TAKAGI Izumi

J-GLOBAL         Last updated: Feb 16, 2018 at 19:42
 
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Name
TAKAGI Izumi
URL
http://morpho.sci.tohoku.ac.jp/~morpho/
Affiliation
Tohoku University
Section
Institute for Excellence in Higher Education Institute of Liberal Arts and Sciences
Job title
Professor
Degree
理学博士(Tohoku University), 理学修士(Tohoku University)

Research Areas

 
 

Committee Memberships

 
Jun 2012
 - 
Today
公益財団法人アジア生命保険振興センター  理事
 
Apr 2000
 - 
Today
仙台数学セミナー組織委員会  組織委員
 
Apr 2000
 - 
Today
Funkcialaj Ekvacioj 編集委員会  編集委員
 
Apr 2000
 - 
Today
財団法人川井数理科学財団  常務理事
 
Apr 2000
 - 
Mar 2013
東北数学雑誌編集委員会  編集委員
 

Published Papers

 
Locating the peaks of least-energy solutions to a semilinear Neumann problem
TAKAGI Izumi, et al.
Duke Mathematical Journal   70(2) 247-281   1993   [Refereed]
On the shape of least-energy solutions to a semilinear Neumann problem
TAKAGI Izumi
Communications on Pure and Applied Mathematics   44    1991   [Refereed]
Wei-Ming Ni, Kanako Suzuki and Izumi Takagi
Jornal of Differential Equations   229 426-465   Oct 2006   [Refereed]
Pattern formation in a diffusion-ODE model with hysteresis
Anna Marciniak-Czochra, Madoka Nakayama, Izumi Takagi
Differential and Integral Equations   28(7-8) 655-694   2015   [Refereed]
Kanako Suzuki, Izumi Takagi
Functional Equations   54 237-274   Aug 2011   [Refereed]
Global bifurcation structure on a shadow system with a source term--representaion of all solutions
Takaichi, Hideaki; Takagi, Izumi; Yotsutani, Shoji
Discrete Contin. Dyn. Syst. 2011, Dynamical systems, differential equations and applications. 8th AIMS Conference. Suppl. Vol II   Suppl 1344-1350   2011   [Refereed]
Collapse of patterns and effect of basic production terms in some reaction-diffusion systems
Kanako Suzuki and Izumi Takagi
Mathematical Sciences and Applications. Current Advances in Nonlinear Analysis and Related Topics   32 163-187   Feb 2010   [Invited]
Behavior of solutions to an activator-inhibitor system with basic production terms
Kanako Suzuki, Izumi Takagi
Proceedings of the Czech-Japanese Seminar in Applied Mathematics 2008 held at Takachiho/University of Miyazaki, Miyazaki, Japan, September 1-7, 2008   49-59   Feb 2009   [Refereed]
Representation formula for the critical points of the Tadjbakhsh-Odeh functional and its application
Kohtaro Watanabe, Izumi Takagi
Japan Journal of Industrial and Applied Mathematics   25 331-372   Dec 2008   [Refereed]
Global solutions to a one-dimensional nonlinear parabolic system modeling colonial formation by chemotactic bacteria
Khin Phyu Phyu Htoo, Masayasu Mimura, Izumi Takagi
Advanced Studies in Pure Mathematics, Asymptotic Analysis and Singularities   47(2) 613-622   Oct 2007   [Refereed]
Determination of the limit sets of trajectories of the Gierer-Meinhardt system without diffusion
Wei-Ming Ni, Kanako Suzuki, Izumi Takagi
Advanced Studies in Pure Mathematics, Asymptotic Analysis and Singularities   47(2) 689-708   Oct 2007   [Refereed]
On the role of the source terms in an activator-inhibitor system proposed by Gierer-Meinhardt
Kanako Suzuki, Izumi Takagi
Advanced Studies in Pure Mathematics, Asymptotic Analysis and Singularities   42 749-766   Oct 2007   [Refereed]
Takeyuki Nagasawa and Izumi Takagi
Calculus of Variations and Partial Differential Equations   16(1) 2003-63-111   Jan 2003   [Refereed]
Stability of least energy patterns of the shadow system for an activator-inhibitor model
Wei-Ming Ni, Izumi Takagi, and Eiji Yanagida
Japan Journal of Industrial and Applied Mathematics   18 259-272   Jun 2001   [Refereed]
Chang-Shou Lin and Izumi Takagi
Calculus of Variations and Partial Differential Equations   13(4) 519-536   Apr 2001   [Refereed]
Closed surfaces minimizing the bending energy under prescribed area and volume
Takeyuki Nagasawa and Izumi Takagi
Equadiff 99: Proceedings of the International Conference on Differential Equations   Vol 1 561-563   Jan 2000   [Refereed]
On the location and profile of spike-layer solutions to a singularly perturbed semilinear Dirichlet problem: intermediate solutions
Wei-Ming Ni, Izumi Takagi, Juncheng Wei
Duke Mathematical Journal   94(3) 597-618   Jul 1998   [Refereed]
Spiky patterns and their stability in a reaction-diffusion system
Izumi Takagi
Proceedings of the Korea-Japan Partial Differential Equatios Conference (Taejon, 1996)      Oct 1997
Singular behavior of least-energy solutions of a semilinear Neumann problem involving critical Sobolev exponents
TAKAGI Izumi
Duke Mathematical Journal   67(1)    1992   [Refereed]
Large amplitude stationary solutions to a chemotaxis system
C.-S. Lin, W.-M. Ni and Izumi Takagi
Journal of Differential Equations   72    1988   [Refereed]
On the Neumann problem for some semilinear elliptic equations and systems of activator-inhibitor type
TAKAGI Izumi
Transactions of the American Mathematical Society   297(1)    1986   [Refereed]
Point-condensation for a reaction-diffusion system
TAKAGI Izumi
Journal of Differential Equations   61    1986   [Refereed]
Stability of bifurcating solutions of the Gierer-Meinhardt system
TAKAGI Izumi
Tohoku Mathematical Journal   31    1979   [Refereed]

Misc

 
Equations of Pattern Formation
Izumi Takagi
Mathematical Sciences   49(3) 67-74   Feb 2011

Books etc

 
爆発と凝集
高木 泉(編者:柳田英二) (Part:Joint Work, 第2章(反応拡散系に現れる点凝集現象)51頁〜98頁)
東京大学出版会   Jan 2006   

Conference Activities & Talks

 
Pattern formation in a reaction-diffusion system controlled by spatial heterogeneity
Variational Problems and Nonlinear Partial Differential Equations, 2016   23 Mar 2016   
Role of mathematical models in developmental biology
HeKKSaGOn Winter School 2016, Kyoto--From Materials to Life: Multidisciplinary Challenges--   15 Feb 2016   
受容体・結合子反応モデルについての一考察
Turing 機構に関連するパターンとダイナミクス   19 Dec 2015   
Reaction-diffusion system as pattern generator and applications to finger print patterns
Kolloquium, Georg-August Universitat Gottingen   13 Nov 2015   
Role of spatial heterogeneity in reaction-diffusion system modeling biological pattern formation
Seminar, Scuola Normale Superiore   5 Nov 2015   

Research Grants & Projects

 
Analysis of reaction-diffusion systems of activator-inhibitor type
Project Year: Sep 1984 - Today
Bifurcation analysis of differential geometric models of red blood cells
Project Year: Aug 1992 - Today

Social Contribution

 
仙台数学セミナー
[Others]  Aug 2000 - Today
東北地区の高校生20名を対象に合宿形式で数学の講義・セミナーをする.
現代数学講演会
[Others]  6 Dec 2007
川井数理科学財団主催の講師派遣事業「現代数学講演会」の一環として,宮城県第一女子校等学校において理数科2年生を対象に「生物の形づくりの数理」と題した講演を行った
宮城県仙台第二高等学校「一日大学」
[Others]  27 Oct 2005
出張講義「数学が社会において果たす役割」