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Researcher Information

last modified:2019/08/07

Associate Professor NAKAMURA Ken-ichi

Mail Laboratory Website

Faculty, Affiliation

Faculty of Mathematics and Physics, Institute of Science and Engineering

College and School Educational Field

Division of Mathematical and Physical Science, Graduate School of Natural Science and Technology
Division of Mathematical and Physical Sciences, Graduate School of Natural Science and Technology

Laboratory

Academic Background

【Academic background(Doctoral/Master's Degree)】
The University of Tokyo Doctor 199703 Completed
【Academic background(Bachelor's Degree)】
The University of Tokyo 199103
【Degree】
Doctor of Mathematical Sciences

Career

Associate Professor, Faculty of Mathematics and Physics, Institute of Science and Engineering, Kanazawa University(2011/04/01-)
Assistant Professor, Faculty of Informatics and Engineering, The University of Electro-Communications(2010/04/01-2011/03/31)
Assistant Professor, Department of Computer Science, The University of Electro-Communications(2007/04/01-2010/03/31)
Research Associate, Department of Computer Science, The University of Electro-Communications(1997/04/01-2007/03/31)

Year & Month of Birth

1968/02

Academic Society




Award

Specialities

Speciality Keywords

Research Themes

Traveling waves in spatially heterogeneous media

Infinite dimensional dynamical systems generated by nonlinear diffusion equations

Books

Papers

  •  Stability and uniqueness of traveling waves for a discrete bistable 3-species competition system Jong-Shenq Guo, Ken-Ichi Nakamura, Toshiko Ogiwara, Chin-Chin Wu Journal of Mathematical Analysis and Applications 472 2 1534-1550 2019/04/15
  •  Numerical approach to three-dimensional model of cellular electrophysiology by the method of fundamental solutions Ken-Ichi Nakamura, Koya Sakakibara, Shigetoshi Yazaki JSIAM Letters 11 17-20 2019/03/05
  •  A stable finite difference method for a Cahn-Hilliard type equation with long-range interaction Hikaru Matsuoka, Ken-Ichi Nakamura Science Reports of Kanazawa University 57 13-34 2014/03
  •  Recurrent traveling waves in a two-dimensional saw-toothed cylinder and their average speed Bendong Lou, Hiroshi Matano and Ken-Ichi Nakamura JOURNAL OF DIFFERENTIAL EQUATIONS 255 3357-3411 2013/11
  •  Periodically growing solutions in a class of strongly monotone semiflows Ken-Ichi Nakamura and Toshiko Ogiwara Networks and Heterogeneous Media 7 4 881-891 2012/12

show all

  •  Periodic traveling waves in a two-dimensional cylinder with saw-toothed boundary and their homogenization limit Hiroshi Matano, Ken-Ichi Nakamura and Bendong Lou NETWORKS AND HETEROGENEOUS MEDIA 1 4 536-568 2006/12
  •  Bifurcations of steady states for the Eguchi–Oki–Matsumura model of phase separation Naoyuki Ishimura, Ken-Ichi Nakamura, Masaaki Nakamura Applicable Analysis 85 6-7 831-843 2006/06
  •  On the steadily rotating spirals  Jong-Shenq Guo, Ken-Ichi Nakamura, Toshiko Ogiwara and Je-Chiang Tsai JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS 23 1 1-19 2006/02
  •  Blow-up solutions appearing in the vorticity dynamics with linear strain  Ken-Ichi Nakamura, Hisashi Okamoto and Hiroki Yagisita JOURNAL OF MATHEMATICAL FLUID DYNAMICS 6 2 157-168 2004/06
  •  Spiral Traveling Wave Solutions of Nonlinear Diffusion Equations Related to a Model of Spiral Crystal Growth Toshiko Ogiwara, Ken-Ichi Nakamura Publications of Research Institute for Mathematical Sciences 39 767-783 2003/12/31
  •  Asymptotic behavior of solutions for nonlinear diffusion equations Toshiko Ogiwara, Ken-Ichi Nakamura Proceedings of the second international conference on non-linear analysis and convex analysis 363-372 2003
  •  Spiral traveling wave solutions of some parabolic equations on annuli Toshiko Ogiwara, Ken-Ichi Nakamura Josai Mathematical Monographs 2 15-34 2000
  •  Singular Limit of a Reaction-Diffusion Equation with a Spatially Inhomogeneous Reaction Term Ken-Ichi Nakamura, Hiroshi Matano, Danielle Hilhorst, Reiner Schätzle Journal of Statistical Physics 95 5-6 1165-1185 1999/05
  •  The global attractor of semilinear parabolic equations on $S^1$ Hiroshi Matano and Ken-Ichi Nakamura DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 3 1 1-24 1997/01

Conference Presentations

  • A variational problem arising from the modelling of epidermal basement membrane(2019/01/30)
  • Uniqueness and stability of monotone traveling waves for bistable lattice dynamical systems(conference:2018 China-Japan Workshop on Nonlinear Diffusion Problems)(2018/11/04)
  • Asymptotic Stability of Traveling Waves for Bistable Lattice Dynamical Systems of Cooperation Type(conference:The 12th AIMS Conference on Dynamical Systems, Differential Equations and Applications)(2018/07/09)
  • Effect of Diffusion Type on the Propagation Speed of Traveling Fronts in Periodic Environments(conference:The 12th AIMS Conference on Dynamical Systems, Differential Equations and Applications)(2018/07/06)

Arts and Fieldwork

Patent

Theme to the desired joint research

Grant-in-Aid for Scientific Research

○「個体群動態モデルに現れる界面ダイナミクスの数理解析・数値解析」(2018-2020) 
○「結晶表面におけるステップダイナミクスの数理解析・数値解析」(2015-2018) 
○「生体内の不均一な場における反応拡散波の伝播機構の解明」(2015-2017) 
○「非周期環境における界面ダイナミクスの数理的研究とその応用」(2012-2014) 

Classes (Bachelors)

○Lecture on Life in Campus and Society(2017)
○Mathematical Statistics b(2017)
○Linear Algebra 2(2017)
○Differential and Integral Calculus 1(2017)
○Mathematical Statistics(2017)
○Mathematical Statistics a(2017)
○Introduction to Information Technology(2016)
○Analysis 3A(2016)
○Analysis 3B(2016)
○Advanced Calculus 1A(2016)
○Advanced Calculus 1B(2016)

Classes (Graduate Schools)

○Analysis IIa(2017)
○Exercise A(2017)
○Analysis IIb(2017)
○Seminar A(2017)
○Research Work A(2017)
○Partial Differential Equations(2017)
○Partial Differential Equations(2017)
○Partial Differential Equations(2017)
○Partial Differential Equations(2017)
○Partial Differential Equations(2016)
○Exercise A(2016)
○Seminar A(2016)
○Research Work A(2016)

International Project

International Students

Lecture themes

Others (Social Activities)

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