Basic Information

Affiliated programs (koza)

• Graduate School of Science, 数学・数理解析専攻 数理解析基礎講座, 教授

Faculty

• 理学部

Academic Degree

• 修士（数理科学）(東京大学)
• 博士（数理科学）(東京大学)

Research History

• Kyoto University

Language of Instruction

• English
• Japanese

ID,URL

• J-Global ID

  201401024800460640

researchmap URL

• https://researchmap.jp/7000008615

Research

Research Topics, Overview of the research

• Research Topics

  Partial differential equations

• Overview of the research

  My research subject is mathematical analysis of partial differential equations, mainly of those called nonlinear wave equations or nonlinear dispersive equations, which describe space-time evolution of waves with strong interactions, arising in several physical contexts, such as plasma, superfluid, and water waves. Depending on the competition between the dispersion and the nonlinear interactions, a single equation can typically produce many types of solutions, such as scattering, solitons, and blow-up. In recent years, the ultimate goal of my research has been to grasp the entire picture of all general solutions to some equations. I am particularly interested in understanding and describing possible transitions in time between various types of solutions, as well as in the intermediate or threshold solutions in the phase space.

Research Areas

• Natural sciences, Mathematical analysis

Papers

• Global Dynamics Around 2-Solitons for the Nonlinear Damped Klein-Gordon Equations

  Kenjiro Ishizuka; Kenji Nakanishi

  Annals of PDE, 12 Dec. 2022, Peer-reviewed

  
• GLOBAL SOLUTIONS FOR NONLINEAR SCHRÖDINGER EQUATIONS WITH ARBITRARILY GROWING NONLINEARITY AND CONTRACTED INITIAL DATA

  NAKANISHI Kenji; OZAWA Tohru

  Kyushu J. Math., 2002

  
• Global wellposedness for the energy-critical Zakharov system below the ground state

  Timothy Candy; Sebastian Herr; Kenji Nakanishi

  Advances in Mathematics, Jun. 2021, Peer-reviewed

  
• Non-uniqueness for an energy-critical heat equation on $${\mathbb {R } }^2$$

  Slim Ibrahim; Hiroaki Kikuchi; Kenji Nakanishi; Juncheng Wei

  Mathematische Annalen, Jun. 2021, Peer-reviewed

  
• Failure of scattering to solitary waves for long-range nonlinear Schrödinger equations

  Jason Murphy; Kenji Nakanishi

  Discrete & Continuous Dynamical Systems - A, 2021, Peer-reviewed

  
• The Zakharov system in dimension $ d \geq 4$

  Timothy Candy; Sebastian Herr; Kenji Nakanishi

  Journal of the European Mathematical Society, 28 Jul. 2022, Peer-reviewed

  
• Sharp threshold nonlinearity for maximizing the Trudinger-Moser inequalities

  Slim Ibrahim; Nader Masmoudi; Kenji Nakanishi; Federica Sani

  Journal of Functional Analysis, Aug. 2019, Peer-reviewed

  
• Randomized final-data problem for Systems of Nonlinear Schrödinger Equations and the Gross-Pitaevskii Equation

  Kenji Nakanishi; Takuto Yamamoto

  Mathematical Research Letters, Jun. 2019, Peer-reviewed

  
• On the boundary Strichartz estimates for wave and Schrödinger equations

  Zihua Guo; Ji Li; Kenji Nakanishi; Lixin Yan

  J. Differential Equations, Dec. 2018, Peer-reviewed

  
• The Zakharov system in 4D radial energy space below the ground state

  Zihua Guo; Kenji Nakanishi

  American Journal of Mathematics, Oct. 2021, Peer-reviewed

  
• Scattering for the 3D Gross–Pitaevskii Equation

  Zihua Guo; Zaher Hani; Kenji Nakanishi

  Communications in Mathematical Physics, 01 Apr. 2018, Peer-reviewed

  
• Global dynamics below excited solitons for the nonlinear Schrodinger equation with a potential

  Kenji Nakanishi

  JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, Oct. 2017, Peer-reviewed

  
• Global Dynamics Above the First Excited Energy for the Nonlinear Schrodinger Equation with a Potential

  Kenji Nakanishi

  COMMUNICATIONS IN MATHEMATICAL PHYSICS, Aug. 2017, Peer-reviewed

  
• GLOBAL DYNAMICS ABOVE THE GROUND STATE FOR THE ENERGY-CRITICAL SCHRODINGER EQUATION WITH RADIAL DATA

  Kenji Nakanishi; Tristan Roy

  COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, Nov. 2016, Peer-reviewed

  
• Codimension One Threshold Manifold for the Critical gKdV Equation

  Yvan Martel; Frank Merle; Kenji Nakanishi; Pierre Raphael

  COMMUNICATIONS IN MATHEMATICAL PHYSICS, Mar. 2016, Peer-reviewed

  
• CORRECTION TO THE ARTICLE SCATTERING THRESHOLD FOR THE FOCUSING NONLINEAR KLEIN-GORDON EQUATION

  Slim Ibrahim; Nader Masmoudi; Kenji Nakanishi

  ANALYSIS & PDE, 2016, Peer-reviewed

  
• Finite-Time Blowup for the Inviscid Primitive Equations of Oceanic and Atmospheric Dynamics

  Chongsheng Cao; Slim Ibrahim; Kenji Nakanishi; Edriss S. Titi

  COMMUNICATIONS IN MATHEMATICAL PHYSICS, Jul. 2015, Peer-reviewed

  
• Center-stable manifold of the ground state in the energy space for the critical wave equation

  Joachim Krieger; Kenji Nakanishi; Wilhelm Schlag

  MATHEMATISCHE ANNALEN, Feb. 2015, Peer-reviewed

  
• WELL-POSEDNESS AND SCATTERING FOR THE ZAKHAROV SYSTEM IN FOUR DIMENSIONS

  Ioan Bejenaru; Zihua Guo; Sebastian Herr; Kenji Nakanishi

  ANALYSIS & PDE, 2015

  
• Trudinger-Moser inequality on the whole plane with the exact growth condition

  Slim Ibrahim; Nader Masmoudi; Kenji Nakanishi

  JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, 2015, Peer-reviewed

  Access this paper :

  
• Sharp Global Regularity for the 2+1-Dimensional Equivariant Faddeev Model

  Dan-Andrei Geba; Kenji Nakanishi; Xiang Zhang

  INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2015, Peer-reviewed

  
• Generalized Strichartz Estimates and Scattering for 3D Zakharov System

  Zihua Guo; Sanghyuk Lee; Kenji Nakanishi; Chengbo Wang

  COMMUNICATIONS IN MATHEMATICAL PHYSICS, Oct. 2014, Peer-reviewed

  
• Global Dynamics below the Ground State Energy for the Klein-Gordon-Zakharov System in the 3D Radial Case

  Zihua Guo; Kenji Nakanishi; Shuxia Wang

  COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, Jun. 2014, Peer-reviewed

  
• Threshold Phenomenon for the Quintic Wave Equation in Three Dimensions

  Joachim Krieger; Kenji Nakanishi; Wilhelm Schlag

  COMMUNICATIONS IN MATHEMATICAL PHYSICS, Apr. 2014, Peer-reviewed

  
• Threshold solutions in the case of mass-shift for the critical Klein-Gordon equation

  Slim Ibrahim; Nader Masmoudi; Kenji Nakanishi

  Transactions of the American Mathematical Society, 2014, Peer-reviewed

  
• Small Energy Scattering for the Zakharov System with Radial Symmetry

  Zihua Guo; Kenji Nakanishi

  INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2014, Peer-reviewed

  
• Small energy scattering for the Klein-Gordon-Zakharov system with radial symmetry

  Zihua Guo; Kenji Nakanishi; Shuxia Wang

  MATHEMATICAL RESEARCH LETTERS, 2014, Peer-reviewed

  
• GLOBAL DYNAMICS AWAY FROM THE GROUND STATE FOR THE ENERGY-CRITICAL NONLINEAR WAVE EQUATION

  Joachim Krieger; Kenji Nakanishi; Wilhelm Schlag

  AMERICAN JOURNAL OF MATHEMATICS, Aug. 2013, Peer-reviewed

  
• GLOBAL DYNAMICS OF THE NONRADIAL ENERGY-CRITICAL WAVE EQUATION ABOVE THE GROUND STATE ENERGY

  Joachim Krieger; Kenji Nakanishi; Wilhelm Schlag

  DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, Jun. 2013, Peer-reviewed

  
• Global dynamics below the ground state energy for the Zakharov system in the 3D radial case

  Zihua Guo; Kenji Nakanishi; Shuxia Wang

  ADVANCES IN MATHEMATICS, May 2013, Peer-reviewed

  Access this paper :

  
• Global dynamics above the ground state energy for the one-dimensional NLKG equation

  J. Krieger; K. Nakanishi; W. Schlag

  MATHEMATISCHE ZEITSCHRIFT, Oct. 2012, Peer-reviewed

  
• GLOBAL WELL-POSEDNESS AND SCATTERING FOR SKYRME WAVE MAPS

  Dan-Andrei Geba; Kenji Nakanishi; Sarada G. Rajeev

  COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, Sep. 2012, Peer-reviewed

  
• Small solutions of nonlinear Schrodinger equations near first excited states

  Kenji Nakanishi; Tuoc Van Phan; Tai-Peng Tsai

  JOURNAL OF FUNCTIONAL ANALYSIS, Aug. 2012, Peer-reviewed

  
• Global dynamics above the ground state energy for the cubic NLS equation in 3D

  K. Nakanishi; W. Schlag

  CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, May 2012, Peer-reviewed

  
• INVARIANT MANIFOLDS AROUND SOLITON MANIFOLDS FOR THE NONLINEAR KLEIN-GORDON EQUATION

  K. Nakanishi; W. Schlag

  SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2012, Peer-reviewed

  Access this paper :

  
• Global dynamics above the ground state energy for the focusing nonlinear Klein-Gordon equation

  K. Nakanishi; W. Schlag

  JOURNAL OF DIFFERENTIAL EQUATIONS, Mar. 2011, Peer-reviewed

  Access this paper :

  
• Exponential Energy Decay for Damped Klein-Gordon Equation with Nonlinearities of Arbitrary Growth

  L. Aloui; S. Ibrahim; K. Nakanishi

  COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2011, Peer-reviewed

  
• SCATTERING THRESHOLD FOR THE FOCUSING NONLINEAR KLEIN-GORDON EQUATION

  Slim Ibrahim; Nader Masmoudi; Kenji Nakanishi

  ANALYSIS & PDE, 2011, Peer-reviewed

  
• SCATTERING FOR THE TWO-DIMENSIONAL ENERGY-CRITICAL WAVE EQUATION

  Slim Ibrahim; Mohamed Majdoub; Nader Masmoudi; Kenji Nakanishi

  DUKE MATHEMATICAL JOURNAL, Nov. 2009, Peer-reviewed

  
• Spectra of linearized operators for NLS solitary waves

  Shu-Ming Chang; Stephen Gustafson; Kenji Nakanishi; Tai-Peng Tsai

  SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2007, Peer-reviewed

  
• From the Klein-Gordon-Zakharov system to the nonlinear Schrodinger equation

  N Masmoudi; K Nakanishi

  JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS, Dec. 2005, Peer-reviewed

  
• Asymptotic stability and completeness in the energy space for nonlinear Schrodinger equations with small solitary waves

  S Gustafson; K Nakanishi; TP Tsai

  INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2004, Peer-reviewed

  

Misc.

• Scattering problem for nonlinear Schrodinger and Hartree equations (Tosio Kato's Method and Principle for Evolution Equations in Mathematical Physics)

  Nakanishi Kenji; Ozawa Tohru

  RIMS Kokyuroku, Oct. 2001

  Access this misc :

  

Presentations

• Global dynamics around and away from solitons

  Kenji Nakanishi

  International Congress of Mathematicians 2022, 12 Jul. 2022, Invited

  
• 調和写像のSchrodinger及び熱流における漸近安定性と永久振動集約

  中西賢次

  京大・理, 2006

  

Books and Other Publications

• Invariant Manifolds and Dispersive Hamiltonian Evolution Equations

  Kenji Nakanishi; Wilhelm Schlag

  European Mathematical Society, 2011, Not refereed

  

Awards

• 04 Feb. 2021

  Inoue Foundation for Science, Inoue Prize for Science

External funds: Kakenhi

• Blowup phenomena in chemotaxis system

  Grant-in-Aid for Scientific Research (B)

  Basic Section 12020:Mathematical analysis-related

  Tokyo Gakugei University

  溝口 紀子

  From 01 Apr. 2020, To 31 Mar. 2025, Granted

  爆発;chemotaxis;Hamilton-Jacobi;走化性方程式系;Keller-Segel;爆発現象;Keller-Segel系

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-20H01814/
• Global dynamics of nonlinear wave equations

  Grant-in-Aid for Scientific Research (B)

  Kyoto University;Osaka University

  Kenji Nakanishi

  From 01 Apr. 2017, To 31 Mar. 2022, Project Closed

  非線形波動;散乱理論;ソリトン;爆発解;解の爆発;波動乱流

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-17H02854/
• Transient order weaved by vortex

  Grant-in-Aid for Challenging Exploratory Research

  Osaka University

  Takashi Suzuki

  From 01 Apr. 2015, To 31 Mar. 2017, Project Closed

  点渦;ボルツマン・ポアソン方程式;爆発機構の量子化;循環的階層;非局所項;平均場理論;準平衡;緩和方程式;非線形解析学;非平衡統計力学;量子渦;量子化する爆発機構;モース指数;緩和時間

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-15K13448/
• Global dynamics of nonlinear dispersive equations

  Grant-in-Aid for Scientific Research (C)

  Osaka University;Kyoto University

  Kenji Nakanishi

  From 01 Apr. 2013, To 31 Mar. 2017, Project Closed

  非線形分散型方程式;解の大域挙動;ソリトン;基底状態;励起状態;解の爆発;非線形散乱理論;漸近安定性;散乱理論;中心安定多様体;臨界指数;国際研究者交流：フランス;非線形波動方程式;大域ダイナミクス;爆発解;水面波

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-25400159/
• An investigation of symmetries in the geometric structure and existence of global solutions to nonlinear dispersive wave equations

  Grant-in-Aid for Scientific Research (B)

  Kobe University;Hokkaido University

  Hideo Takaoka

  From 01 Apr. 2013, To 31 Mar. 2018, Project Closed

  分散型方程式;適切性;非線形波動;解析学;非線形分散型方程式;初期値問題;非線形分散型;関数方程式論;適切生

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-25287022/
• 非線形波動・分散型方程式の幾何学的対称性と弱解の構造

  Grant-in-Aid for Scientific Research (A)

  Kyoto University

  堤 誉志雄

  From 01 Apr. 2011, To 31 Mar. 2012, Project Closed

  非線形波動・分散型方程式;Morawetz型の評価式;最小爆発解論法;基底状態;大域的挙動;Lugiato-Lefever方程式;定常解の漸近安定性;Strichartz評価式

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-23244012/
• Concentration Phenomena and Structure of Solution for Nonlinear Evolution Equations

  Grant-in-Aid for Scientific Research (S)

  Kyoto University

  Yoshio Tsutsumi

  From 01 Apr. 2011, To 31 Mar. 2016, Project Closed

  非線形波動・分散型方程式;非圧縮性Navier-Stokes方程式;解の特異性と凝縮現象;Keller-Segel方程式;解の時間大域挙動;Gibbs測度;Stokesドリフト;大域挙動;グローバル・アトラクター;中心多様体;非線形散乱理論;有限時間爆発;非線形発展方程式;Strichartz評価式;計算機支援証明法;精度保証付き数値計算;爆発解;Orlicz-Morrey空間;初期値問題の適切性;解の正則性・特異性;表面量直重力波方程式(米国);等温Falkモデル;Zakharov方程式;Keller-Segel方程式(ドイツ);不変測度;不安定基底状態;解の大域挙動;ストークス・ドリフト;重力-表面張力水面波;Beal-Kato-Majda型爆発判定条件;減衰項付きKlein-Gordon方程式;Morawetz評価式;エネルギー減衰評価式;Lugiato-Lefever方程式;定常解の分岐;指数安定性;一般化された分数べき積分作用素;Morrey空間

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-23224003/
• Global analysis of dispersion and resonance of nonlinear waves

  Grant-in-Aid for Young Scientists (B)

  Kyoto University

  Kenji NAKANISHI

  From 01 Apr. 2009, To 31 Mar. 2013, Project Closed

  関数方程式;関数解析;実解析;非線形波動;波の分散性;非線形共鳴;解の大域挙動;解の爆発;ソリトン;中心安定多様体;分散性;漸近解析;特異摂動;散乱理論;大域動力学;散乱;爆発;基底状態;ワンパス定理;初期値問題の適切性;Trudmger-Moser不等式;エネルギーの日数減衰

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-21740095/
• Relations between properties of solutions and geometric symmetry of solutions for nonlinear wave and dispersive equations

  Grant-in-Aid for Scientific Research (A)

  Kyoto University

  Yoshio TSUTSUMI

  From 01 Apr. 2007, To 31 Mar. 2011, Project Closed

  非線形波動・分散型方程式;初期値問題の適切性・不適切性;無条件一意性;解の漸近挙動;フーリエ制限法;シュレディンガー写像方程式;調和写像の熱流;調和写像の安定性;解の無限振動;Lugiato-Lefever方程式;解の分岐;安定定常解;中心多様体縮約;函数方程式論;函数解析学;実関数論;数理物理学;非線形分散型方程式;初期値問題の適切性;非線形相互作用の構造;定常解の分岐;空洞ソリトン;安定性・不安定性;修正KdV方程式;フーリエ制限ノルム;非線形シュレディンガー方程式;超関数の積の評価式;斉次ベゾフ空間;負の指数のソボレフ空間;スケール不変性

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-19204012/
• Global dispersion of nonlinear waves

  Grant-in-Aid for Young Scientists (B)

  Kyoto University

  Kenji NAKANISHI

  From 01 Apr. 2006, To 31 Mar. 2009, Project Closed

  非線形波動;分散性;漸近解析;散乱理論;解の一意性;漸近安定性;プラズマ;超流動;水面波;時空大域評価;非線形エネルギー;双線形評価;特異極限

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-18740072/
• 非線形波動方程式の対称性と解の大域構造

  Grant-in-Aid for Young Scientists (B)

  Kyoto University;Nagoya University

  中西 賢次

  From 01 Apr. 2003, To 31 Mar. 2006, Project Closed

  非線形波動;非線形分散型方程式;特異極限;散乱理論;非線形エネルギー;双線形評価;非線形Schrodinger方程式;Zakharov方程式;低エネルギー解;孤立波解;漸近安定性;保存則;エネルギー空間;時空評価

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-15740086/
• Structure of Solutions and Geometric Symmetry for Nonlinear Evolution Equations

  Grant-in-Aid for Scientific Research (A)

  Kyoto University;Tohoku University

  Yoshio TSUTSUMI

  From 01 Apr. 2003, To 31 Mar. 2007, Project Closed

  適切性;修正KdV;非線形散乱理論;長距離相互作用;無条件一意性;非線形Schrodinger方程式;Fourier制限ノルム法;Besov空間;解の無条件一意性;変形Benjamin-Ono方程式;初期値問題の適切性;非線形Klein-Gordon方程式;基底定在波解;強い意味での不安定性;解の漸近挙動;漸近自由;定在波解;安定性と不安定性;soliton-defect interaction;修正KdV方程式;エネルギー空間;Benjamin-Bona-Mahony方程式;孤立波解;漸近安定性;非線形シュレディンガー方程式;初期値に関する一様連続依存性;非線形Dirac方程式;非相対論的極限;初期層, Well-posedness;Modified KdV;Nonlinear scattering theory;Long range interaction;Unconditional uniqueness;Nonlinear Schrodinger equations;Fourier restriction norm method;Besov spaces

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-15204008/
• GEOMETRY AND ANALYSIS FOR WAVE FIELDS

  Grant-in-Aid for Scientific Research (A)

  Hokkaido University

  Tohru OZAWA

  From 01 Apr. 2001, To 31 Mar. 2004, Project Closed

  非線型波動方程式;非線型ディラック方程式;非線型クライン・ゴルドン方程式;非線型シュレディンガー方程式;散乱理論;非線型分散型偏微分方程式;非線型双曲型偏微分方程式;非線型散乱理論;非相対論的極限;非線型散乱問題, nonlinear wave equations;nonlinear Dirac equations;nonlinear Klein-Gordon equations;nonlinear Schrodinger equations;scattering theory

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-13304011/
• 非圧縮流体の運動方程式に対する実解析的研究

  Grant-in-Aid for Exploratory Research

  Kobe University

  宮川 鉄朗

  From 01 Apr. 2000, To 31 Mar. 2002, Project Closed

  非圧縮流体の運動方程式;初期値境界値問題;安定性;漸近挙動;Besov空間;時空ノルム評価;特異極限;初期値問題;特異点;渦運動;平均曲率;指数

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-12874027/
• 非線形波動方程式のエネルギー集約評価と時空大域的解析

  Grant-in-Aid for Encouragement of Young Scientists (A)

  Kobe University

  中西 賢次

  From 01 Apr. 2000, To 31 Mar. 2002, Project Closed

  非線形Klein-Gordon方程式;非線形Schrodinger方程式;非相対論極限;一様大域評価;散乱理論;Strichartz評価;Lorentz空間

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-12740091/
• Geometric invariant, propagation of singularity and asymptotic behavior for nonlinear wave equations

  Grant-in-Aid for Scientific Research (B)

  Tohoku University

  Yoshio TSUTSUMI

  From 01 Apr. 2000, To 31 Mar. 2003, Project Closed

  null condition;Dirac-Proca方程式;Maxwell-Higgs方程式;時間大域存在;適切性;修正kdV方程式;初期値問題;弱解;修正KdV方程式;初期値問題の適切性;周期境界条件;解の連続依存性;フーリエ制限空間;振動積分;特異摂動;零条件(null condition);時間大域解;解の漸近挙動;非線形波動方程式;解の正則性, null condition;Dirac-Proca equations;Maxwell-Higgs equations;global existence in time;well-posedness;modified KdV equation;initial value problem;weak solution

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-12440033/
• Global analysis for nonlinear dispersive equations

  Grant-in-Aid for Scientific Research (B)

  Basic Section 12020:Mathematical analysis-related

  Kyoto University

  中西 賢次

  From 01 Apr. 2022, To 31 Mar. 2027, Granted

  非線形分散型方程式;ソリトン;解の爆発;散乱理論;非線形共鳴

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-22H01132/
• Global analysis for nonlinear dispersive equations

  Grant-in-Aid for Scientific Research (B)

  Basic Section 12020:Mathematical analysis-related

  Kyoto University

  中西 賢次

  From 01 Apr. 2022, To 31 Mar. 2027, Granted

  非線形分散型方程式;ソリトン;解の爆発;散乱理論;非線形共鳴

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-23K22403/
• Blowup phenomena in chemotaxis system

  Grant-in-Aid for Scientific Research (B)

  Basic Section 12020:Mathematical analysis-related

  Tokyo Gakugei University

  溝口 紀子

  From 01 Apr. 2020, To 31 Mar. 2025, Granted

  blowup;chemotaxis;爆発;Hamilton-Jacobi;走化性方程式系;Keller-Segel;爆発現象;Keller-Segel系

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-23K20222/

Education

Teaching subject(s)

• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Partial Differential Equations b

  1254, Fall, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Partial Differential Equations a

  1253, Spring, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Partial Differential Equations d

  1256, Fall, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Partial Differential Equations c

  1255, Spring, Graduate School of Science, 3
• From 01 Apr. 2023, To 31 Mar. 2024

  Seminar on Partial Differential Equations d

  1256, Fall, Graduate School of Science, 3
• From 01 Apr. 2023, To 31 Mar. 2024

  Seminar on Partial Differential Equations c

  1255, Spring, Graduate School of Science, 3
• From 01 Apr. 2023, To 31 Mar. 2024

  Seminar on Partial Differential Equations b

  1254, Fall, Graduate School of Science, 3
• From 01 Apr. 2023, To 31 Mar. 2024

  Seminar on Partial Differential Equations a

  1253, Spring, Graduate School of Science, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Graduate Lecture in Partial Differential Equations

  0406, Spring, Graduate School of Science, 2
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Partial Differential Equations b

  1254, Fall, Graduate School of Science, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Partial Differential Equations d

  1256, Fall, Graduate School of Science, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Partial Differential Equations c

  1255, Spring, Graduate School of Science, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Partial Differential Equations a

  1253, Spring, Graduate School of Science, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Partial Differential Equations

  8118, Spring, Faculty of Science, 2
• From Apr. 2011, To Mar. 2012

  Calculus A

  Spring, 全学共通科目
• From Apr. 2011, To Mar. 2012

  Calculus B

  Fall, 全学共通科目
• From Apr. 2011, To Mar. 2012

  数学講究

  Year-long, 理学部
• From Apr. 2011, To Mar. 2012

  解析学演義Ｉ

  Spring, 理学部
• From Apr. 2012, To Mar. 2013

  Calculus A

  Spring, 全学共通科目
• From Apr. 2012, To Mar. 2013

  Linear Algebra A

  Spring, 全学共通科目
• From Apr. 2012, To Mar. 2013

  Linear Algebra B

  Fall, 全学共通科目
• From Apr. 2012, To Mar. 2013

  Advanced Analysis III

  Fall, 理学部
• From Apr. 2013, To Mar. 2014

  Analysis I

  Spring, 理学部
• From Apr. 2013, To Mar. 2014

  Calculus A

  Spring, 全学共通科目
• From Apr. 2013, To Mar. 2014

  Calculus B

  Fall, 全学共通科目
• From Apr. 2014, To Mar. 2015

  Exercises in Analysis II

  Fall, 理学部
• From Apr. 2014, To Mar. 2015

  Mathematics seminary

  Year-long, 理学部
• From Apr. 2014, To Mar. 2015

  Seminar on Differential Equations A

  Spring, 理学研究科
• From Apr. 2014, To Mar. 2015

  Seminar on Differential Equations B

  Fall, 理学研究科
• From Apr. 2014, To Mar. 2015

  Seminar on Differential Equations C

  Spring, 理学研究科
• From Apr. 2014, To Mar. 2015

  Seminar on Differential Equations D

  Fall, 理学研究科
• From Apr. 2014, To Mar. 2015

  Calculus A

  Spring, 全学共通科目
• From Apr. 2014, To Mar. 2015

  Calculus B

  Fall, 全学共通科目
• From Apr. 2018, To Mar. 2019

  Seminar on Partial Differential Equations a

  Spring, 理学研究科
• From Apr. 2018, To Mar. 2019

  Seminar on Partial Differential Equations b

  Fall, 理学研究科
• From Apr. 2018, To Mar. 2019

  Seminar on Partial Differential Equations c

  Spring, 理学研究科
• From Apr. 2018, To Mar. 2019

  Seminar on Partial Differential Equations d

  Fall, 理学研究科
• From Apr. 2018, To Mar. 2019

  Mathematics seminary

  Year-long, 理学部
• From Apr. 2019, To Mar. 2020

  Seminar on Partial Differential Equations a

  Spring, 理学研究科
• From Apr. 2019, To Mar. 2020

  Seminar on Partial Differential Equations b

  Fall, 理学研究科
• From Apr. 2019, To Mar. 2020

  Seminar on Partial Differential Equations c

  Spring, 理学研究科
• From Apr. 2019, To Mar. 2020

  Seminar on Partial Differential Equations d

  Fall, 理学研究科
• From Apr. 2020, To Mar. 2021

  Seminar on Partial Differential Equations a

  Spring, 理学研究科
• From Apr. 2020, To Mar. 2021

  Seminar on Partial Differential Equations b

  Fall, 理学研究科
• From Apr. 2020, To Mar. 2021

  Seminar on Partial Differential Equations c

  Spring, 理学研究科
• From Apr. 2020, To Mar. 2021

  Seminar on Partial Differential Equations d

  Fall, 理学研究科
• From Apr. 2021, To Mar. 2022

  Seminar on Partial Differential Equations a

  Spring, 理学研究科
• From Apr. 2021, To Mar. 2022

  Seminar on Partial Differential Equations b

  Fall, 理学研究科
• From Apr. 2021, To Mar. 2022

  Seminar on Partial Differential Equations c

  Spring, 理学研究科
• From Apr. 2021, To Mar. 2022

  Seminar on Partial Differential Equations d

  Fall, 理学研究科

Administration

School management (title, position)

• 京都大学留学支援ネットワークメンバー
• From 01 Apr. 2020

  京都大学国際戦略本部国際化推進懇談会 構成員

Faculty management (title, position)

• From 01 Apr. 2024, To 31 Mar. 2025

  数理解析研究所副所長
• From 01 Apr. 2024, To 31 Mar. 2025

  予算委員会　委員長
• From 01 Apr. 2024, To 31 Mar. 2025

  建物・施設整備委員会　委員長
• From 01 Apr. 2023, To 31 Mar. 2024

  理学研究科会議構成員
• From 01 Apr. 2023, To 31 Mar. 2024

  理学研究科数学・数理解析専攻数理解析系主任（第一代理）