発表論文

学術論文(査読あり)

  1. Hiroshi Matano and Ken-Ichi Nakamura:
    The global attractor of semilinear parabolic equations on $S^1$,
    Discrete and Continuous Dynamical Systems, 3 (1997), 1-24.

  2. Ken-Ichi Nakamura, Hiroshi Matano, Danielle Hilhorst and Reiner Schaetzle:
    Singular limit of a reaction-diffusion equation with a spatially inhomogeneous reaction term,
    Jounal of Statistical Physics, 95 (1999), 1165-1185.

  3. Toshiko Ogiwara and Ken-Ichi Nakamura:
    Spiral traveling wave solutions of some parabolic equations on annuli,
    Proceedings of the Fourth Symposium on Nonlinear Analysis (refreed), Josai Mathematical Monographs, 2 (2000), 15-34.

  4. Toshiko Ogiwara and Ken-Ichi Nakamura:
    Asymptotic behavior of solutions for nonlinear diffusion equations,
    Proceedings of the second international conference on nonlinear analysis and convex analysis (refereed), (2003), pp.363--372.

  5. Toshiko Ogiwara and Ken-Ichi Nakamura:
    Spiral traveling wave solutions of nonlinear diffusion equations related to a model of spiral crystal growth,
    Publications of Research Institute for Mathematical Sciences, Vol. 39, No. 4 (2003), pp.767--783.

  6. Ken-Ichi Nakamura, Hisashi Okamoto and Hiroki Yagisita:
    Blow-up solutions appearing in the vorticity dynamics with linear strain
    Journal of Mathematical Fluid Mechanics, Vol. 6, No. 2 (2004), pp.157--168.

  7. Jong-Shenq Guo, Ken-Ichi Nakamura, Toshiko Ogiwara and Je-Chiang Tsai:
    On the steadily rotating spirals
    Japan Journal of Industrial and Applied Mathematics, Vol. 23, No. 1 (2006), pp.1--19.

  8. Naoyuki Ishimura, Ken-Ichi Nakamura and Masaaki Nakamura:
    Bifurcations of steady states for the Eguchi-Oki-Matsumura model of phase separation,
    Applicable Analysis, Vol. 85, Nos. 6-7 (2006), pp.831--843.

  9. Hiroshi Matano, Ken-Ichi Nakamura and Bendong Lou:
    Periodic traveling waves in a two-dimensional cylinder with saw-toothed boundary and their homogenization limit,
    Networks and Heterogeneous Media, Vol. 1, No. 4 (2006), pp.537--568.

  10. Ken-Ichi Nakamura and Toshiko Ogiwara:
    Periodically growing solutions in a class of strongly monotone semiflows,
    Networks and Heterogeneous Media, Vol. 7, No. 4 (2012), pp.881--891.

  11. Bendong Lou, Hiroshi Matano and Ken-Ichi Nakamura:
    Recurrent traveling waves in a two-dimensional saw-toothed cylinder and their average speed,
    Journal of Differential Equations, Vol. 255 (2013), pp.3357-3411.

  12. Hikaru Matsuoka and Ken-Ichi Nakamura:
    A stable finite difference method for a Cahn-Hilliard type equation with long-range interaction,
    Science Reports of Kanazawa University, Vol. 57 (2013), pp.13-34.

国際研究集会報告集

  1. Ken-Ichi Nakamura:
    Effective speed of travelling wavefronts in inhomogeneous media,
    Proceedings of the Workshop "Nonlinear Partial Differential Equations and Related Topics", Joint Research Center for Science and Technology of Ryukoku University, (1999), pp.53--60.

  2. Toshiko Ogiwara and Ken-Ichi Nakamura:
    Asymptotic behavior of solutions to a model of spiral crystal growth,
    数理解析研究所講究録 1258 「非線形拡散系とその周辺」, (2002), pp.72--84.

  3. 岡本 久, 中村 健一, 柳下 浩紀:
    Navier-Stokes 方程式の非有界な解は爆発し得る,
    数理解析研究所講究録 1322 「流体と気体の数学解析」, (2003), pp.102--106.

  4. Ken-Ichi Nakamura:
    Bounds for effective speeds of traveling fronts in spatially periodic media,
    数理解析研究所講究録 1330 「反応拡散方程式系に現れる動的パターンの 解析とその周辺」, (2003), pp.79--87.

  5. Toshiko Ogiwara and Ken-Ichi Nakamura:
    Asymptotic behavior of solutions to a quasi-linear parabolic equation,
    Proceedings of the 12th Tokyo Conference on Nonlinear PDE, (2003), pp.71--76.

  6. Bendong Lou, Matano Hiroshi and Ken-Ichi Nakamura:
    Traveling waves in a band domain with quasi-periodically undulating boundaries,
    数理解析研究所講究録 1356 「反応拡散系におけるパターン形成と 漸近的幾何構造の研究」, (2004), pp.73--81.

  7. Ken-Ichi Nakamura and Toshiko Ogiwara:
    Large time behavior of unbounded global solutions to some nonlinear diffusion equations,
    数理解析研究所講究録 1464 「変分問題とその周辺」, (2006), pp.164--172.

  8. 中村 健一:
    均質化の基本的なアイデアと不均質媒体中の フロント伝播への応用,
    数理解析研究所講究録 1597 「第4回生物数学の理論とその応用」, (2008), pp.62--68.

その他論文

  1. Ken-Ichi Nakamura:
    Traveling fronts in spatially periodic media governed by a bistable nonlinearity
    Preprint.

  2. Ken-Ichi Nakamura:
    Bounds for effective speeds of traveling fronts in spatially periodic media
    Preprint.