related

  Kyoto University

  清水 一慶

  From 01 Apr. 2026, To 31 Mar. 2031, Granted

  Landau-Lifshitzエネルギー;磁気ソリトン;安定性解析;スペクトル解析

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-26K17016/

Education

Teaching subject(s)

• From 01 Apr. 2026, To 31 Mar. 2027

  Calculus with Exercises A

  N149, Spring, Institute for Liberal Arts and Sciences, 3
• From 01 Apr. 2026, To 31 Mar. 2027

  International Workshop on Mathematics and Mathematical Sciences

  0578, Year-long, Graduate School of Science, 2
• From 01 Apr. 2026, To 31 Mar. 2027

  Exercises in Analysis II

  3185, Fall, Faculty of Science, 4
• From 01 Apr. 2025, To 31 Mar. 2026

  Exercises in Analysis I

  3184, Spring, Faculty of Science, 4
• From 01 Apr. 2025, To 31 Mar. 2026

  Calculus with Exercises A

  N149, Spring, Institute for Liberal Arts and Sciences, 3
• From 01 Apr. 2025, To 31 Mar. 2026

  Calculus with Exercises B

  N150, Fall, Institute for Liberal Arts and Sciences, 3

Part-time lecturer

• From 01 Oct. 2024, To 31 Mar. 2025

  摂南大学