Zobrazeno 1 - 10
of 16
pro vyhledávání: '"Etsushi Nakaguchi"'
Publikováno v:
Japan Journal of Industrial and Applied Mathematics. 37:49-80
We study the asymptotic behavior of solutions to a chemotaxis system with indirect signal production presented by Deneubourg (Insectes Sociaux 24:117–130, 1977): $$\begin{aligned} \left\{ \begin{array}{ll} \;\; u_t = \varDelta \; u - \chi \nabla \c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::698bc7610fb4adef7e1b780f5a61c43f
https://doi.org/10.1007/s13160-019-00376-0
https://doi.org/10.1007/s13160-019-00376-0
Autor:
Etsushi Nakaguchi, Koichi Osaki
Publikováno v:
Funkcialaj Ekvacioj. 59:51-66
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cf0e61194e9cc363f5ec2314bc511f1b
https://doi.org/10.1619/fesi.59.51
https://doi.org/10.1619/fesi.59.51
Autor:
Koichi Osaki, Etsushi Nakaguchi
Publikováno v:
Discrete & Continuous Dynamical Systems - B. 18:2627-2646
We construct the global bounded solutions and the attractors of a parabolic-parabolic chemotaxis-growth system in two- and three-dimensional smooth bounded domains. We derive new $L_p$ and $H^2$ uniform estimates for these solutions. We then construc
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ba10aed61710f18bd39160b0cc2e6be1
https://doi.org/10.3934/dcdsb.2013.18.2627
https://doi.org/10.3934/dcdsb.2013.18.2627
Autor:
Koichi Osaki, Etsushi Nakaguchi
Publikováno v:
Nonlinear Analysis: Theory, Methods & Applications. 74:286-297
We study the global existence of solutions to a parabolic–parabolic system for chemotaxis with a logistic source in a two-dimensional domain, where the degradation order of the logistic source is weaker than quadratic. We introduce nonlinear produc
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a8f721e5c89a51df7ffe6498d8adc786
https://doi.org/10.1016/j.na.2010.08.044
https://doi.org/10.1016/j.na.2010.08.044
Publikováno v:
Journal of Mathematical Analysis and Applications. 358(1):136-147
In this paper we continue systematic study of the dimension estimate of the global attractors for the chemotaxis–growth system and its finite-element approximations. Utilizing a conservative upwind finite-element scheme we managed significantly to
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8e71530225b697238feaac237eea8f80
Publikováno v:
Glasgow Mathematical Journal. 50:483-497
In this paper, we study an upper bound of the fractal dimension of the exponential attractor for the chemotaxis–growth system in a two-dimensional domain. We apply the technique given by Eden, Foias, Nicolaenko and Temam. Our results show that the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::051c93c2beb77dcbb5b94352d1bb6d14
https://doi.org/10.1017/s0017089508004357
https://doi.org/10.1017/s0017089508004357
Autor:
Etsushi Nakaguchi, Atsushi Yagi
Publikováno v:
Journal of Computational and Applied Mathematics. 159(1):91-99
We study the Galerkin Euler approximations of semilinear evolution equations of parabolic type. We utilize both the semigroup method and the variational method to construct approximate solutions and estimate errors.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::712b320d0b5aa52d47c34f662d31ffe9
Autor:
Etsushi Nakaguchi, Atsushi Yagi
Publikováno v:
Nonlinear Analysis: Theory, Methods & Applications. 47:6097-6107
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::80453ac2a4d568f14b702199b4f34eb2
https://doi.org/10.1016/s0362-546x(01)00685-x
https://doi.org/10.1016/s0362-546x(01)00685-x
Autor:
Etsushi Nakaguchi, Atsushi Yagi
Publikováno v:
Japanese Journal of Mathematics. 25(1):181-226
Nakaguchi E., Yagi A. Error estimates of implicit Runge-Kutta methods for quasilinear abstract equations of parabolic type in Banach spaces. Japanese Journal of Mathematics 25, 181 (1999); https://doi.org/10.4099/math1924.25.181.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b16fd12055eeba5669132e2bba42f23a
https://hdl.handle.net/11094/90765
https://hdl.handle.net/11094/90765
Autor:
Naoki Wakamiya, Etsushi Nakaguchi, Masayuki Murata, Yuki Kubo, Kentaro Yanagihara, Katsuya Hyodo
Publikováno v:
WOWMOM
Taking into account requirements of sensor networks, we need fully-distributed and self-organizing control mechanisms which are scalable to the size of a network, robust to failures of sensor nodes, and adaptive to different and dynamically changing
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f7ea2d8e1aba4a9d019a9b3a1709b817
https://doi.org/10.1109/wowmom.2007.4351795
https://doi.org/10.1109/wowmom.2007.4351795