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Doctor of Science (Tokyo University of Science)
Details of the Researcher
Research History 6
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2022/04 - PresentMathematical Institute, Tohoku University Associate Professor
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2019/04 - 2022/03Tohoku University Research Alliance Center for Mathematical Sciences Associate Professor
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2017/04 - 2019/03Tokyo University of Science Faculty of Science, Division 1 Assistant Professor
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2016/09 - 2017/03Institute of Mathematics of the Polish Academy of Sciences Assistant Professor
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2016/04 - 2016/08JSPS Research Fellowship for Young Scientists (PD)
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2015/04 - 2016/03JSPS Research Fellowship for Young Scientists (DC2)
Education 1
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Tokyo University of Science
2014/04 - 2016/03
Committee Memberships 3
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Editor
2025/07 - Present
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文部科学省 科学技術・学術政策研究所 科学技術予測・政策基盤調査研究センター 専門調査員
2023/05 - 2025/03
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函数方程式論分科会 情報委員会 運営委員
2020/04 - 2024/03
Professional Memberships 1
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THE MATHEMATICAL SOCIETY OF JAPAN
Research Interests 7
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移流拡散方程式
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反応拡散方程式
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非線形偏微分方程式
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Keller-Segel system
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chemotaxis system
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parabolic equation
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functional equation
Research Areas 1
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Natural sciences / Mathematical analysis /
Awards 3
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第5回ジャパンリサーチフロントアワード
2024/05 クラリベイト・アナリティクス・ジャパン株式会社 シグナル依存運動の走化性方程式の数学解析
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IOP Trusted Reviewer status
2023 IOP Publishing
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Best Poster Award
2015/10 ICMMA 2015 Self-Organization Modeling and Analysis
Papers 25
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Nonlinear Fisher information, corresponding functional inequalities and applications
Tomasz Cieślak, Kentaro Fujie, Tatsuya Hosono
Journal of Differential Equations 2026/07
DOI: 10.1016/j.jde.2026.114350
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A Short Note on Concentration Phenomena for Chemotaxis Systems with Local Sensing
Kentaro Fujie
2026
DOI: 10.1007/978-3-032-14789-9_3
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A short remark on comparison estimates in a chemotaxis system with local sensing Peer-reviewed
Kentaro Fujie
Discrete and Continuous Dynamical Systems - B 28 (10) 5355-5360 2023
Publisher: American Institute of Mathematical Sciences (AIMS)ISSN: 1531-3492
eISSN: 1553-524X
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Global existence and infinite time blow-up of classical solutions to chemotaxis systems of local sensing in higher dimensions Peer-reviewed
Kentaro Fujie, Takasi Senba
Nonlinear Analysis 222 112987-112987 2022/09
Publisher: Elsevier {BV}ISSN: 0362-546X
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Global boundedness of solutions to a parabolic–parabolic chemotaxis system with local sensing in higher dimensions Peer-reviewed
Kentaro Fujie, Takasi Senba
Nonlinearity 35 (7) 3777-3811 2022/07/07
Publisher: IOP PublishingISSN: 0951-7715
eISSN: 1361-6544
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A note on construction of nonnegative initial data inducing unbounded solutions to some two-dimensional Keller–Segel systems Peer-reviewed
Kentaro Fujie, Jie Jiang
Mathematics in Engineering 4 (6) 1-12 2022
Publisher: American Institute of Mathematical Sciences (AIMS)DOI: 10.3934/mine.2022045
ISSN: 2640-3501
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Boundedness of Classical Solutions to a Degenerate Keller–Segel Type Model with Signal-Dependent Motilities Peer-reviewed
Kentaro Fujie, Jie Jiang
Acta Applicandae Mathematicae 176 (1) 2021/10
Publisher: Springer Science and Business Media LLCDOI: 10.1007/s10440-021-00450-1
ISSN: 0167-8019
eISSN: 1572-9036
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Comparison methods for a Keller–Segel-type model of pattern formations with density-suppressed motilities International-coauthorship Peer-reviewed
Kentarou Fujie, Jie Jiang
Calculus of Variations and Partial Differential Equations 60 (3) 2021/06
Publisher: Springer Science and Business Media {LLC}DOI: 10.1007/s00526-021-01943-5
ISSN: 0944-2669 1432-0835
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GLOBAL EXISTENCE IN THE 1D QUASILINEAR PARABOLIC-ELLIPTIC CHEMOTAXIS SYSTEM WITH CRITICAL NONLINEARITY Peer-reviewed
Cieslak Tomasz, Fujie Kentarou
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S 13 (2) 165-176 2020/02
ISSN: 1937-1632
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GLOBAL ASYMPTOTIC STABILITY IN A CHEMOTAXIS-GROWTH MODEL FOR TUMOR INVASION Peer-reviewed
Fujie Kentarou
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S 13 (2) 203-209 2020/02
ISSN: 1937-1632
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Global existence for a kinetic model of pattern formation with density-suppressed motilities Peer-reviewed
Fujie, K., Jiang, J.
Journal of Differential Equations 269 (6) 5338-5378 2020
DOI: 10.1016/j.jde.2020.04.001
ISSN: 0022-0396
eISSN: 1090-2732
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Boundedness of solutions to the critical fully parabolic quasilinear one-dimensional Keller–Segel system Peer-reviewed
Bieganowski, B., Cie?lak, T., Fujie, K., Senba, T.
Mathematische Nachrichten 292 (4) 724-732 2019/04
ISSN: 0025-584X
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Blowup of solutions to a two-chemical substances chemotaxis system in the critical dimension Peer-reviewed
Fujie, K., Senba, T.
Journal of Differential Equations 266 (2-3) 2019/01
DOI: 10.1016/j.jde.2018.07.068
ISSN: 0022-0396
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A sufficient condition of sensitivity functions for boundedness of solutions to a parabolic-parabolic chemotaxis system Peer-reviewed
Kentarou Fujie, Takasi Senba
Nonlinearity 31 (4) 1639-1672 2018/03/12
Publisher: Institute of Physics PublishingISSN: 1361-6544 0951-7715
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No critical nonlinear diffusion in 1d quasilinear fully parabolic chemotaxis system Peer-reviewed
Tomasz Cieślak, Kentarou Fujie
Proceedings of the American Mathematical Society 146 (6) 2529-2540 2018
Publisher: American Mathematical SocietyDOI: 10.1090/proc/13939
ISSN: 1088-6826 0002-9939
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Large time behavior in a chemotaxis model with nonlinear general diffusion for tumor invasion Peer-reviewed
Kentarou Fujie, Sachiko Ishida, Akio Ito, Tomomi Yokota
Funkcialaj Ekvacioj 61 (1) 37-80 2018
Publisher: KOBE UNIVDOI: 10.1619/fesi.61.37
ISSN: 0532-8721
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Application of an Adams type inequality to a two-chemical substances chemotaxis system Peer-reviewed
Kentarou Fujie, Takasi Senba
JOURNAL OF DIFFERENTIAL EQUATIONS 263 (1) 88-148 2017/07
DOI: 10.1016/j.jde.2017.02.031
ISSN: 0022-0396
eISSN: 1090-2732
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Global existence and boundedness of radial solutions to a two dimensional fully parabolic chemotaxis system with general sensitivity Peer-reviewed
Kentarou Fujie, Takasi Senba
NONLINEARITY 29 (8) 2417-2450 2016/08
DOI: 10.1088/0951-7715/29/8/2417
ISSN: 0951-7715
eISSN: 1361-6544
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STABILIZATION IN A CHEMOTAXIS MODEL FOR TUMOR INVASION Peer-reviewed
Kentarou Fujie, Akio Ito, Michael Winkler, Tomomi Yokota
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 36 (1) 151-169 2016/01
ISSN: 1078-0947
eISSN: 1553-5231
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GLOBAL EXISTENCE AND BOUNDEDNESS IN A PARABOLIC-ELLIPTIC KELLER-SEGEL SYSTEM WITH GENERAL SENSITIVITY Peer-reviewed
Kentarou Fujie, Takasi Senba
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B 21 (1) 81-102 2016/01
ISSN: 1531-3492
eISSN: 1553-524X
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Boundedness of solutions to parabolic-elliptic Keller-Segel systems with signal-dependent sensitivity Peer-reviewed
Kentarou Fujie, Michael Winkler, Tomomi Yokota
MATHEMATICAL METHODS IN THE APPLIED SCIENCES 38 (6) 1212-1224 2015/04
DOI: 10.1002/mma.3149
ISSN: 0170-4214
eISSN: 1099-1476
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Boundedness in a fully parabolic chemotaxis system with singular sensitivity Peer-reviewed
Kentarou Fujie
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 424 (1) 675-684 2015/04
DOI: 10.1016/j.jmaa.2014.11.045
ISSN: 0022-247X
eISSN: 1096-0813
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Existence and uniqueness of local classical solutions to modified tumor invasion models of Chaplain-Anderson type Peer-reviewed
Kentarou Fujie, Akio Ito, Tomomi Yokota
Advances in Mathematical Sciences and Applications 24 67-84 2014/12
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Boundedness in a fully parabolic chemotaxis system with strongly singular sensitivity Peer-reviewed
Kentarou Fujie, Tomomi Yokota
APPLIED MATHEMATICS LETTERS 38 140-143 2014/12
DOI: 10.1016/j.aml.2014.07.021
ISSN: 0893-9659
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Blow-up prevention by logistic sources in a parabolic-elliptic Keller-Segel system with singular sensitivity Peer-reviewed
Kentarou Fujie, Michael Winkler, Tomomi Yokota
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 109 56-71 2014/11
ISSN: 0362-546X
eISSN: 1873-5215
Misc. 7
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Energy-Like Functional in a Quasilinear Parabolic Chemotaxis System Peer-reviewed
Kentaro Fujie
Springer INdAM Series 47 67-77 2021
DOI: 10.1007/978-3-030-73363-6_4
ISSN: 2281-518X
eISSN: 2281-5198
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Global asymptotic stability in a chemotaxis-growth model for tumor invasion (Theory of Biomathematics and Its Applications XII : Mathematical and experimental approach to clarify patterns in a transition process)
Fujie Kentarou
RIMS Kokyuroku 1994 121-127 2016/04
Publisher: 京都大学ISSN: 1880-2818
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Signal-dependent sensitivity preventing blow-up in a fully parabolic chemotaxis system (Reconsideration of the method of estimates on partial differential equations from a point of view of the theory on abstract evolution equations)
Fujie Kentarou
RIMS Kokyuroku 1984 52-63 2016/02
Publisher: 京都大学ISSN: 1880-2818
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Boundedness of solutions to parabolic-elliptic chemotaxis-growth systems with signal-dependent sensitivity Invited Peer-reviewed
Fujie, K., Yokota, T.
Mathematica Bohemica 139 (4) 639-647 2014/01
ISSN: 0862-7959
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Boundedness in a quasilinear parabolic-parabolic Keller-Segel system with the sensitivity $v^{-1}S(u)$ Peer-reviewed
Kentarou Fujie, Chihiro Nishiyama, Tomomi Yokota
AIMS Proceedings, 2015 464-472
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On behavior of solutions to a chemotaxis system with a nonlinear sensitivity function Invited Peer-reviewed
Kentarou Fujie, Takasi Senba
Proceedings of Equadiff 2017 Conference 42-52
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A generalization of the Keller-Segel system to higher dimensions from a structural viewpoint Invited Peer-reviewed
Kentarou Fujie, Takasi Senba
Proceedings of Equadiff 2017 Conference 275-282
Presentations 46
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Entropy production structure of Keller–Segel systems International-presentation Invited
Kentaro Fujie
Dynamical Aspects of Pattern Formation 2026/05/18
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One-dimensional quasilinear Keller–Segel system with critical nonlinearity International-presentation Invited
Kentaro Fujie
The 9th International Workshop on Mathematical Analysis of Chemotaxis 2026/03/18
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Global existence of some one-dimensional quasilinear Keller--Segel system with critical nonlinearity International-presentation Invited
Kentaro Fujie
Joint Workshop for Analysis of Chemotaxis Models 2026/03/06
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1次元準線型走化性方程式のエントロピー生成の評価とその応用
藤江健太郎, Tomasz Cieslak, 細野竜也
第51回 発展方程式研究会 2025/12/26
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Entropy production estimates in 1D quasilinear Keller--Segel system Invited
Kentaro Fujie
New Trends in Elliptic and Parabolic Equations 2025/11/17
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Entropy production estimates in chemotaxis systems and its application International-presentation Invited
Kentaro Fujie
International Conference on Mathematical Modeling in Biology: From Chemotaxis to Complex Systems 2025/09/26
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Keller--Segel方程式におけるエントロピー生成の評価 Invited
藤江 健太郎
第50回非線形発展方程式セミナー 2025/07/18
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Self-similar solutions to some chemotaxis system with local sensing Invited
Kentaro Fujie
2024/12/12
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Self-similar solutions to some chemotaxis system with local sensing Invited
Kentaro Fujie
International Meetings on Differential Equations and Their Applications 2024/11/06
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Self-similar solutions to some chemotaxis system with local sensing Invited
Kentaro FUJIE
Italian-Japanese Workshop on Variational Perspectives for PDEs 2024/09
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Concentration phenomena in some chemotaxis system with local sensing Invited
Kentaro FUJIE
9th European Congress of Mathematics (Mini-Symposia) 2024/07
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Concentration phenomena in some chemotaxis system with local sensing Invited
Kentaro FUJIE
VIII Symposium on Nonlinear Analysis 2024/06
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Self-similar solutions to a chemotaxis system with local sensing Invited
Kentaro Fujie
Critical Phenomena in Nonlinear Partial Differential Equations, Harmonic Analysis, and Functional Inequalities 2023/11/07
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ある走化性方程式の少し重たい非有界な解について Invited
藤江健太郎
東北大学大学院理学研究科数学専攻 談話会 2022/11/07
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ある走化性方程式の少し重たい爆発解について Invited
藤江健太郎
室蘭工大PDE 研究会 2022/09/19
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Local sensingの走化性方程式の非有界な解について Invited
藤江 健太郎
発展方程式における形状解析と漸近解析 2022/08/02
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Boundedness of solutions to a fully parabolic chemotaxis system with local sensing in higher dimensions Invited
Kentaro FUJIE
The 23rd Northeastern Symposium on Mathematical Analysis 2022/02/21
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Global boundedness in a fully parabolic chemotaxis system with local sensing in higher dimensions Invited
2022/01/18
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2次元走化性方程式の非有界非球対称非負解の構成に関する注意
藤江健太郎, Jie Jiang
第47回 発展方程式研究会 2021/12/25
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Behavior of solutions to a chemotaxis system with signal-dependent motilities Invited
藤江 健太郎
研究集会「微分方程式の総合的研究」 2021/12/18
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Local sensingの走化性方程式の時間大域解について Invited
藤江健太郎
第 755 回 応用解析研究会 2021/11/27
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ある準線型走化性方程式の大域的可解性について Invited
藤江 健太郎
日本数学会 2021年度年会 実函数論分科会 特別講演 2021/03/18
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Local sensingの走化性方程式の解挙動について Invited
藤江健太郎
Critical Exponent and Nonlinear Partial Differential Equations 2021 2021/02/22
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Local Sensingの走化性方程式の高次元における大域的可解性について
藤江健太郎, Jie Jiang
第46回 発展方程式研究会 2020/12/26
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On a Chemotaxis Model with Local Sensing Invited
2020/09/28
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Comparison methods for a kinetic model of pattern formation with density-suppressed motilities Invited
2020/02/21
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Comparison methods for a Keller-Segel-type reaction-diffusion system Invited
2020/01/25
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On a kinetic model with density-suppressed motility for pattern formations Invited
藤江 健太郎
九州工業大学・数理セミナー 2019/12/14
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On a chemotaxis system with sensitivity functions International-presentation Invited
Kentarou Fujie
2019/10/11
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Mathematical Analysis of a Kinetic Model of Pattern Formation with Density-suppressed Motilities International-presentation Invited
Kentarou Fujie
RIMS Workshop: ”Pattern formation and defects in biology and materials science” 2019/10/08
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感応性関数をもつ Keller-Segel 系の臨界条件について Invited
藤江 健太郎
第50回南大阪応用数学セミナー 2019/06/08
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New energy-like functional in fully parabolic systems of chemotaxis International-presentation Invited
Kentaro Fujie
VI° Italian-Japanese Workshop GEOMETRIC PROPERTIES FOR PARABOLIC AND ELLIPTIC PDE's 2019/05/20
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感応性関数をもつ走化性方程式について Invited
藤江 健太郎
第13回室蘭工業大学応用解析セミナー 2019/03/08
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No critical nonlinear diffusion in 1D quasilinear fully parabolic chemotaxis system International-presentation Invited
藤江 健太郎
Seminarium Zakładu Równań Fizyki Matematycznej 2018/11/08
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1次元準線形Keller-Segel系の臨界現象の非存在性 Invited
藤江 健太郎
応用数学セミナー (東北大学) 2018/07
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Global existence and boundedness in a fully parabolic two-chemical substances chemotaxis system International-presentation Invited
藤江 健太郎
8th Euro-Japanese Workshop on Blow-up 2018/07
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New Lyapunov-like functional of 1D quasilinear Keller-Segel system and its application International-presentation Invited
藤江 健太郎
The 12th AIMS Conference on Dynamical Systems, Differential Equations and Applications 2018/07
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A higher dimensional generalization of the Keller-Segel system International-presentation Invited
藤江 健太郎
Banach center ''Mathematical aspects of chemotaxis, cross-diffusion effects and concentration phenomena'' 2018/02
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On an attraction-repulsion chemotaxis system International-presentation Invited
藤江 健太郎
The 3rd International Workshop on Mathematical Analysis of Chemotaxis 2018/02
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No critical nonlinear diffusion in 1D quasilinear fully parabolic Keller--Segel system
藤江 健太郎
第35回 九州における偏微分方程式研究集会 2018/01
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No critical nonlinear diffusion in 1D quasilinear fully parabolic Keller--Segel system
藤江 健太郎
第7回室蘭非線形解析研究会 2017/12
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Global existence in a fully parabolic chemotaxis system with general sensitivity International-presentation
藤江 健太郎
IMPAN PDE seminar 2017/11
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A generalization of the Keller--Segel system to higher dimensions from a structural viewpoint International-presentation
藤江 健太郎
Equadiff 2017 (Invited minisymposia) 2017/07
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Sufficient condition on sensitivity functions for global existence in a fully parabolic Keller--Segel system International-presentation
藤江 健太郎
The 2nd International Workshop on Mathematical Analysis of Chemotaxis 2017/02
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A generalization of the Keller--Segel system to higher dimensions International-presentation
藤江 健太郎
Nonlinear Mathematical Analysis with Applications 2016/12
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Global existence and boundedness in a fully parabolic two-chemical substances chemotaxis system International-presentation
藤江 健太郎
7th Euro-Japanese Workshop on Blow-up 2016/09
Research Projects 8
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Evolution equations describing singularities of non-equilibrium systems beyond the linear-response regime and development of nonlocal-nonlinear analysis
Offer Organization: Japan Society for the Promotion of Science
System: Grants-in-Aid for Scientific Research
Category: Grant-in-Aid for Scientific Research (A)
Institution: Tohoku University
2024/04/01 - 2029/03/31
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走化性方程式における非平衡ダイナミクスの解明
藤江 健太郎
Offer Organization: 日本学術振興会
System: 科学研究費助成事業
Category: 挑戦的研究(萌芽)
Institution: 東北大学
2025/06/27 - 2028/03/31
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Evolution equations describing non-standard irreversible processes --Analysis on singularities emerging in the dynamics of solutions--
Offer Organization: Japan Society for the Promotion of Science
System: Grants-in-Aid for Scientific Research
Category: Grant-in-Aid for Scientific Research (B)
Institution: Tohoku University
2020/04/01 - 2024/03/31
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Before, during and after the blow-up in the analysis of chemotaxis models: Macroscopic and microscopic viewpoints Competitive
2021/04 - 2023/03
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走化性方程式系の解構造に関する新展開 Competitive
藤江 健太郎
Offer Organization: 科学研究費補助金
System: 若手研究
2019/04 - 2023/03
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抗菌薬投与による腸内細菌叢変容の数理モデルの開発とその応用
東北大学側代表者 藤江健太郎
System: 理研-東北大学 科学技術ハブ共同研究プログラム
2021/04 - 2022/03
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一般化された走化性方程式系の解構造の解明 Competitive
藤江 健太郎
Offer Organization: 科学研究費補助金
System: 研究活動スタート支援
2017/04 - 2019/03
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Keller-Segel系及びその周辺の数学解析 Competitive
藤江 健太郎
Offer Organization: 科学研究費補助金
System: 特別研究員奨励費
2015/04 - 2016/08
Teaching Experience 16
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Introduction to Mathematics B Tohoku University
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Introduction to Mathematics A Tohoku University
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Analysis Tutorial B1 Tohoku University
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解析学C Tohoku University
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解析学概論D演習 東北大学
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解析学序論B 東北大学
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解析学B 東北大学
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線形代数学B 東北大学
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論理と集合 (演習) 東京理科大学
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解析学の基礎 (演習) 東京理科大学
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幾何学基礎 (演習) 東京理科大学
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微分方程式論 (演習) 東京理科大学
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多変数の微分積分学 (演習) 東京理科大学
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Mathematical Analysis 2 (Class) Warsaw University
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Mathematical Analysis 1 (Class) Warsaw University
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コンピュータ概論 東京理科大学
Social Activities 2
Academic Activities 7
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The 27th Northeastern Symposium on Mathematical Analysis
Hokkaido University
2026/02/16 - 2026/02/17
Activity type: Academic society, research group, etc.
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First Franco-Japanese Workshop on Chemotaxis Models – Macroscopic and Microscopic Viewpoints –
Tohoku University
2022/10/22 - 2022/10/22
Activity type: Academic society, research group, etc.
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The 22nd Northeastern Symposium on Mathematical Analysis
Tohoku University / zoom
2021/02/15 - 2021/02/16
Activity type: Academic society, research group, etc.
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International Conference "Chemotaxis and Nonlinear Parabolic Equations" -In honor of Professor Takasi Senba on his 60th birthday-
Kitakyushu International Conference Center
2019/11/06 - 2019/11/08
Activity type: Academic society, research group, etc.
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Polish--Japanese Workshop on Chemotaxis
Institute of Mathematics of the Polish Academy of Sciences
2018/12/07 - 2018/12/08
Activity type: Academic society, research group, etc.
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Warsaw Chemotaxis Days
Institute of Mathematics of the Polish Academy of Sciences
2018/10/15 - 2018/10/19
Activity type: Academic society, research group, etc.
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One-day Online Workshop on Chemotaxis
Zoom
2021/07/31 -
Activity type: Academic society, research group, etc.
https://orcid.org/0000-0002-5341-7198