Kentaro Fujie

Profile Information

Affiliation: Associate Professor, Mathematical Institute, Tohoku University

Degree: Doctor of Science(Mar, 2016, Tokyo University of Science)

Researcher number: 50805398
ORCID ID: https://orcid.org/0000-0002-5341-7198
J-GLOBAL ID: 201801012035434280
researchmap Member ID: B000339895

External link: http://www.math.tohoku.ac.jp/~fujie/main_eng.html

Research Interests

Research Areas

Natural sciences / Mathematical analysis /

Research History

Apr, 2022 - Present

Associate Professor, Mathematical Institute, Tohoku University
Apr, 2019 - Mar, 2022

Associate Professor, Research Alliance Center for Mathematical Sciences, Tohoku University
Apr, 2017 - Mar, 2019

Assistant Professor, Faculty of Science, Division 1, Tokyo University of Science
Sep, 2016 - Mar, 2017

Assistant Professor, Institute of Mathematics of the Polish Academy of Sciences
Apr, 2016 - Aug, 2016

JSPS Research Fellowship for Young Scientists (PD)
Apr, 2015 - Mar, 2016

JSPS Research Fellowship for Young Scientists (DC2)

Education

Apr, 2014 - Mar, 2016

Tokyo University of Science

Committee Memberships

May, 2023 - Present

専門調査員, 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
Apr, 2020 - Mar, 2024

運営委員, 函数方程式論分科会情報委員会

Awards

2023

IOP Trusted Reviewer status, IOP Publishing
Oct, 2015

Best Poster Award, ICMMA 2015 Self-Organization Modeling and Analysis

藤江健太郎

Papers

Global existence and infinite time blow-up of classical solutions to chemotaxis systems of local sensing in higher dimensions

Kentaro Fujie, Takasi Senba

Nonlinear Analysis, 222 112987-112987, Sep, 2022 Peer-reviewed
Global boundedness of solutions to a parabolic–parabolic chemotaxis system with local sensing in higher dimensions

Kentaro Fujie, Takasi Senba

Nonlinearity, 35(7) 3777-3811, Jul 7, 2022 Peer-reviewed
A note on construction of nonnegative initial data inducing unbounded solutions to some two-dimensional Keller–Segel systems

Kentaro Fujie, Jie Jiang

Mathematics in Engineering, 4(6) 1-12, 2022 Peer-reviewed
Boundedness of Classical Solutions to a Degenerate Keller–Segel Type Model with Signal-Dependent Motilities

Kentaro Fujie, Jie Jiang

Acta Applicandae Mathematicae, 176(1), Oct, 2021 Peer-reviewed
Comparison methods for a Keller–Segel-type model of pattern formations with density-suppressed motilities

Kentarou Fujie, Jie Jiang

Calculus of Variations and Partial Differential Equations, 60(3), Jun, 2021 Peer-reviewed
GLOBAL EXISTENCE IN THE 1D QUASILINEAR PARABOLIC-ELLIPTIC CHEMOTAXIS SYSTEM WITH CRITICAL NONLINEARITY

Cieslak Tomasz, Fujie Kentarou

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 13(2) 165-176, Feb, 2020 Peer-reviewed
GLOBAL ASYMPTOTIC STABILITY IN A CHEMOTAXIS-GROWTH MODEL FOR TUMOR INVASION

Fujie Kentarou

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 13(2) 203-209, Feb, 2020 Peer-reviewed
Global existence for a kinetic model of pattern formation with density-suppressed motilities

Fujie, K., Jiang, J.

Journal of Differential Equations, 269(6) 5338-5378, 2020 Peer-reviewed
Boundedness of solutions to the critical fully parabolic quasilinear one-dimensional Keller–Segel system

Bieganowski, B., Cie?lak, T., Fujie, K., Senba, T.

Mathematische Nachrichten, 292(4) 724-732, Apr, 2019 Peer-reviewed
Blowup of solutions to a two-chemical substances chemotaxis system in the critical dimension

Fujie, K., Senba, T.

Journal of Differential Equations, 266(2-3), Jan, 2019 Peer-reviewed
A sufficient condition of sensitivity functions for boundedness of solutions to a parabolic-parabolic chemotaxis system

Kentarou Fujie, Takasi Senba

Nonlinearity, 31(4) 1639-1672, Mar 12, 2018 Peer-reviewed
No critical nonlinear diffusion in 1d quasilinear fully parabolic chemotaxis system

Tomasz Cieślak, Kentarou Fujie

Proceedings of the American Mathematical Society, 146(6) 2529-2540, 2018 Peer-reviewed
Large time behavior in a chemotaxis model with nonlinear general diffusion for tumor invasion

Kentarou Fujie, Sachiko Ishida, Akio Ito, Tomomi Yokota

Funkcialaj Ekvacioj, 61(1) 37-80, 2018 Peer-reviewed
Application of an Adams type inequality to a two-chemical substances chemotaxis system

Kentarou Fujie, Takasi Senba

JOURNAL OF DIFFERENTIAL EQUATIONS, 263(1) 88-148, Jul, 2017 Peer-reviewed
Global existence and boundedness of radial solutions to a two dimensional fully parabolic chemotaxis system with general sensitivity

Kentarou Fujie, Takasi Senba

NONLINEARITY, 29(8) 2417-2450, Aug, 2016 Peer-reviewed
STABILIZATION IN A CHEMOTAXIS MODEL FOR TUMOR INVASION

Kentarou Fujie, Akio Ito, Michael Winkler, Tomomi Yokota

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 36(1) 151-169, Jan, 2016 Peer-reviewed
GLOBAL EXISTENCE AND BOUNDEDNESS IN A PARABOLIC-ELLIPTIC KELLER-SEGEL SYSTEM WITH GENERAL SENSITIVITY

Kentarou Fujie, Takasi Senba

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 21(1) 81-102, Jan, 2016 Peer-reviewed
Boundedness of solutions to parabolic-elliptic Keller-Segel systems with signal-dependent sensitivity

Kentarou Fujie, Michael Winkler, Tomomi Yokota

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 38(6) 1212-1224, Apr, 2015 Peer-reviewed
Boundedness in a fully parabolic chemotaxis system with singular sensitivity

Kentarou Fujie

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 424(1) 675-684, Apr, 2015 Peer-reviewed
Existence and uniqueness of local classical solutions to modified tumor invasion models of Chaplain-Anderson type

Kentarou Fujie, Akio Ito, Tomomi Yokota

Advances in Mathematical Sciences and Applications, 24 67-84, Dec, 2014 Peer-reviewed

Misc.

Energy-Like Functional in a Quasilinear Parabolic Chemotaxis System

Kentaro Fujie

Springer INdAM Series, 47 67-77, 2021 Peer-reviewed
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, Apr, 2016
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, Feb, 2016
Boundedness of solutions to parabolic-elliptic chemotaxis-growth systems with signal-dependent sensitivity

Fujie, K., Yokota, T.

Mathematica Bohemica, 139(4) 639-647, Jan, 2014 Peer-reviewedInvited
Boundedness in a quasilinear parabolic-parabolic Keller-Segel system with the sensitivity $v^{-1}S(u)$

Kentarou Fujie, Chihiro Nishiyama, Tomomi Yokota

AIMS Proceedings, 2015, 464-472 Peer-reviewed
On behavior of solutions to a chemotaxis system with a nonlinear sensitivity function

Kentarou Fujie, Takasi Senba

Proceedings of Equadiff 2017 Conference, 42-52 Peer-reviewedInvited
A generalization of the Keller-Segel system to higher dimensions from a structural viewpoint

Kentarou Fujie, Takasi Senba

Proceedings of Equadiff 2017 Conference, 275-282 Peer-reviewedInvited

Presentations

Self-similar solutions to a chemotaxis system with local sensing

Kentaro Fujie

Critical Phenomena in Nonlinear Partial Differential Equations, Harmonic Analysis, and Functional Inequalities, Nov 7, 2023 Invited
ある走化性方程式の少し重たい非有界な解について

藤江健太郎

東北大学大学院理学研究科数学専攻談話会, Nov 7, 2022 Invited
ある走化性方程式の少し重たい爆発解について

藤江健太郎

室蘭工大PDE 研究会, Sep 19, 2022 Invited
Local sensingの走化性方程式の非有界な解について

藤江健太郎

発展方程式における形状解析と漸近解析, Aug 2, 2022 Invited
Boundedness of solutions to a fully parabolic chemotaxis system with local sensing in higher dimensions

Kentaro FUJIE

The 23rd Northeastern Symposium on Mathematical Analysis, Feb 21, 2022 Invited
Global boundedness in a fully parabolic chemotaxis system with local sensing in higher dimensions

Jan 18, 2022 Invited
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, Dec 25, 2021
Behavior of solutions to a chemotaxis system with signal-dependent motilities

藤江健太郎

研究集会「微分方程式の総合的研究」, Dec 18, 2021 Invited
Local sensingの走化性方程式の時間大域解について

藤江健太郎

第 755 回応用解析研究会, Nov 27, 2021 Invited
ある準線型走化性方程式の大域的可解性について

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, Mar 18, 2021 Invited
Local sensingの走化性方程式の解挙動について

藤江健太郎

Critical Exponent and Nonlinear Partial Differential Equations 2021, Feb 22, 2021 Invited
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, Dec 26, 2020
On a Chemotaxis Model with Local Sensing

Sep 28, 2020 Invited
Comparison methods for a kinetic model of pattern formation with density-suppressed motilities

Feb 21, 2020 Invited
Comparison methods for a Keller-Segel-type reaction-diffusion system

Jan 25, 2020 Invited
On a kinetic model with density-suppressed motility for pattern formations

藤江健太郎

九州工業大学・数理セミナー, Dec 14, 2019 Invited
On a chemotaxis system with sensitivity functions

Kentarou Fujie

Oct 11, 2019 Invited
Mathematical Analysis of a Kinetic Model of Pattern Formation with Density-suppressed Motilities

Kentarou Fujie

RIMS Workshop: ”Pattern formation and defects in biology and materials science”, Oct 8, 2019 Invited
感応性関数をもつ Keller-Segel 系の臨界条件について

藤江健太郎

第50回南大阪応用数学セミナー, Jun 8, 2019 Invited
New energy-like functional in fully parabolic systems of chemotaxis

Kentaro Fujie

VI° Italian-Japanese Workshop GEOMETRIC PROPERTIES FOR PARABOLIC AND ELLIPTIC PDE's, May 20, 2019 Invited

Teaching Experience

Apr, 2022 - Aug, 2022

Analysis Tutorial B1 (Tohoku University)
Apr, 2022 - Aug, 2022

解析学Ｃ (Tohoku University)
Oct, 2020 - Feb, 2021

解析学概論D演習 (東北大学)
Apr, 2020 - Aug, 2020

解析学序論B (東北大学)
Oct, 2019 - Feb, 2020

解析学B (東北大学)
Oct, 2019 - Feb, 2020

線形代数学B (東北大学)
Apr, 2018 - Aug, 2018

論理と集合 (演習) (東京理科大学)
Apr, 2018 - Aug, 2018

解析学の基礎 (演習) (東京理科大学)
Sep, 2017 - Feb, 2018

幾何学基礎 (演習) (東京理科大学)
Sep, 2017 - Feb, 2018

微分方程式論 (演習) (東京理科大学)
Sep, 2017 - Feb, 2018

多変数の微分積分学 (演習) (東京理科大学)
Feb, 2017 - Mar, 2017

Mathematical Analysis 2 (Class) (Warsaw University)
Oct, 2016 - Feb, 2017

Mathematical Analysis 1 (Class) (Warsaw University)
Apr, 2016 - Aug, 2016

コンピュータ概論 (東京理科大学)

Professional Memberships

THE MATHEMATICAL SOCIETY OF JAPAN

Research Projects

Evolution equations describing non-standard irreversible processes --Analysis on singularities emerging in the dynamics of solutions--

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (B), Japan Society for the Promotion of Science, Apr, 2020 - Mar, 2024
Before, during and after the blow-up in the analysis of chemotaxis models: Macroscopic and microscopic viewpoints

Apr, 2021 - Mar, 2023
走化性方程式系の解構造に関する新展開

若手研究, 科学研究費補助金, Apr, 2019 - Mar, 2023

藤江健太郎
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

理研-東北大学科学技術ハブ共同研究プログラム, Apr, 2021 - Mar, 2022

東北大学側代表者藤江健太郎
一般化された走化性方程式系の解構造の解明

研究活動スタート支援, 科学研究費補助金, Apr, 2017 - Mar, 2019

藤江健太郎
Keller-Segel系及びその周辺の数学解析

特別研究員奨励費, 科学研究費補助金, Apr, 2015 - Aug, 2016

藤江健太郎

Academic Activities

First Franco-Japanese Workshop on Chemotaxis Models – Macroscopic and Microscopic Viewpoints –

Planning, management, etc.

(Tohoku University), Oct 22, 2022 - Oct 22, 2022
One-day Online Workshop on Chemotaxis

Planning, management, etc.

(Zoom), Jul 31, 2021
The 22nd Northeastern Symposium on Mathematical Analysis

Planning, management, etc.

(Tohoku University / zoom), Feb 15, 2021 - Feb 16, 2021
International Conference "Chemotaxis and Nonlinear Parabolic Equations" -In honor of Professor Takasi Senba on his 60th birthday-

Planning, management, etc.

(Kitakyushu International Conference Center), Nov 6, 2019 - Nov 8, 2019
Polish--Japanese Workshop on Chemotaxis

Planning, management, etc.

(Institute of Mathematics of the Polish Academy of Sciences), Dec 7, 2018 - Dec 8, 2018
Warsaw Chemotaxis Days

Planning, management, etc.

(Institute of Mathematics of the Polish Academy of Sciences), Oct 15, 2018 - Oct 19, 2018

Social Activities

東北大学出前講座

Lecturer

秋田県立秋田高等学校, May 31, 2023 - May 31, 2023

Profile Information

Research Interests

Research Areas

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Education

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Awards

Papers

Misc.

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