Back to:   [Japanese home]   [English home]   [German home]

Etsushi Nakaguchi : Publications (in date-descending order)

Last updated: 17 Mar. 2022.

Journal Articles

  1. Etsushi Nakaguchi, Kanako Noda, Koichi Osaki and Kenta Uemichi,
    Global attractor for a two-dimensional chemotaxis system with linear degradation and indirect signal production,
    Japan J. Indust. Appl. Math. vol.37 No.1 (Jan. 2020) pp.49-80.
    doi:10.1007/s13160-019-00376-0
  2. Etsushi Nakaguchi and Koichi Osaki,
    Global existence of solutions to an $n$-dimensional parabolic-parabolic system for chemotaxis with logistic-type growth and superlinear production,
    Osaka J. Math. vol.55 no.1 (Jan. 2018) pp.51-70. MR3744975
    Project Euclid: euclid.ojm/1515661216
  3. Etsushi Nakaguchi and Koichi Osaki,
    $L_p$-estimates of solutions to $n$-dimensional parabolic-parabolic system for chemotaxis with subquadratic degradation,
    Funkcialaj Ekvacioj vol.59 no.1 (Apr. 2016) pp.51-66. MR3524607
    doi:10.1619/fesi.59.51
  4. Etsushi Nakaguchi and Koichi Osaki,
    Global solutions and exponential attractors of a parabolic-parabolic system for chemotaxis with subquadratic degradation,
    Discrete Contin. Dyn. Syst. B vol.18 no.10 (Dec. 2013) pp.2627-2646. MR3124755
    doi:10.3934/dcdsb.2013.18.2627
  5. Etsushi Nakaguchi, Hirokazu Inui and Kohzaburo Ohnaka,
    An algebraic reconstruction of a moving point source for scalar wave equation,
    Inverse Problems vol.28 no.6 (Jun. 2012) 065018. MR2929618
    doi:10.1088/0266-5611/28/6/065018
  6. Etsushi Nakaguchi and Koichi Osaki,
    Global existence of solutions to a parabolic-parabolic system for chemotaxis with weak degradation,
    Nonlinear Anal. TMA vol.74, no.1 (Jan. 2011) pp.286-297. MR2734997 (2011j:35105)
    doi:10.1016/j.na.2010.08.044
  7. Katsuya Hyodo, Naoki Wakamiya, Etsushi Nakaguchi, Masayuki Murata, Yuki Kubo, Kentaro Yanagihara,
    Reaction-diffusion based autonomous control of wireless sensor networks,
    International Journal of Sensor Networks vol.7, no.4 (???. 2010) pp.189-198.
    doi:10.1504/IJSNET.2010.033202
  8. Etsushi Nakaguchi,
    Attractor dimension and numerical analysis of a chemotaxis-growth system,
    Int. J. Biomath. Biostat. vol.1, no.1 (Jun. 2010) pp.83-91.
    Journal website
  9. Messoud Efendiev, Etsushi Nakaguchi and Wolfgang L.Wendland,
    Dimension estimate of the global attractor for a semi-discretized chemotaxis-growth system by conservative upwind finite-element scheme,
    J. Math. Anal. Appl. vol.358, no.1 (Oct. 2009) pp.136-147. MR2527587 (2010h:65152)
    doi:10.1016/j.jmaa.2009.04.025
  10. Messoud Efendiev, Etsushi Nakaguchi and Koichi Osaki,
    Dimension estimate of the exponential attractor for the chemotaxis-growth system,
    Glasgow Math.J. vol.50, no.3 (Sep. 2008) pp.483-497. MR2451744 (2009m:37228)
    doi:10.1017/S0017089508004357
  11. Etsushi Nakaguchi and Messoud Efendiev,
    On a new dimension estimate of the global attractor for chemotaxis-growth systems,
    Osaka J. Math. vol.45, no.2 (June 2008) pp.273-281. MR2441941 (2009g:35122)
    Project Euclid: euclid.ojm/1216151100
  12. Messoud Efendiev and Etsushi Nakaguchi,
    Upper and lower estimate of dimension of the global attractor for the chemotaxis-growth system II: two-dimensional case,
    Adv. Math. Sci. Appl. vol.16, no.2 (Oct. 2006) pp.581-590. MR2356291 (2008j:37165)
  13. Messoud Efendiev and Etsushi Nakaguchi,
    Upper and lower estimate of dimension of the global attractor for the chemotaxis-growth system: Part I,
    Adv. Math. Sci. Appl. vol.16, no.2 (Oct. 2006), pp.569-579. MR2356290 (2008j:37164)
  14. T.Nakamura, N.Mine, E.Nakaguchi, A.Mochizuki, M.Yamamoto, K.Yashiro, C.Meno and H.Hamada,
    Generation of robust left-right asymmetry in the mouse embryo requires a self-enhancement and lateral-inhibition system,
    Developmental Cell vol.11, no.4 (Oct. 2006), pp.495--504.
    doi:10.1016/j.devcel.2006.08.002
  15. Etsushi Nakaguchi and Atsushi Yagi,
    Numerical analysis for semilinear evolution equations of parabolic type,
    J. Comp. Appl. Math. vol.159, no.1 (Oct. 2003), pp.91--99.
    doi:10.1016/S0377-0427(03)00567-3
  16. Etsushi Nakaguchi and Atsushi Yagi,
    Fully discrete approximation by Galerkin Runge-Kutta methods for quasilinear parabolic systems,
    Hokkaido Math. J. vol.31, no.2 (Jun. 2002), pp.385--429. MR1914967 (2003g:35111)
    doi:10.14492/hokmj/1350911871
  17. Etsushi Nakaguchi and Atsushi Yagi,
    Full discrete approximations by Galerkin method for chemotaxis-growth model,
    Nonlinear Anal.TMA vol.47, no.9 (Sep. 2001), pp.6097--6107. MR1970781 (2004c:65114)
    doi:10.1016/S0362-546X(01)00685-X
  18. Etsushi Nakaguchi and Atsushi Yagi,
    Full discrete approximation for abstract quasilinear parabolic equations,
    Math. Japon. vol.50, no.1 (Jul. 1999), pp.25--34. MR1709821 (2000g:65084)
  19. Etsushi Nakaguchi and Atsushi Yagi,
    Error estimates of implicit Runge-Kutta methods for quasilinear abstract equations of parabolic type in Banach spaces,
    Japan J. Math. vol.25, no.1 (Jun. 1999), pp.181--226. MR1698356 (2000d:65164)
    J-STAGE
  20. Etsushi Nakaguchi, Seiji Saito and Atsushi Yagi,
    Exponential decay of solutions of linear evolution equations in a Banach space,
    Math. Japon. vol.44, no.3 (Nov. 1996), pp.469--481. MR1422152 (97j:34079)

Institute Bulletin Papers

  1. Etsushi Nakaguchi,
    Global-in-time solutions to a parabolic-parabolic system for chemotaxis with weak degradation and production terms,
    Journal of The College of Liberal Arts and Sciences Tokyo Medical and Dental University no.52 (Mar. 2022), pp.7--24 (in Japanese).
    J-Stage
  2. K. Noda, K. Uemichi, E. Nakaguchi and K. Osaki,
    A Lyapunov function for constant equilibria to the Deneubourg chemotaxis system,
    RIMS Kokyuroku, Kyoto University no.2087 (Aug. 2018), pp.122--130.
    Kyoto University Research Information Repository
  3. Koichi Osaki and Etsushi Nakaguchi,
    Global existence of solutions to a parabolic-parabolic chemotaxis system with subquadratic growth,
    RIMS Kokyuroku, Kyoto University no.1984 (Feb. 2016), pp.1--8.
    Kyoto University Research Information Repository
  4. Etsushi Nakaguchi,
    A PDE model for layer process of collagen molecules in regenerating fish scales,
    RIMS Kokyuroku, Kyoto University no.1937 (Apr. 2015), pp.120--127 (in Japanese).
    Kyoto University Research Information Repository
  5. Etsushi Nakaguchi,
    Dimension estimate of global attractors for a chemotaxis-growth system and its discretizations,
    RIMS Kokyuroku, Kyoto University no.1693 (Jun. 2010), pp.143--150.
    Kyoto University Research Information Repository
  6. Etsushi Nakaguchi,
    Oscillating patterns appearing in finite difference calculation of reaction-diffusion equations,
    RIMS Kokyuroku, Kyoto University no.1597 (May 2008), pp.10--14 (in Japanese).
    Kyoto University Research Information Repository

Proceedings of International Conferences

  1. Etsushi Nakaguchi, Messoud Efendiev and Wolfgang L.Wendland,
    Comparison of approximation schemes for chemotaxis-growth system via dimensions of global attractors
    Proceedings of International Conference on Nonlinear Phenomena with Energy Dissipation: Mathematical Analysis, Modelling and Simulation, GAKUTO International Series Mathematical Sciences and Applications vol.29, Gakkotosho, Tokyo, Aug.2008, pp.305-312. ISBN:978-4-7625-0438-9. MR2509564 (2010h:37186)
  2. Messoud Efendiev, Etsushi Nakaguchi and Wolfgang L.Wendland,
    Uniform estimate of dimension of the global attractor for a semi-discretized chemotaxis-growth system,
    Dynamical systems and differential equations. Proceedings of the 6th AIMS International Conference (Discrete Conti. Dyn. Sys. Suppl.-2007), Amer.Inst.Math.Sci., Springfield, Sep.2007, pp.334-343. ISBN:978-1-60133-010-9. MR2409228 (2009f:37082)
  3. Etsushi Nakaguchi and Atsushi Yagi,
    Galerkin approximation for abstract quasilinear elliptic equations of positive type in Hilbert spaces
    Proceedings of International Conference on Free Boundary Problems Theory and Applications I, GAKUTO International Series Mathematical Sciences and Applications vol.13, Gakkotosho, Tokyo, Mar.2000, pp.190-197. ISBN:476250422X. MR1793034(2001j:65170)

Back to:   [Japanese home]   [English home]   [German home]

Postal addressFCollege of Liberal Arts and Sciences, Tokyo Medical and Dental University, 2-8-30 Kohnodai, Ichikawa, Chiba 272-0827 Japan.
E-mail address: nakaguti.las@tmd.ac.jp