EI Shin-Ichiro

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Name
EI Shin-Ichiro
Affiliation
Hokkaido University
Section
Faculty of Science
Job title
Professor
Degree
(BLANK), (BLANK)

Research Interests

 
 

Research Areas

 
 

Education

 
 
 - 
1987
Graduate School, Division of Natural Science, Hiroshima University
 
 
 - 
1982
Faculty of Science, Kyoto University
 

Published Papers

 
Chao-Nien Chen, Shin-Ichiro Ei,Shyuh-yaur Tzeng
PHYSICA D-NONLINEAR PHENOMENA      Jul 2018   [Refereed]
Ei Shin-Ichiro, Kitahata Hiroyuki, Koyano Yuki, Nagayama Masaharu
PHYSICA D-NONLINEAR PHENOMENA   366 10-26   Mar 2018   [Refereed]
JAK/STAT guarantees robust differentiation of neural stem cells by shutting off biological noises in the developing fly brain
Sato Makoto, Yasugi Tetsuo, Tanaka Yoshitaro, Nagayama Masaharu, Ei Shin-Ichiro
CYTOKINE   100 127   Dec 2017   [Refereed]
Sasaki D, Nakajima H, Yamaguchi Y, Yokokawa R, Ei SI, Miura T
Journal of theoretical biology   429 95-104   Sep 2017   [Refereed]
S.-I. Ei, K. Ikeda, M. Nagayama and A. Tomoeda
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS   8(5) 847-856   Oct 2015   [Refereed]
Shin-Ichiro Ei, Kei Nishi, Yasumasa Nishiura and Takashi Teramoto
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS   8(5) 857-869   Oct 2015   [Refereed]
Yanagida, Eiji; Ikeda, Kota; Ei, Shin-Ichiro
Commun. Pure Appl. Anal.   14(2) 717-736   Mar 2015   [Refereed]
Ei Shin-Ichiro, Izuhara Hirofumi, Mimura Masayasu
PHYSICA D-NONLINEAR PHENOMENA   277 1-21   Jun 2014   [Refereed]
APPLICATION OF A CENTER MANIFOLD THEORY TO A REACTION-DIFFUSION SYSTEM OF COLLECTIVE MOTION OF CAMPHOR DISKS AND BOATS
S.-I. Ei, K. Ikeda, M. Nagayama and A. Tomoeda
MATHEMATICA BOHEMICA   139(2) 363-371   2014   [Refereed]
Shin-ichiro Ei,Toshio Ishimoto
NHM   8(1) 191-209   Mar 2013   [Refereed]
EI Shin-Ichiro, Ishimoto.T
Japan. J. Ind. Appl. Math.   (30) 69-90   2013   [Refereed]
Ei Shin-Ichiro, Ishimoto Toshio
JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS   30(1) 69-90   2013   [Refereed]
Ei Shin-Ichiro, Izuhara Hirofumi, Mimura Masayasu
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B   17(6) 1859-1887   Sep 2012   [Refereed]
Ei Shin-Ichiro, Ikeda Kota, Miyamoto Yasuhito
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS   11(1) 115-145   Jan 2012   [Refereed]
Dynamics of pulses on a thin strip-like domain in
EI Shin-Ichiro
RIMS Kokyuroku Bessatsu   (B31) 195-210   2012   [Refereed]
Infinite dimensional relaxation
S.-I. Ei, H. Izuhara , M. Mimura
RIMS Kokyuroku Bessatsu   (B35) 31-40   2012   [Refereed]
The functional roles of time delay on exible phase-locking in Bipedal
Wulin Weng, Shin-Ichiro Ei and Kunishige Ohgane
Journal of Math-for-Industry   4 123-133   2012   [Refereed]
Shin-Ichiro Ei , Kunishige Ohgane
Kyushu J. Mathematics   65(2) 197-217   2011   [Refereed]
Chen Chao-Nien, Ei Shin-Ichiro, Lin Ya-Ping, Kung Shih-Yin
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS   36(6) 998-1015   2011   [Refereed]
Ikeda Hideo, Ei Shin-Ichiro
PHYSICA D-NONLINEAR PHENOMENA   239(17) 1637-1649   Sep 2010   [Refereed]
Ei Shin-Ichiro, Matsuzawa Hiroshi
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS   26(3) 901-921   Mar 2010   [Refereed]
Chao-Nien Chen,Shin-ichiro Ei,Ya-Ping Lin
SIAM Journal of Applied Mathematics   70(7/8) 2822-2843   2010   [Refereed]
Xinfu Chen,Shin-ichiro Ei,Masayasu Mimura
NHM   4(1) 1-18   Mar 2009   [Refereed]
Ohgane Kunishige, Ei Shin-Ichiro, Mahara Hitoshi
APPLIED MATHEMATICAL MODELLING   33(2) 797-811   Feb 2009   [Refereed]
Shin-ichiro Ei,Tohru Tsujikawa
Kybernetika   45(4) 625-633   2009   [Refereed]
Eigenfunctions of the adjoint operator associated with a pulse solution of some reaction-diffusion systems
S.-I. Ei, H. Ikeda, K. Ikeda and E. Yanagida
Bull. Inst. Math. Academia Sinica   3 603-666   2008   [Refereed]
S.-I. Ei, M. Kuwamura, Y. Morita
PHYSICA D-NONLINEAR PHENOMENA   (207) 171-219   2007   [Refereed]
Reinitialization in bipedal locomoter control
K. Ohgane and S.-I. Ei
RIMS Kokyuroku Bessatsu   (B3) 207-230   2007   [Refereed]
Ohgane A, Ohgane K, Ei S, Mahara H, Ohtsuki T
Biological cybernetics   93(6) 426-435   Dec 2005   [Refereed]
Ohgane K, Ei S, Kazutoshi K, Ohtsuki T
Biological cybernetics   90(2) 125-132   Feb 2004   [Refereed]
Dynamics of metastable localized patterns and its application to the interaction of spike solutions for the Gierer-Meinhardt systems in two spatial dimension
S.-I. Ei , J. Wei
Japan J. Ind. Appl. Math.   19(2) 181-226   2002   [Refereed]
2^n-splitting or Edge-splitting
S.-I. Ei, Y. Nishiura, K. Ueda
Japan J. Ind. Appl. Math.   18(2) 181-205   2001   [Refereed]
Segregating pattern problem in competition-diffusion systems
S.-I. Ei, R. Ikota, M. Mimura
Annals of Physics   (280) 236-298   2000   [Refereed]
Singular perturbation problems to a combustion equation in very long cylindrical domains
M. Mimura, K. Sakamoto, S.-I. Ei
AMS/IP Studies in Advanced Math.   3 75-84   1997   [Refereed]
Pattern formation in heterogeneous reaction-diffusion- advection systems with an application to population dynamics
S.-I. Ei ,M. Mimura
SIAM J. Math. Anal.   21(346) 361   1990   [Refereed]
Phase separation in an activator-inhibitor medium
M. Mimura, S.-I. Ei, M. Kuwamura
Forma 4   65-73   1989   [Refereed]
The effect of non-local convection on reaction-diffusion equations
EI Shin-Ichiro
Hiroshima Math. J.   17 281-307   1987   [Refereed]
Transient and large time behavors of solutions to heterogeneous reaction-diffusion equations
S.-I. Ei, M. Mimura
Hiroshima Math. J.   14 649-678   1984   [Refereed]

Misc

 
Chao Nien Chen, Shin Ichiro Ei, Shin Ichiro Ei, Shyuh yaur Tzeng
Physica D: Nonlinear Phenomena      Jan 2018
© 2018 Elsevier B.V. Particle like structures have been observed in many fields of science. In a homogeneous medium, a stable, standing pulse is a localized wave that may arise when nonlinear and dissipative effects are in balance. In this paper, ...
田中吉太郎, 八杉徹雄, 佐藤純, 栄伸一郎
日本応用数理学会年会講演予稿集(CD-ROM)   2017 43‐44   Sep 2017
田中吉太郎, 八杉徹雄, 佐藤純, 長山雅晴, 栄伸一郎
計算工学講演会論文集(CD-ROM)   22 ROMBUNNO.D‐05‐5   May 2017
田中 吉太郎, 八杉 徹雄, 佐藤 純, 長山 雅晴, 栄 伸一郎
計算工学講演会論文集 Proceedings of the Conference on Computational Engineering and Science   22    May 2017
栄伸一郎
白石記念講座   67th 29-42   Nov 2015
栄伸一郎
電子情報通信学会誌   98(11) 961-966   Nov 2015
栄 伸一郎
電子情報通信学会誌 = The journal of the Institute of Electronics, Information and Communication Engineers   98(11) 961-966   Nov 2015
栄伸一郎
応用数理   24(1) 34-36   Mar 2014
栄 伸一郎
応用数理   24(1) 34-36   Mar 2014
Weng Wulin, Ei Shin-Ichiro, Ohgane Kunishige, Ogane Kunishige
Journal of Math-for-Industry (JMI)   4(0) 123-133   Oct 2012
Based on neurophysiological studies, a walking model has been proposed, which is the coupling of two oscillatory systems, i.e., a central pattern generator (CPG) and a musculoskeletal system (Body). The walking model can well reproduce human walki...
Weng Wulin, Ei Shin-Ichiro, Ohgane Kunishige
JMI : journal of math-for-industry   4 123-133   2012
Ei Shin-Ichiro, Ohgane Kunishige, 栄 伸一郎, 大金 邦成
Kyushu Journal of Mathematics   65(2) 197-217   Sep 2011
We develop a systematic method for deriving the phase dynamics of perturbed periodic solutions. The method is to regard periodic solutions as slowly modulated traveling solutions on the circle. There, problems are reduced to the perturbed problems...
Ei Shin-Ichiro, Nishiura Yasumasa, Ueda Kei-Ichi
JMI   1 91-95   2009
The dynamics of a pulse for reaction-diffusion systems in 1D is considered in the neighborhood of the bifurcation point with codimension two, at which both of saddle-node and drift bifurcations occur at the same time. It is theoretically shown tha...
栄伸一郎
日本物理学会講演概要集   63(1) 302   Feb 2008
Ei Shin-Ichiro
Meeting abstracts of the Physical Society of Japan   63(1)    Feb 2008
EI Shin-Ichiro, IKEDA Hideo, KAWANA Takeyuki
Japan journal of industrial and applied mathematics   25(1) 117-147   Feb 2008
Shin Ichiro Ei, Hideo Ikeda, Takeyuki Kawana
Japan Journal of Industrial and Applied Mathematics   25 117-147   Jan 2008
In this paper, two component reaction-diffusion systems with a specific bistable nonlinearity are concerned. The systems have the bifurcation structure of pitch-fork type of traveling front solutions with opposite velocities, which is rigorously p...
S. I. Ei, M. Mimura, M. Nagayama
Discrete and Continuous Dynamical Systems   14 31-62   Jan 2006
This paper is concerned with the dynamics of travelling spot solutions in two dimensions. Travelling spot solutions are constructed under the bifurcation structure with Jordan block type degeneracy. It is shown that if the velocity is very slow, s...
OHGANE Kunishige, OHGANE Akane, MAHARA Hitoshi, EI Shin-ichiro
形の科学会誌 = Bulletin of the Society for Science on Form   20(2) 169-170   Nov 2005
Shin Ichiro Ei, Masataka Kuwamura, Yoshihisa Morita
Physica D: Nonlinear Phenomena   207 171-219   Aug 2005
In this paper singular perturbation problems in reaction-diffusion systems are studied from a viewpoint of variational principle. The goal of the study is to provide an unified and transparent framework to understand existence, stability and dynam...
Ei Shin-ichiro
Bulletin of the Japan Society for Industrial and applied Mathematics   14(1) 35-47   Mar 2004
EI Shin-ichiro
盛岡応用数学小研究集会報告集   2003 5-10   Jan 2004
Reaction-dffusion systems in an infinitely long strip-like domain with finite width in 2D are treated.We construct the solution connecting different types of stationary solutions at infinity by considering the neighborhood of Turing instability.We...
栄 伸一郎
数理解析研究所講究録   1313 149-158   Apr 2003
栄伸一郎
横浜市立大学論叢 自然科学系列   53(3) 119-134   Oct 2002
S. I. Ei, M. Mimura, M. Nagayama
Physica D: Nonlinear Phenomena   165 176-198   May 2002
It had been long believed that one-dimensional travelling pulses and the corresponding two-dimensional expanding rings and spiral waves arising in excitable reaction-diffusion systems annihilate when they closely approach one another. However, rec...
Shin Ichiro Ei, Juncheng Wei
Japan Journal of Industrial and Applied Mathematics   19 181-226   Jan 2002
In this paper, the Gierer-Meinhardt model systems with finite diffusion constants in the whole space R2is considered. We give a regorous proof on the existence and the stability of a single spike solution, and by using such informations, the repul...
Shin Ichiro Ei
Journal of Dynamics and Differential Equations   14 85-137   Jan 2002
The interaction of stable pulse solutions on R1is considered when distances between pulses are sufficiently large. We construct an attractive local invariant manifold giving the dynamics of interacting pulses in a mathematically rigorous way. The ...
EI Shin-ichiro, NISHIURA Yasumasa, UEDA Kei-ichi
Japan J. Indust. Appl. Math.   18(2) 181-205   Jun 2001
Shin Ichiro Ei, Yasumasa Nishiura, Yasumasa Nishiura, Kei Ichi Ueda
Japan Journal of Industrial and Applied Mathematics   18 181-205   Jan 2001
Since early 90's, much attention has been paid to dynamic dissipative patterns in laboratories, especially, self-replicating pattern (SRP) is one of the most exotic phenomena. Employing model system such as the Gray-Scott model, it is confirmed al...
Shin Ichiro Ei, Kazuyuki Fujii, Teiji Kunihiro
Annals of Physics   280 236-298   Mar 2000
The renormalization group (RG) method as a powerful tool for reduction of evolution equations is formulated in terms of the notion of invariant manifolds. We start with derivation of an exact RG equation which is analogous to the Wilsonian RG equa...
Shin Ichiro Ei, Ryo Ikota, Masayasu Mimura
Interfaces and Free Boundaries   1 57-80   Jan 1999
© Oxford University Press 1999. We consider a reaction-diffusion system to describe the interaction of three competing species which move by diffusion in R2, under the situation where all of the diffusion rates are small and all of the inter-speci...
Segregating pattern problem in competition-diffusion systems
J. Interfaces and Free Boundaries   1 57-80   1999
Ei Shin-Ichiro, Eiji Yanagida
SIAM Journal on Mathematical Analysis   29 555-595   May 1998
The dynamics of interfaces in the Allen-Cahn equation is studied. If a domain in R2 has constant width along a smooth curve, it is called a strip-like domain. We derive an equation which describes the motion of a straight interface intersecting th...
Slow dynamics of in terfaces in the Allen-Cahn eguation on a strip-like domain
SIAM J. Math. Anal.   (29) 3,555   1998
EI SHIN'ICHIRO
数理科学   35(11) 23-29   Nov 1997
EI Shin-Ichiro, IIDA Masato, YANAGIDA Eiji
Japan journal of industrial and applied mathematics   14(1) 1-23   Feb 1997
Shin Ichiro Ei, Masato Iida, Eiji Yanagida
Japan Journal of Industrial and Applied Mathematics   14 1-23   Jan 1997
Consider the equation ut= ε2div(D(x)∇u) + f(u;ε) in ℝn, where D(x) is a positive function of x ∈ ℝn, f is the derivative of a bistable potential, and ε > 0 is a small parameter. Let Γ(T), T ∈ [0,T0], be a one-parameter family of smooth hypersurfac...
Dynamics of Interfaces in a Scalar Parabolic equation with Variable coefficients
Japan J. Indust. and Appl. Math.   14(1) 1   1997
S. I. Ei, M. H. Sato, E. Yanagida
American J. Math.   118(3) 653-687   Jun 1996
The dynamics of a moving hypersurface in a domain D C ℝN is studied. It is assumed that the hypersurface moves depending on its curvature, normal vector and position with the boundary that intersects ∂D with a constant contact angle. A stability c...
Shin Ichiro Ei, Eiji Yanagida
Journal of Dynamics and Differential Equations   7 423-435   Jul 1995
A study is made for equations of evolving curves on a two-dimensional square domain Ω. It is assumed that a curve moves depending on its curvature, normal vector, and position and is orthogonal to ∂Ω at its end points. Under some conditions, insta...
EI SHIN'ICHIRO
横浜市立大学論叢 自然科学系列   46(2) 45-64   Mar 1995
Ei Shin-Ichiro, Ohta Takao
Bussei Kenkyu   63(5) 628-634   Feb 1995
この論文は国立情報学研究所の電子図書館事業により電子化されました。
Instability of stationary solutions for equations of curvature-driven motion of curve
Journal of Dynamics aed Differential Equations   7(3) 423   1995
EI S‐I, OHTA T
Physical Review E   50(6) 4672-4678   Jan 1994
We develop a systematic method of deriving the equation of motion for interacting fronts or pulses in one dimension. The theory is applicable to both dissipative and dispersive systems. In the case of the time-dependent Ginzburg-Landau equation, w...
EI S‐I, YANAGIDA E
SIAM J. Appl. Math.   54(5) 1355-1373   Jan 1994
This paper is concerned with the dynamics of interfaces in the Lotka-Volterra competition-diffusion system ut= ε2Δu+u(1-u-cw), wt= ε2DΔw+w(a-bu-w), in Rn, where ε>0 is a small parameter and D>0 is a constant. If 0<1/c<a<b, this system has two loca...
Stability of stationary interfaces in a generalized mean curvature flow
J. Fac. Sci. Univ. Tokyo Sec. IA   40(3) 651   1994
SAKAE SHIN'ICHIRO
応用数学合同研究集会報告集 平成6年   59.1-59.2   1994
Ei Shin-Ichiro, Yanagida Eiji
Journal of The Faculty of Science, The University of Tokyo, Section IA, Mathematics   40(3) 651-661   1993
M. Kuwamura, S. I. Ei, M. Mimura
Japan Journal of Industrial and Applied Mathematics   9 35-77   Feb 1992
We consider a bistable reaction-diffusion equation coupled with a time-dependent constrained condition {Mathematical expression} where γ, δ and ε are positive constants. This equation lies in a framework of activator-inhibitor models which arise i...
Kazutaka Ohara, Kazutaka Ohara, Kazutaka Ohara, Shin Ichiro Ei, Shin Ichiro Ei, Shin Ichiro Ei, Toshitaka Nagai, Toshitaka Nagai, Toshitaka Nagai
Hiroshima Mathematical Journal   22 365-386   Jan 1992
We are concerned with an ecological model described by a nonlinear diffusion equation with a nonlocal convection. The conditions under which stationary solutions exist are investigated. We also discuss the stability problem of stationary solutions...
Shin Ichiro Ei, Masayasu Mimura
Journal of Dynamics and Differential Equations   4 191-229   Jan 1992
Combustion processes are classified into three types depending upon the amount of fuel supply: two of them are the stationary states with either low or high temperatures and the other is the periodic state with relaxation oscillation type. We anal...
M. Mimura, S. I. Ei, Q. Fang
Journal of Mathematical Biology   29 219-237   Jan 1991
We discuss a competition-diffusion system to study coexistence problems of two competing species in a homogeneous environment. In particular, by using invariant manifold theory, effects of domain-shape are considered on this problem. © 1991, Sprin...
Relaxation Oscillations in Clmbustion Models of Thermal Self-Ignition
J. Dynamics and Differrntial Eguations   4(1)    1991
Two-timing methods with applications to nonlinear parabolic equations
EI Shin-Ichiro
   1991
Pattern Formation in Heterogeneous Reaction-Diffusion-Advection System with an Application to Population Dynamics
SIAM J. Mathermatical Analysis   21    1990
S. I. Ei, M. Mimura, S. Takigawa
Japan J. Applied Mathematics   6 223-244   Jun 1989
A size-space distribution model of biological individuals including two effects of density-dependent growth rates for size and chemotactic aggregation for space is proposed. Assuming that the spatial movement is rapid in comparison with the growth...
Two-timing Methods with Applications to Heterogeneous Reaction-Diffusion Systems
Hiroshima Mathematical J.   18    1988
Shin Ichiro Ei, Masayasu Mimura
Hiroshima Mathematical Journal   14 649-678   Jan 1985
We consider initial-boundary value problems for heterogeneous reactiondiffusion equations(formula presented) and study transient and ot ox ox large time behaviors of solutions. Our method is to explicitly construct a twotiming function u(t, ϵt, x)...
Transient and Large Time Behavior of Solutions to Heterogenlous Reaction-Diffusion Eguaions
Hiroshima Mathematical J.   14    1984
Phase dynamics on the modified oscillators in Bipedal locomotion
Wulin Weng, Shin-Ichiro Ei , Kunishige Ohgane

Books etc

 
栄 伸一郎, 川島 秀一, 木村 正人(応用数学), 水町 徹
Mathematical Society of Japan   2015   ISBN:9784864970228
西井 龍映, 栄 伸一郎, 小磯 深幸, 落合 啓之, 岡田 勘三, 斎藤 新悟, 白井 朋之
Springer   2014   ISBN:9784431550594

Conference Activities & Talks

 
Motion of a pulse for mass conserved reaction-diffusion systems related to cell polarity
PDE seminar   14 Nov 2017   
Motion of a Pulse for Mass-conserved Reaction-diffusion Systems Related to Cell Polarity
2017 NCTS Workshop on Partial Differential Equations   28 Jun 2017   
Motion of a pulse for mass conserved reaction-diffusion systems related to cell polarity [Invited]
EI Shin-Ichiro
MIMS The International Conference on “Reaction-diffusion system,theory and applications"   18 Mar 2017   
Motion of pulse solution to a reaction-diffusion system with conservation of mass
EI Shin-Ichiro
Mathematical Analysis on Nonlinear PDEs   7 Jan 2017   
Multi-peak localized solutions for reaction-diffusion systems on two dimensional curved surface [Invited]
EI Shin-Ichiro
The Second Workshop on Differential Geometry and Differential equations   13 Nov 2016   
Effect of boundaries on the motion of a spot solution in a two dimensional domain
EI Shin-Ichiro
Reaction-Diffusion Systems in Mathematics and Biomedecine   22 Sep 2016   
Pulse interaction in modified FitzHugh-Nagumo equations [Invited]
EI Shin-Ichiro
Mathematics of Pattern Formation   15 Sep 2016   
Effect of boundaries on the motion of a spot solution in a two dimensional domain
EI Shin-Ichiro
Joint Australia-Japan workshop on dynamical systems with applications in life sciences   21 Jul 2016   
Pulse dynamics of modified FitzHugh-Nagumo equation
EI Shin-Ichiro
10 Mar 2016   
Pulse dynamics of modified FitzHugh-Nagumo equation
EI Shin-Ichiro
2015 NCTS Workshop on Partial Differential Equations and Applied Mathematics   29 Dec 2015   
Shape-dependent motion of interacting camphor
EI Shin-Ichiro
he 16th RIES-Hokudai International Symposium   11 Nov 2015   
Interaction of asymmetric solutions in two dimensional spaces Part I, II
EI Shin-Ichiro
7 Nov 2015   
Pulse dynamics of modified FitzHugh-Nagumo equation
EI Shin-Ichiro
ICMMA 2015, Self-organization, Modeling and Analysis   27 Oct 2015   
Pulse dynamics of modified FitzHugh-Nagumo equation
EI Shin-Ichiro
2015 CMC-KMRS Mathematical Biology Conference on Cross-diffusion, chemotaxis,and related problems   9 Jul 2015   
Weak interaction of wavefronts in FitzHugh-Nagumo systems
EI Shin-Ichiro
27 Jun 2015   
Motion of interacting camphors
EI Shin-Ichiro
16 Feb 2015   
Motion of interacting camphors [Invited]
EI Shin-Ichiro
10 Jan 2015   
Motion of interacting camphors
EI Shin-Ichiro
2014 NCTS Applied Math. & PDE Seminar   2 Dec 2014   
EI Shin-Ichiro
14 Nov 2014   
Pulse dynamics for FitzHugh-Nagumo equation on heterogeneous media
EI Shin-Ichiro
mini-workshop on Modeling, Simulation & Analysis of Pattern Formation   27 Jul 2014   
Pulse dynamics for FitzHugh-Nagumo equation on heterogeneous media
EI Shin-Ichiro
16 Jul 2014   
Pulse dynamics in FitzHugh-Nagumosystems on heterogeneous media
EI Shin-Ichiro
9 Jul 2014   
Dynamics of localized solutions for reaction-diffusion systems in two dimensional domains
EI Shin-Ichiro
22 Feb 2014   
Motion of pulses for FitzHugh-Nagumo equation on heterogeneous media
EI Shin-Ichiro
31 Jan 2014   
Dynamics of pulses for FHN on heterogeneous media
EI Shin-Ichiro
29 Nov 2013   
Dynamics of Localized Solutions for Reaction-Diffusion Systems on Curved Surface
EI Shin-Ichiro
24 Oct 2013   
Dynamics of Localized patterns for Reaction-Diffusion Systems on a Curved Surface
EI Shin-Ichiro
Workshop on Mathematical Modelling and Analysis in the Life Sciences   12 Jun 2013   
Dynamics of Localized Solutions for Reactiondiffusion Systems on Curved Surface
EI Shin-Ichiro
IMA Special Workshop Joint US-Japan Conference for Young Researchers on Interactions among Localized Patterns in Dissipative Systems   7 Jun 2013   
Renormalization-Group approach to the movement of interacting pulses
EI Shin-Ichiro
10 Sep 2012   
Dynamics of localized solutions for reaction-diffusion systems on two dimensional domain,Nonlinear Partial Differential Equations,Dynamical Systems and Their Applications{in honor of Professor Hiroshi Matano on the occasion of his 60th birthday
EI Shin-Ichiro
4 Sep 2012   
Dynamics of localized solutions for reaction-diffusion systems in two-dimensional domains
EI Shin-Ichiro
Turing Symposium on Morphogenesis--Mathematical Approaches Sixty Years after Alan Turing   27 Aug 2012   
Infinite dimensional relaxation oscillation in a two mode randomly walking model with growth
EI Shin-Ichiro
25 Nov 2011   
Infinite dimensional relaxation oscillation
EI Shin-Ichiro
LOCALIZED MULTI-DIMENSIONAL PATTERNS IN DISSIPATIVESYSTEMS: THEORY, MODELING, AND EXPERIMENTS   26 Jul 2011   
Dynamics of pulses in two dimensional thin domain
EI Shin-Ichiro
The 3rd Kyushu University-POSTECH Joint Workshop- Partial Differential Equations and Fluid Dynamics   16 Jun 2011   
Dynamics of pulses in two dimensional thin domain
EI Shin-Ichiro
Far-From-Equilibrium Dynamics   7 Jan 2011   
Dynamics of pulses in two dimensional thin domains
EI Shin-Ichiro
29 Nov 2010   
The effect of boundary conditions to the pulse dynamics
EI Shin-Ichiro
20 Feb 2010   
The effect of boundary conditions to the dynamics of pulse solutions for reaction-diffusion systems
EI Shin-Ichiro
27 Dec 2009   
Effect of boundary conditions on the dynamics of a pulse solution for reaction-diffusion systems
EI Shin-Ichiro
18 Dec 2009   
The effect of boundary conditions to the pulse dynamics
EI Shin-Ichiro
16 Sep 2009   
The effect of boundary conditions to the dynamics of pulse solutions for reaction-diffusion systems
EI Shin-Ichiro
26 Aug 2009   
The dynamics of boundary spikes for reaction-diffusion systems in 2D
EI Shin-Ichiro
2nd International conference on Reaction-diffusion systems and viscosity solutions   17 Jul 2009   
The effect of boundary conditions to the pulse dynamics
EI Shin-Ichiro
Reaction-Diffusion Systems: Modeling and Analysis   2 Jun 2009   
Dynamics of boundary spikes for Gierer-Meinhardt model in 2D
EI Shin-Ichiro
Verified Computation of Solutions for Partial Differential Equations and Related Topics   28 May 2009   
Interaction of deformed pulses in two dimensional spaces
EI Shin-Ichiro
1 Dec 2008   
Motion of a transition layer in heterogeneous environment
EI Shin-Ichiro
17 Nov 2008   
The motion of a transition layer for a bistable reaction diffusion equation in one dimensional space with heterogeneous environment,Mathematical Understanding of Complex Systems arising in Biology and Medicine
EI Shin-Ichiro
CNRS Japan-France LIA ReaDiLab   27 Aug 2008   
Dynamics of Pulses Constructed by Front Interaction
EI Shin-Ichiro
11 Aug 2008   
The dynamics of spikes along boundaries in two dimensional space
EI Shin-Ichiro
8 Mar 2008   
Boundary spikes for reaction-diffusion systems II
EI Shin-Ichiro
26 Nov 2007   
The dynamics of boundary spikes for reaction-diffusion systems in space dimension 2
EI Shin-Ichiro
Mathematical modeling and analysis in biological and chemical systems   4 Sep 2007   
Interface Equations for Reaction-Diffusion Systems Near Critical Point
EI Shin-Ichiro
31 May 2007   
On the validity of mean curvature flow for weakly curved interfaces in reaction-diffusion systems with balanced bistable nonlinearity
EI Shin-Ichiro
19 Jan 2007   
Dynamics of Pulses Constructed by Front Interaction
EI Shin-Ichiro
Internal conference on RD and Viscosity solutions   3 Jan 2007   
Interface Equations for Reaction-Diffusion Systems Near Critical Point
EI Shin-Ichiro
Workshop on Reaction-Diffusion: Theory & Applications   1 Dec 2006   
Front dynamics in reaction-diffusion systems
EI Shin-Ichiro
21 Oct 2006   
Dynamics of front solutions in heterogeneous media
EI Shin-Ichiro
the Conference "Dynamics of nonlinear waves"   28 Apr 2006   
The dynamics of boundary spikes for reaction-diffusion systems in space dimension 2
EI Shin-Ichiro
25 Jan 2006   
Dynamics of front solutions in heterogeneous media
EI Shin-Ichiro
2 Dec 2005   
Dynamics of front solutions of reaction-diffusion systems with bistable nonlinearity
EI Shin-Ichiro
26 Oct 2005   
The motion of fronts in heterogeneous reaction-diffusion systems
EI Shin-Ichiro
13 Aug 2005   
A Variational Approach to Singular Perturbation Problems
EI Shin-Ichiro
11 Aug 2005   
Interacting pulses in reaction diffusion systems
EI Shin-Ichiro
7 Aug 2005   
Dynamics of Turing patterns for reaction-diffusion systems in a cylindrical domain on 2D
EI Shin-Ichiro
6 Aug 2005   
Dynamics of spiral solutions for reaction-diffusion systems with bistable nonlinearity
EI Shin-Ichiro
24 Jul 2005   
A variational approach to singular perturbation problems
EI Shin-Ichiro
19 Nov 2004   
Dynamics of pulse solutions in reaction-diffusion systems
EI Shin-Ichiro
16 Nov 2004   
Dynamics of patterns in reaction-diffusion systems on two dimensions
EI Shin-Ichiro
Nonlinear PDE symposium   5 Nov 2004   
A variational approach to singular perturbation problems
EI Shin-Ichiro
4 Nov 2004   
Dynamics of Turing patterns for reaction-diffusion systems in a cylindrical domain on 2D
EI Shin-Ichiro
「Hyperbolic problems, Theory, Numerics, Applications」   14 Sep 2004   
Dynamics of Turing patterns in cylindrical domains on 2D
EI Shin-Ichiro
9 Jul 2004   
Dynamics of Turing patterns in cylindrical domains on 2D
EI Shin-Ichiro
NCTS 2004 Workshop on Reaction-Diffusion Equations and Related Topics   29 May 2004   
Dynamics of Turing Patterns for Reaction-Diffusion Systems in a Cylindrical Domain in 2D
EI Shin-Ichiro
Mathematical Understanding of Invasion Processes in Life Sciences   16 Mar 2004   
2次元帯状領域におけるTuringパターン
EI Shin-Ichiro
Hakozaki Workshop on Applied and Numerical Analysis   23 Jan 2004   
The dynamics of patterns for reaction-diffusion systems in a cylindrical domain in 2D
EI Shin-Ichiro
6 Oct 2003   
The dynamics of patterns for reaction-diffusion systems in a cylindrical domain in 2D
EI Shin-Ichiro
BIRS Workshops: Defects and their Dynamics and Localization Behavior in Reaction-Diffusion Systems and Applications to the Natural Sciences   13 Aug 2003   
元シリンダー領域におけるパターンの運動について
EI Shin-Ichiro
Hiroshima Mathematical Analysis Seminar No.60   6 Jun 2003   
A new type of the Billiard problem arising from reaction-diffusion systems
EI Shin-Ichiro
Workshop on Dynamics of Nonlinear waves   21 Jan 2003   
Dynamics of patterns in reaction-diffusion systems and the related topics
EI Shin-Ichiro
25 Nov 2002   
Dynamics of Pulses in Reaction-Diffusion Systems
EI Shin-Ichiro
Development of numerical nethods for dynamics of interfaces and its applications to experiments in science and Engineering II   17 Jul 2002   
Pulse dynamics near a critical point in reaciton-diffusion systems
EI Shin-Ichiro
Workshop on "Singular limit analysis of reaciton-diffusion systems   10 Jul 2002   
Dynamics of pulses in reaciton-diffusion systems
EI Shin-Ichiro
14 Jun 2002   
Dynamics of pulse-like localized pattern in higher dimension
EI Shin-Ichiro
Traveling waves: Theory and Applications   23 Oct 2001   
Pulse dynamics approach to the analysis on the self-replicating behavior
EI Shin-Ichiro
Patterns and Waves - Mathematics and NonlinearChemistry   30 Aug 2001   
Invariant manifold and its application to the pulse dynamics
EI Shin-Ichiro
Workshop on "Asymptotics and Dynamics in Nonlinear Diffusive Systems   14 Jun 2001   
Dynamics of pulses in reaction-diffusion systems,Singular limits of reaction-diffusion systems: Interfaces and spikes
EI Shin-Ichiro
13 Mar 2001   
Minisynposium on nonlinear dynamics and dissipative systems
EI Shin-Ichiro
22 Feb 2001   
Dyanamics of pulse solutions in reaction-diffusion systems
EI Shin-Ichiro
6 Dec 2000   
Dynamics of localized solutions in reaction-diffusion systems
EI Shin-Ichiro
The first east Asia Symposium on Nonlinear PDE   20 Sep 2000   
Dynamics of interacting pulses in reaction-diffusion systems
EI Shin-Ichiro
Organized session "Pulse dynamics in dissipative systems"   11 Aug 2000   
Pulse dynamics of reaction-diffusion systems
EI Shin-Ichiro
31 May 2000   
Pulse dynamics approach to self-replicating patterns
EI Shin-Ichiro
11 May 2000   
The dynamics of pulses on reaction-diffusion systems II
EI Shin-Ichiro
NCTS Seminar   10 May 2000   
Dynamics of pulses for reaction-diffusion systems in higher dimensional space
EI Shin-Ichiro
9 May 2000   
The dynamics of pulses on reaction-diffusion systems I
EI Shin-Ichiro
NCTS Seminar   3 May 2000   
Dynamics of pulses for reaction-diffusion systems in higher dimensional space
EI Shin-Ichiro
1 May 2000   
The dynamics of interfaces in the scalar reaction-diffusion equations I&II
EI Shin-Ichiro
NCTS Seminar   26 Apr 2000   
Dynamics of interacting pulses in reaction-diffusion systems
EI Shin-Ichiro
Equations aux Derivees Partielles Non Lineaires Frontieres libres,Interfaces et Singularites   22 Mar 2000   
Pulse interaction and its application to bifurcation problems
EI Shin-Ichiro
8 Feb 2000   
The dynamics of spike solutions for reaction-diffusion systems in two dimensional space
EI Shin-Ichiro
IMS Workshop on Reaction-Diffusion Systems   6 Dec 1999   

Research Grants & Projects

 
JSP: CREST
Project Year: Oct 2014 - Mar 2020    Investigator(s): EI Shin-Ichiro
JSPS: KIBAN B
Project Year: Apr 2014 - Mar 2019    Investigator(s): EI Shin-Ichiro
Ministry of Education, Culture, Sports, Science and Technology: Grants-in-Aid for Scientific Research(挑戦的萌芽研究)
Project Year: 2009 - 2011    Investigator(s): Shin-ichiro EI
By considering the neighborhood of a bifurcation point, we dealt with pulses with slow velocities and investigated the effects of geometrical properties of domains on pulse motions. In fact, general methods to derive the equations of motions were ...
Ministry of Education, Culture, Sports, Science and Technology: Grants-in-Aid for Scientific Research(基盤研究(C))
Project Year: 2004 - 2007    Investigator(s): Shin-ichiro EI
In the period of this project, we completely classified the bifurcation structures of 1 dimensional traveling front solutions and analyzed the dynamics of traveling front solutions in inhomogeneous media from the dynamical system point of view. By...
Ministry of Education, Culture, Sports, Science and Technology: Grants-in-Aid for Scientific Research(基盤研究(C))
Project Year: 2000 - 2003    Investigator(s): Shin-ishiro EI
In this project, we considered the localized patterns in reaction-diffusion systems and tried to establish the theories to analyze the time evolutional behaviors. As the consequence, we obtained several results for the systems in 1D problems such ...

Others

 
Oct 2017   Patterns and dynamics with nonlocal effect, CREST WS
Oct 2017   New mathematical approaches for understanding of biological phenomena
Oct 2017   formation problems with non-local effects
Aug 2017   One-day Workshop on Reaction-Diffusion Equations at Asahikawa 2
Aug 2016   Patterns and Waves 2016
Jul 2016   Joint Australia-Japan workshop on dynamical systems with applications in life sciences
Nov 2015   The 11th HU and SNU Symposium on Mathematics,Mathematical analysis and applications
Aug 2015   Mathematical Modeling and the analysis in dissipative systems
Organizers:
SHIN-ICHIRO EI*; Masaharu Nagayama (10665; 10756)
Date: August 14 Time: 13:30--15:30 Room: Room 9 ,
Date: August 14 Time: 16:00--18:00 Room: Room 9
Minisymposia in
The 8th International Congress on
Industrial and applied mathematics, August 10-14, 2015, Beijing, China.
Jul 2015   One-day Workshop on Reaction-Diffusion Equations at Asahikawa from Wednesday afternoon
July 15th to Thursday morning, July 16th, 2015
Place:
Asahikawa Medical University,
2-1-1-1, Midorigaoka-higashi, Asahikawa 078-8510, Japan,
Organizers:
Takashi Teramoto,
School of Medicine, Asahikawa Medical University,
Shin-Ichiro Ei,
Department of Mathematics, Hokkaido University
5名参加.
Sep 2011   Nonlinear dynamics in partial differential equations
Jun 2010   World of Emerging Phenomena 2