論文リスト

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1980'   1990'   2000' 図書
1980 - 1989
1 S.-I. Ei and M. Mimura, Transient and large time behavors of solutions to heterogeneous reaction-diffusion equations, Hiroshima Math. J. vol.14, 649-678, 1984.
2 S.-I. Ei, The effect of non-local convection on reaction- diffusion equations, Hiroshima Math. J. vol.17, 281-307, 1987.
3 S.-I. Ei, Two-timing methods with applications to heterogeneous reaction-diffusion systems, Hiroshima Math. J. vol. 18, 127-160, 1988.
4 S.-I. Ei, M. Mimura and S. Takigawa, Transient and large time behaviors of solutions of a size-space distribution model including chemotactic aggregation, Japan J. Appl. Math. vol. 6, 223-244, 1989.
5 M. Mimura, S.-I. Ei and M. Kuwamura, Phase separation in an activator-inhibitor medium, Forma 4, 65-73, 1989.
  
1990 - 1999
6 S.-I. Ei and M. Mimura, Pattern formation in heterogeneous reaction-diffusion-　advection systems with an application to population dynamics, SIAM J. Math. Anal. vol. 21, 346-361, 1990.
7 M. Mimura, S.-I. Ei and Q. Fang, Effect of domain-shape on coexistence problems in a competition-diffusion system, J. Math. Biol. 29, 219-237, 1991.
8 S.-I. Ei, Two-timing methods with applications to nonlinear parabolic equations, Lecture Notes in Num. Appl. Anal. 11, Nonlinear PDE-JAPAN Symposium 1989 (eds. K. Masuda and M. Mimura) 37-53, Kinokuniya, Tokyo, 1991.
9 S.-I. Ei and M. Mimura, Relaxation oscillations in combustion models of thermal self-ignition, J.D.D.E. vol.4, 191-229, 1992.
10 M. Kuwamura, S.-I. Ei and M. Mimura, Very slow dynamics for some reaction- diffusion systems of the acativator-inhibitor type, J.JIAM vol.9, 35-77, 1992.
11 K. Ohara, S.-I. Ei and T. Nagai, Stationary solutions of a reaction-diffusion equation with a nonlocal convection, Hiroshima Math. J. vol. 22, 365-386, 1992.
12 S.-I. Ei, M. Mimura and Q. Fang, Domain-dependency of solutions to combustion model equations, Nonlinear PDEs with application to patterns, waves and interfaces (eds. M. Mimura and T. Nishida) 323-356 (Chapter 13), KTK Scientific Publications, Tokyo, 1992.
13 S.-I. Ei, Q. Fang and M. Mimura, S. Sakamoto, Failure of oscillations in combustion model equations, Lecture Notes in Num. Appl. Anal. 12, Nonlinear PDE-JAPAN Symposium 2 1991 (eds. K. Masuda, M. Mimura and T. Nishida) 87-110, Kinokuniya, Tokyo, 1993.
14 S.-I. Ei and E. Yanagida, Stability of stationary interfaces in a generalized mean curvature flow, J. Fac. Sci. Univ. Tokyo Sec. IA, vol. 40(3), 651-661, 1994.
15 S.-I. Ei and E. Ynagagida, Dynamics of interfaces in competition-diffusion systems, SIAM J. Appl. Math. vol. 54(5), 1355-1373, 1994.
16 S.-I. Ei, Interaction of pulses in FitzHugh-Nagumo equations, Reaction-Diffusion Equations and Their Applications and Computational Aspects, China-Japan Symposium (eds. T-T. Li, M. Mimura, Y. Nishiura, Q-X. Ye) pp.6-13, World Scientific, 1994.
17 S.-I. Ei and T. Ohta, Equation of motion for interacting pulses, Physical Review E vol. 50(6), 4672-4678, 1994.
18 S.-I. Ei and E. Yanagida, Instability of stationary solutions for equations of curvature-driven motion of curves, J.D.D.E. vol.7(3), 423-435, 1995.
19 S.-I. Ei, M.-H. Sato and E. Yanagida, Stability of stationary interfaces with contact angle in a generalized mean curvature flow, American J. Math. vol. 118 No. 3(1996), 653-687.
20 S.-I. Ei, M. Iida and E. Yanagida, Dynamics of interfaces in a scalar parabolic equation with variable diffusion coefficients, Japan J. Ind. Appl. Math. Vol.14 No.1(1997), 1-23.
21 M. Mimura, K. Sakamoto and S.-I. Ei, Singular perturbation problems to a combustion equation in very long cylindrical domains, AMS/IP Studies in Advanced Math. vol. 3(1997), 75-84.
22 S.-I. Ei and E. Yanagida, Slow dynamics of interfaces in the Allen-Cahn equation on a strip-like domain, SIAM J. Math. Anal. vol. 29(1998), 555-595.
23 S.-I. Ei, R. Ikota and M. Mimura, Segregating pattern problem in competition-diffusion systems, J. Interfaces and Free Boundaries vol. 1(1999), 57-80.
  
2000 -2010 
24 S.-I. Ei, K. Fujii and T. Kunihiro, Renormalization-group method for reduction of evolution equations; invariant manifolds and envelopes, Annals of Physics 280 (2000), 236-298.
25 S.-I. Ei, The motion of weakly interacting pulses in reaction- diffusion systems, J.D.D.E. 14(1) (2002), 85-137.
26 S.-I. Ei, Y. Nishiura and K. Ueda, 2^n-splitting or Edge-splitting, Japan J. Ind. Appl. Math. 18(2) (2001), 181-205.
27 S.-I. Ei and J. Wei, Dynamics of metastable localized patterns and its application to the interaction of spike solutions for the Gierer-Meinhardt systems in two spatial dimension, Japan J. Ind. Appl. Math. 19(2) (2002), 181-226.
28 S.-I. Ei, M. Mimura and M. Nagayama, Pulse-pulse interaction in reaction-diffusion systems, Physica D 165 (2002), 176-198.
29 K. Ohgane, S.-I. Ei and K. Kudo, T. Ohtsuki, Emergence of adaptability to time delay in bipedal locomotion, Biol. Cybern. 90(2) (2004), 125-132.
30 S.-I. Ei, M. Mimura and M. Nagayama, Interacting Spots in reaction diffusion systems, to appear in DCDS.
31 S.-I. Ei, M. Kuwamura, Y. Morita, A Variational Approach to Singular Perturbation Problems in Reaction-Diffusion Systems, Physica D.207 (2005), 171-219.
32 Akane Ohgane, Kunishige Ohgane, Shin-ichiro Ei, Hitoshi Mahara, Tatsuyuki Ohtsuki, ‘Initial state’ coordinations reproduce the instant flexibility for human walking, Biol Cybern. 93 (2005), 426-435.
33 S.-I. Ei, M. Mimura and M. Nagayama, Interacting Spots in reaction diffusion systems, DCDS 14 (2006), 31-62.
34 S.-I. Ei, H. Ikeda and T. Kawana, Dynamics of front solutions in a specific reaction-diffusion system in one dimension, Japan J. Ind. Appl. Math. 25 (2008), 117-147.
35 K. Ohgane, S.-I. Ei and H. Mahara, Neuron phase shift adaptive to time delay in locomotor control, to appear in Appl. Math. Modelling.
36 Xinfu Chen, S.-I. Ei and M. Mimura, SELF--MOTION OF CAMPHOR DISCS -MODEL AND ANALYSIS-, NETWORKS AND HETEROGENEOUS MEDIA Volume 4, Number 1 (2009), 1-18.  
37 S.-I. Ei, H. Ikeda, K. Ikeda and E. Yanagida, Eigenfunctions of the adjoint operator associated with a pulse solution of some reaction-diffusion systems, Bull. Inst. Math. Academia Sinica vol. 3(2008) no. 4, 603-666.  
 38   Shin-Ichiro Ei, Yasumasa Nishiura, Kei-Ichi Ueda, Pulse dynamics for reaction-diffusion systems in the neighborhood of codimension two singularity, J. of Math. for Industry vol. 1 (2009), 91-95.  
 39  S.-I. Ei and T. Tsujikawa, The dynamics of weakly interacting fronts in an adsorbateinduced phase transition model, Kybernetika (Prague) 45 (2009), no. 4, 625--633.  
 40  S.-I. Ei and H. Matsuzawa, The motion of a transition layer for a bistable reaction diffusion equation with heterogeneous environment, DCDS vol. 26, number 3, March (2010), 901-921.  
 41  H. Ikeda and S.-I. Ei, Front dynamics in heterogeneous diffusive media, Physica D 239 (2010), 1637-1649.  
 42  Chao-Nien Chen, Shin-Ichiro Ei and Ya-Ping Lin, Turing Patterns and Wavefronts for Reaction-Diffusion systems in an Infinite Channels, SIAM J. Appl. Math. 70 No.8 (2010), 2822-2843.  
   

2010-2020

  
     
 43  Chao-Nien Chen, Shin-Ichiro Ei, Ya-Ping Lin and Shin-Yin Kung, Standing Waves Joining with Turing Patterns in FitzHugh-Nagumo Type Systems, Communications in Partial Differential Equations, 36 (2011), 1-18.  
 44  Shin-Ichiro Ei and Kunishige Ohgane, A new treatment for periodic solutions and coupled oscillators, Kyushu J. Mathematics vol.65 No.2 (2011), 197-217.  
 45  Shin-Ichiro Ei, Kota Ikeda and Yasuhito Miyamoto, Dynamics of a boundary spike for the shadow Gierer-Meinhardt system, Commun. Pure Appl. Anal. 11 (2012), no. 1, 115-145.  
 46  S.-I. Ei, Dynamics of pulses on a thin strip-like domain in $\bm{R}^2$, RIMS Kokyuroku Bessatsu B31 (2012) 195-210.  
 47  S.-I. Ei, H. Izuhara and M. Mimura, Infinite dimensional relaxation oscillation in aggregation-growth systems, Discrete and Continuous Dynamical Systems, Series B, 17 (2012) 1859 - 1887.  
 48  S.-I. Ei, H. Izuhara and M. Mimura, Infinite dimensional relaxation oscillation in reaction-diffusion systems, RIMS Kokyuroku Bessatsu B35 (2012), 31-40.  
 49  Wulin Weng, Shin-Ichiro Ei and Kunishige Ohgane, The functional roles of time delay on exible phase-locking in Bipedal locomotion, Journal of Math-for-Industry, Vol. 4 (2012B-7), pp. 123-133.  
 50  S.-I. Ei and T. Ishimoto, Dynamics and their interaction of spikes on smoothly curved boundaries for reaction-diffusion systems in 2D, Japan. J. Ind. Appl. Math. 30 (2013), no. 1, 69 - 90. 10.1007/s13160-012-0088-7  
 51  S.-I. Ei and T. Ishimoto, Effect of boundary conditions on the dynamics of a pulse solution for reaction-diffusion systems, NETWORKS AND HETEROGENEOUS MEDIA, Volume 8, Number 1, March (2013), pp. 191- 209,.10.1007/s13160-012-0088-7  
 52  S.-I. Ei, K. Ikeda, M. Nagayama and A. Tomoeda, APPLICATION OF A CENTER MANIFOLD THEORY TO A REACTION-DIFFUSION SYSTEM OF COLLECTIVE MOTION OF CAMPHOR DISKS AND BOATS, MATHEMATICA BOHEMICA, 139, No.2 (2014), 363-371.  
 53  Yanagida, Eiji; Ikeda, Kota; Ei, Shin-Ichiro; Instability of multi-spot patterns in shadow systems of reaction-diffusion equations, Commun. Pure Appl. Anal. 14 (2015), no. 2, 717-736.  
 54  S.-I. Ei, K. Ikeda, M. Nagayama and A. Tomoeda, REDUCED MODEL FROM A REACTION-DIFFUSION SYSTEM OF COLLECTIVE MOTION OF CAMPHOR BOATS, DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, SERIES S Volume 8, Number 5, October 2015, 847-856., doi:10.3934/dcdss.2015.8.847  
 55  Shin-Ichiro Ei, Kei Nishi, Yasumasa Nishiura and Takashi Teramoto, ANNIHILATION OF TWO INTERFACES IN A HYBRID SYSTEM, DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS SERIES S, Volume 8, Number 5, October 2015, 857-869., doi:10.3934/dcdss.2015.8.857  
   
  
図書 及び 総説
1 栄, 神経繊維モデルにおけるパルスの相互作用について、横浜市立大学論叢 自然科学系列 46巻2号(1995.3.31), 45-64.
2 栄, 数理で見た自然, アカデミアの森へ, 横浜市立大学 1996, 207-214,
3 栄, 数理を通してみた形態形成, 科学技術の進歩とひろがり, 横浜市立大学一般教育委員会 1996, 42-45.
4 栄, 反応拡散方程式とパターン形成, 数理科学 11月号(1997), サイエンス社, 23-29.
5 柳田, 栄, 常微分方程式論, 朝倉書店 2002, 215p.
6 栄, パルス状局在パターンのダイナミクスについて, 横浜市立大学論叢 自然科学系列 53巻3号(2002.3.31),
7 周期解の取り扱いに関する一考察, 応用数理 (岩波) vol.14 No.1 (2004), 35-47.
8 三村, 上山, 西浦, 長山, 栄, パターン形成とダイナミクス, 東大出版会, 2006, 149p.
9 S.-I. Ei, Dynamics of Turing Patterns for Reaction-Diffusion Systems in a Cylindrical Domain on 2D, Proceedings of Hyperbolic problems, Theory, Numerics and Applications 2004 (eds. Asakura, Aiso, Kawashima,Matsumura, Nishibata, Nishihara), 121-128, yokohama Publishers, 2006.
10 藤原毅夫、栄伸一郎, フーリエ解析+偏微分方程式, 裳華房, 2007, 198p.
 11  栄伸一郎, 山田光太郎, パターン形成の数理, 講談社, 2008, 126p.
 12  栄伸一郎, 反応拡散系の数理, 自己組織化ハンドブック 2009 NTS出版. 1.2節 149-154.
 13  科学・技術の研究課題への数学アプローチ : 数学モデリングの基礎と展開, 西井 龍映, 栄 伸一郎, 岡田 勘三, 落合 啓之, 小磯 深幸, 斎藤 新悟, 白井 朋之, （COE lecture note : Kyushu University, v. 46）（MI lecture note series） 九州大学マス・フォア・インダストリ研究所 :九州大学大学院数理学研究院グローバルCOEプログラム 「マス・フォア・インダストリ教育研究拠点」 2013年
 14   Shin-Ichiro Ei, Mathematical Analysis for Pattern Formation Problems, A Mathematical Approach to Research Problems of Science and Technology, R. Nishii, S.-I. Ei, M. Koiso, H. Ochiai, K. Okada, S. Saito, T. Shirai\; Editors, Mathematics for Industry 5, Springer 2014, 133-139.
 15  反応拡散方程式系におけるパルスの挙動, 日本数理生物学会ニュースレター No.55, May 2008, 1-4.
 16  ２次元領域におけるスポット解の運動について, フォーラム, 応用数理 vol. 24 No. 1, March 2014, 34-36.
参考図書(順不同)
食うものと食われるものの数学, 山口 昌哉, 筑摩書房 1985.
界面ダイナミクスの数理, 太田 隆夫, 日本評論社
非線形科学, 吉川 研一, 学会出版センター
非線形問題 1, 西浦 廉政, 岩波講座現代数学の展開, 岩波書店