Concurrent Post
-
Faculty of Science and Engineering Graduate School of Fundamental Science and Engineering
Details of a Researcher
Updated on 2022/05/21
Faculty of Science and Engineering Graduate School of Fundamental Science and Engineering
理工学術院総合研究所 兼任研究員
Waseda University Graduate School, Division of Science and Engineering Department of Mathematical Sciences
早稲田大学 修士(理学)
早稲田大学 博士(理学)
Waseda University Faculty of Science and Engineering
The University of Electro-Communications Faculty of Informatics and Engineering Professor
The University of Electro-Communications Faculty of Informatics and Engineering Associate Professor
Fukuoka Institute of Technology Faculty of Engineering Associate Professor
Fukuoka Institute of Technology Faculty of Engneering Lecturer
Waseda University Faculty of Science and Engineering Assistant Professor
Japan Society for the Promotion of Science Research Fellowship for Young Scientists
The Mathematical Society of Japan
THE JAPAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS
Mathematical analysis
Basic analysis
degree
singular limit
spiky solution
transition layer
bifurcation
reaction diffusion equations
nonlinear diffusion
写像度
特異摂動
スパイク解
遷移層
分岐
反応拡散方程式
非線形拡散
Representation formulas of solutions and bifurcation sheets to a nonlocal Allen-Cahn equation
Tatsuki Mori, Kousuke Kuto, Tohru Tsujikawa, Shoji Yotsutani
Discrete & Continuous Dynamical Systems - A 40 ( 8 ) 4907 - 4925 2020
Positive steady states for a prey-predator model with population flux by attractive transition
Kazuhiro Oeda, Kousuke Kuto
Nonlinear Analysis: Real World Applications 44 589 - 615 2018.07 [Refereed]
Global solution branches for a nonlocal Allen-Cahn equation
Kousuke Kuto, Tatsuki Mori, Tohru Tsujikawa, Shoji Yotsutani
Journal of Differential Equations 264 ( 9 ) 5928 - 5949 2018.02 [Refereed]
Bifurcation structure of stationary solutions for a chemotaxis system with bistable growth
Hirofumi Izuhara, Kousuke Kuto, Tohru Tsujikawa
Japan Journal of Industrial and Applied Mathematics Online First Articles 1 - 35 2018.01 [Refereed]
Concentration profile of endemic equilibrium of a reaction-diffusion-advection SIS epidemic model
Kousuke Kuto, Hiroshi Matsuzawa, Rui Peng
Calculus of Variations and Partial Differential Equations 56 ( Article No. 112 ) 28 - pages 2017.07 [Refereed]
Secondary bifurcation for a nonlocal Allen-Cahn equation
Kousuke Kuto, Tatsuki Mori, Tohru Tsujikawa, Shoji Yotsutani
Journal of Differential Equations 263 ( 5 ) 2687 - 2714 2017.04 [Refereed]
EXACT MULTIPLICITY OF STATIONARY LIMITING PROBLEMS OF A CELL POLARIZATION MODEL
Tatsuki Mori, Kousuke Kuto, Tohru Tsujikawa, Shoji Yotsutani
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 36 ( 10 ) 5627 - 5655 2016.10 [Refereed]
Tatsuki Mori, Kousuke Kuto, Masaharu Nagayama, Tohru Tsujikawa, Shoji Yotsutani
Discrete and Continuous Dynamical Systems Special Issue 861 - 877 2015.11 [Refereed] [Invited]
STATIONARY SOLUTIONS FOR SOME SHADOW SYSTEM OF THE KELLER-SEGEL MODEL WITH LOGISTIC GROWTH
Tohru Tsujikawa, Kousuke Kuto, Yasuhito Miyamoto, Hirofumi Izuhara
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S 8 ( 5 ) 1023 - 1034 2015.10 [Refereed]
Limiting structure of steady-states to the Lotka-Volterra competition model with large diffusion and advection
Kousuke Kuto, Tohru Tsujikawa
JOURNAL OF DIFFERENTIAL EQUATIONS 258 ( 5 ) 1801 - 1858 2015.03 [Refereed]
LIMITING STRUCTURE OF SHRINKING SOLUTIONS TO THE STATIONARY SHIGESADA-KAWASAKI-TERAMOTO MODEL WITH LARGE CROSS-DIFFUSION
Kousuke Kuto
SIAM JOURNAL ON MATHEMATICAL ANALYSIS 47 ( 5 ) 3993 - 4024 2015 [Refereed]
Bifurcation structure of steady-states for bistable equations with nonlocal constraint
Kousuke Kuto, Tohru Tsujikawa
Discrete and Continuous Dynamical Systems Suppl. Vol. 455 - 464 2013.11 [Refereed]
Bifurcation structure of stationary layers for generalized Allen-Cahn equations with nonlocal constraint
Kousuke Kuto
数理解析研究所講究録 1838 102 - 115 2013.06
Stationary patterns for an adsorbate-induced phase transition model: II. Shadow system
Kousuke Kuto, Tohru Tsujikawa
Nonlinearity 26 ( 5 ) 1313 - 1343 2013.05 [Refereed]
ON LIMIT SYSTEMS FOR SOME POPULATION MODELS WITH CROSS-DIFFUSION
Kousuke Kuto, Yoshio Yamada
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B 17 ( 8 ) 2745 - 2769 2012.11 [Refereed]
Spatial pattern formation in a chemotaxis-diffusion-growth model
Kousuke Kuto, Koichi Osaki, Tatsunari Sakurai, Tohru Tsujikawa
PHYSICA D-NONLINEAR PHENOMENA 241 ( 19 ) 1629 - 1639 2012.10 [Refereed]
Universal bound for stationary patterns of an adsorbate-induced phase transition model
Kousuke Kuto, Tohru Tsujikawa
Journal of Math-for-Industry 3 ( C-9 ) 69 - 72 2011.12 [Refereed]
STATIONARY PATTERNS FOR AN ADSORBATE-INDUCED PHASE TRANSITION MODEL I: EXISTENCE
Kousuke Kuto, Tohru Tsujikawa
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B 14 ( 3 ) 1105 - 1117 2010.10 [Refereed]
Positive solutions for Lotka-Volterra competition systems with large cross-diffusion
Kousuke Kuto, Yoshio Yamada
APPLICABLE ANALYSIS 89 ( 7 ) 1037 - 1066 2010 [Refereed]
Coexistence problem for a prey-predator model with density-dependent diffusion
Kousuke Kuto, Yoshio Yamada
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 71 ( 12 ) E2223 - E2232 2009.12 [Refereed]
LIMITING CHARACTERIZATION OF STATIONARY SOLUTIONS FOR A PREY-PREDATOR MODEL WITH NONLINEAR DIFFUSION OF FRACTIONAL TYPE
Kousuke Kuto, Yoshio Yamada
DIFFERENTIAL AND INTEGRAL EQUATIONS 22 ( 7-8 ) 725 - 752 2009.07 [Refereed]
STABILITY AND HOPF BIFURCATION OF COEXISTENCE STEADY-STATES TO AN SKT MODEL IN SPATIALLY HETEROGENEOUS ENVIRONMENT
Kousuke Kuto
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 24 ( 2 ) 489 - 509 2009.06 [Refereed]
Bifurcation branch of stationary solutions for a Lotka-Volterra cross-diffusion system in a spatially heterogeneous environment
Kousuke Kuto
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS 10 ( 2 ) 943 - 965 2009.04 [Refereed]
Shadow system for adsorbate-induced phase transition model
Kousuke Kuto, Tohru Tsujikawa
RIMS Kôkyûroku Bessatsu B15 1 - 14 2009 [Refereed]
Bifurcation structure of steady-states for an adsorbate-induced phase transition model
Kousuke Kuto
数理解析研究所講究録 1640 129 - 143 2009
Bifurcation phenomena of pattern solution to Mimura-Tsujikawa model in one dimension
Naoko Kurata, Kousuke Kuto, Koichi Osaki, Tohru Tsujikawa, Tatsunari Sakurai
GAKUTO International Series. Mathematical Sciences and Applications 29 265 - 278 2008 [Refereed]
A strongly coupled diffusion effect on the stationary solution set of a prey-predator model
Kousuke Kuto
Advances in Differential Equations 12 ( 2 ) 145 - 172 2007 [Refereed]
Pattern formation for adsorbate-induced phase transition model
Kousuke Kuto, Tohru Tsujikawa
RIMS Kôkyûroku Bessatsu B3 43 - 58 2007 [Refereed]
A Lotka-Volterra cross-diffusion model in spatially heterogeneous environments
Kousuke Kuto
数理解析研究所講究録 1542 41 - 57 2007
Positive steady states for a prey-predator model with some nonlinear diffusion terms
Tomohito Kadota, Kousuke Kuto
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 323 ( 2 ) 1387 - 1401 2006.11 [Refereed]
Numerical analysis of optical waveguides based on periodic Fourier transform
K. Watanabe, K. Kuto
PROGRESS IN ELECTROMAGNETICS RESEARCH-PIER 64 1 - 21 2006 [Refereed]
Bifurcation structure of the stationary solution set to a strongly coupled diffusion system
Kousuke Kuto
数理解析研究所講究録 1475 73 - 90 2006
Coexistence states for a prey-predator model with cross-diffusion
Kousuke Kuto, Yoshio Yamada
Discrete and Continuous Dynamical Systems Suppl. Vol. 536 - 545 2005 [Refereed]
Positive solutions to some cross-diffusion systems in population dynamics
Kousuke Kuto
数理解析研究所講究録 1416 64 - 84 2005
Multiple coexistence states for a prey-predator system with cross-diffusion
K Kuto, Y Yamada
JOURNAL OF DIFFERENTIAL EQUATIONS 197 ( 2 ) 315 - 348 2004.03 [Refereed]
Stability of steady-state solutions to a prey-predator system with cross-diffusion
K Kuto
JOURNAL OF DIFFERENTIAL EQUATIONS 197 ( 2 ) 293 - 314 2004.03 [Refereed]
Multiple existence and stability of steady-states for a prey-predator system with cross-diffusion
Kousuke Kuto, Yoshio Yamada
Banach Center Publications 66 536 - 545 2004 [Refereed]
Large-time behavior of solutions of diffusion equations with concave-convex reaction term
Kousuke Kuto
Advances in Mathematical Sciences and Applications 12 ( 1 ) 307 - 325 2002 [Refereed]
Stabilization of solutions of the diffusion equation with a non-Lipschitz reaction term
K Kuto
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 47 ( 2 ) 789 - 800 2001.08 [Refereed]
Diffusion problems with concave-convex nonliearities
Kousuke Kuto
数理解析研究所講究録 1237 83 - 96 2001
非線形拡散を伴うSKTモデルに現れる定常パターンの大域分岐構造
Project Year :
Advanced Topic in Modern Mathematical Sciences 2
School of Fundamental Science and Engineering
2022 winter quarter
Seminar on Nonlinear Systems D
Graduate School of Fundamental Science and Engineering
2022 fall semester
Seminar on Nonlinear Systems C
Graduate School of Fundamental Science and Engineering
2022 spring semester
Seminar on Nonlinear Systems B
Graduate School of Fundamental Science and Engineering
2022 fall semester
Seminar on Nonlinear Systems A
Graduate School of Fundamental Science and Engineering
2022 spring semester
Graduate School of Fundamental Science and Engineering
2022 spring semester
Master's Thesis (Department of Pure and Applied Mathematics)
Graduate School of Fundamental Science and Engineering
2022 full year
Master's Thesis (Department of Pure and Applied Mathematics)
Graduate School of Fundamental Science and Engineering
2022 full year
Seminar on Nonlinear Systems D
Graduate School of Fundamental Science and Engineering
2022 fall semester
Seminar on Nonlinear Systems C
Graduate School of Fundamental Science and Engineering
2022 spring semester
Seminar on Nonlinear Systems B
Graduate School of Fundamental Science and Engineering
2022 fall semester
Seminar on Nonlinear Systems A
Graduate School of Fundamental Science and Engineering
2022 spring semester
Perspectives in Mathematical Sciences [S Grade]
School of Fundamental Science and Engineering
2022 spring semester
Perspectives in Mathematical Sciences
School of Fundamental Science and Engineering
2022 spring semester
Seminar in Applied Mathematics B [S Grade]
School of Fundamental Science and Engineering
2022 fall semester
Survey of Applied Mathematics [S Grade]
School of Fundamental Science and Engineering
2022 full year
Seminar in Applied Mathematics A [S Grade]
School of Fundamental Science and Engineering
2022 spring semester
Differential Equations and Mathematical Models [S Grade]
School of Fundamental Science and Engineering
2022 spring semester
Differential Equations and Mathematical Models
School of Fundamental Science and Engineering
2022 spring semester
Seminar in Mathematics A [S Grade]
School of Fundamental Science and Engineering
2022 spring semester
微積分3, 応用数学6
Waseda University
微積分3, 応用数学6
早稲田大学
Analysis 1A
Waseda University
解析学1A
早稲田大学
Advanced Topics in Analysis
The University of Electro-Communications
解析学特論
電気通信大学
Analysis
The University of Electro-Communications
解析学
電気通信大学
Calculus II
The University of Electro-Communications
微分積分学第二
電気通信大学
Calculus Ⅰ
The University of Electro-Communications
微分積分学第一
電気通信大学
Analysis
The University of Electro-Communications
解析学
電気通信大学
Linear Algebra II
The University of Electro-Communications
線形代数学第二
電気通信大学
Introduction to Modern Mathematics A
The University of Electro-Communications
現代数学入門A
電気通信大学
Mathematics Exercise I
The University of Electro-Communications
数学演習第一
電気通信大学
Linear Algebra I
The University of Electro-Communications
線形代数学第一
電気通信大学
Calculus 3, Applied Mathematics 6
Waseda University
微積分3, 応用数学6
早稲田大学
Analysis 1A
Waseda University
解析学1A
早稲田大学
Calculus 3, Applied Mathematics 6
Waseda University
微積分3, 応用数学6
早稲田大学
Analysis 1A
Waseda University
解析学1A
早稲田大学
Advanced Topics in Analysis
The University of Electro-Communications
解析学特論
電気通信大学
Exercise in Mathematics II
The University of Electro-Communications
数学演習第二
電気通信大学
Analysis
The University of Electro-Communications
解析学
電気通信大学
Calculus Ⅱ
The University of Electro-Communications
微分積分学第二
電気通信大学
Introduction to Modern Mathematics A
The University of Electro-Communications
現代数学入門A
電気通信大学
Exercise in Mathematics I
The University of Electro-Communications
数学演習第一
電気通信大学
数理科学特殊講義VIII(集中講義)
関西学院大学
数理科学特殊講義VIII(集中講義)
関西学院大学
解析学1A
早稲田大学
解析学1A
早稲田大学
Advanced Topics in Analysis
The University of Electro-Communications
解析学特論
電気通信大学
Exercise in Mathematics Ⅱ
The University of Electro-Communications
数学演習第二
電気通信大学
Analysis
The University of Electro-Communications
解析学
電気通信大学
Analysis
The University of Electro-Communications
解析学
電気通信大学
Exercise in Mathematics Ⅰ
The University of Electro-Communications
数学演習第一
電気通信大学
Linear Algebra I
The University of Electro-Communications
線形代数学第一
電気通信大学
Linear Algebra I
The University of Electro-Communications
線形代数学第一
電気通信大学
Advanced Topics in Analysis
The University of Electro-Communications
解析学特論
電気通信大学
Exercise in Mathematics II
The University of Electro-Communications
数学演習第二
電気通信大学
Analysis
The University of Electro-Communications
解析学
電気通信大学
Calculus 3, Applied Mathematics 6
Waseda University
微積分3, 応用数学6
早稲田大学
Introductory Linear Algebra Ⅰ
The University of Electro-Communications
ベクトルと行列第一
電気通信大学
Introduction to Modern Mathematics A
The University of Electro-Communications
現代数学入門A
電気通信大学
Analysis 1A
Waseda University
解析学1A
早稲田大学