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Mathematical analysis of front and pulse dynamics in heterogeneous diffusive media

Research Project

Project/Area Number 19540121
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field General mathematics (including Probability theory/Statistical mathematics)
Research InstitutionUniversity of Toyama

Principal Investigator

IKEDA Hideo  University of Toyama, 大学院・理工学研究部(理学), 教授 (60115128)

Co-Investigator(Kenkyū-buntansha) 栄 伸一郎  九州大学, 大学院・数理学研究院, 教授 (30201362)
小川 知之  大阪大学, 大学院・基礎工学研究科, 准教授 (80211811)
村川 秀樹  富山大学, 大学院・理工学研究部(理学), 助教 (40432116)
Co-Investigator(Renkei-kenkyūsha) EI Shin-ichirou  九州大学, 大学院・数理学研究院, 教授 (30201362)
OGAWA Tomoyuki  大阪大学, 大学院・基礎工学研究科, 准教授 (80211811)
MURAKAWA Hideki  富山大学, 大学院・理工学研究部, 助教 (40432116)
Project Period (FY) 2007 – 2009
Project Status Completed (Fiscal Year 2009)
Budget Amount *help
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2009: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2008: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2007: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
Keywords反応拡散系 / 中心多様体 / ダイナミクス / 非一様媒体 / 縮約方程式 / 特異摂動法 / 進行波解 / 多重特異点 / 分水嶺解 / 中心多様体理論
Research Abstract

2成分反応拡散系において,拡散係数(2成分とも)にステップ状の空間非一様な摂動を与えたときの解のダイナミクスを,中心多様体理論を用いて有限次元の常微分方程式に縮約し,その縮約系を解析することにより,全体の解構造(安定定常解,不安定定常解,不安定周期解の存在,Hopf分岐,ホモクリニック分岐,分水嶺解の役割など)を決定し,非一様性の為に起こる進行波の通過,停止,反射のメカニズムを理論的に明らかにした。

Report

(4 results)
  • 2009 Annual Research Report   Final Research Report ( PDF )
  • 2008 Annual Research Report
  • 2007 Annual Research Report
  • Research Products

    (74 results)

All 2010 2009 2008 2007 Other

All Journal Article (34 results) (of which Peer Reviewed: 34 results) Presentation (38 results) Book (2 results)

  • [Journal Article] The motion of a transition layer for a bistable reaction diffusion equation with heterogeneous environment2010

    • Author(s)
      栄伸一郎, 松澤寛
    • Journal Title

      DCDS A Vol.26

      Pages: 901-921

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] The motion of a transition layer for a bistable reaction diffusion equation with heterogeneous environment2010

    • Author(s)
      S.-I.Ei, H.Matsuzawa
    • Journal Title

      DCDS A 26

      Pages: 901-921

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Bifurcation analysis to Swift-Hohenberg equation with Steklov type boundary conditions2009

    • Author(s)
      小川知之, 奥田孝志
    • Journal Title

      DCDS A Vol.25

      Pages: 273-297

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] A minimal model of prey-predator system with dormancy of predators and the paradox of enrichment2009

    • Author(s)
      桑村正隆, 中沢, 小川知之
    • Journal Title

      J. Math. Biol Vol.58

      Pages: 459-479

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] SELF-MOTION OF CAMPHOR DISCS-MODEL AND ANALYSIS-2009

    • Author(s)
      X. Chen, 栄伸一郎, 三村昌泰
    • Journal Title

      NETWORKS AND HETEROGENEOUS MEDIA Vol.4

      Pages: 1-19

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Neuron phase shift adaptive to time delay in locomotor control2009

    • Author(s)
      K.Ohgane, S.-I.Ei, H.Mahara
    • Journal Title

      Appl.Math. Modelling 33

      Pages: 797-811

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] SELF-MOTION OF CAMPHOR DISCS -MODEL AND ANALYSIS-2009

    • Author(s)
      Xinfu Chen, S.-I.Ei, M.Mimura
    • Journal Title

      NETWORKS AND HETEROGENEOUS MEDIA 4

      Pages: 1-18

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Pulse dynamics for reaction-diffusion systems in the neighborhood of codimension two singularity2009

    • Author(s)
      S.-I.Ei, Y.Nishiura, K.-I.Ueda
    • Journal Title

      J. of Math. for Industry 1

      Pages: 91-95

    • NAID

      120001633478

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] The dynamics of weakly interacting fronts in an adsorbate-induced phase transition model2009

    • Author(s)
      S.-I.Ei, T.Tsujikawa
    • Journal Title

      KYBERNETIKA Vol.45 No4

      Pages: 625-633

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Bifurcation analysis to Swift-Hohenberg equation with Steklov type boundary conditions2009

    • Author(s)
      T.Ogawa, T.Okuda
    • Journal Title

      DCDS A 25

      Pages: 273-297

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] SELF--MOTION OF CAMPHOR DISCS -MODEL AND ANALYSIS-2009

    • Author(s)
      X. Chen, S. -I. Ei, M. Mimura
    • Journal Title

      NETWORKS AND HETEROGENEOUS MEDIA 4

      Pages: 1-19

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Neuron phase shift adaptive to ime delay in locomotor control2009

    • Author(s)
      K. Ohgane, S. -I. Ei, H. Mahara
    • Journal Title

      Appl. Math. Modelling 33

      Pages: 797-811

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A minimal model of prey-predator system with dormancy of predators and the paradox of enrichment2009

    • Author(s)
      M. Kuwamura, T. Nakazawa, T. Ogawa
    • Journal Title

      J. Math. Biol. 58

      Pages: 459-479

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A regularization of a reaction-diffusion system approximation to the two-phase Stefan problem2008

    • Author(s)
      村川秀樹
    • Journal Title

      Nonlinear Analysis, Theory, Methods and Applications Vol.69

      Pages: 3512-3524

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Eigenfunctions of the adjoint operator associated with a pulse solution of some reaction-diffusion systems2008

    • Author(s)
      栄伸一郎, 池田榮雄, 池田幸太, 柳田英二
    • Journal Title

      Bull. Inst. Math. Academia Sinica Vol.3

      Pages: 603-666

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Dynamics of front solutions in a specific reaction-diffusion system in one dimension2008

    • Author(s)
      栄伸一郎, 池田榮雄, 川名健之
    • Journal Title

      Japan J. Indust. Appl. Math Vol.25

      Pages: 117-147

    • NAID

      10021073097

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Dynamics of front solutions in a specific reaction-diffusion system in one dimension2008

    • Author(s)
      S. -I. Ei, H. Ikeda, T. Kawana
    • Journal Title

      Japan J. Indust. Appl. Math. 25

      Pages: 117-147

    • NAID

      10021073097

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Eigenfunctions of the adjoint operator associated with a pulse solution of some reaction-diffusion systems2008

    • Author(s)
      S. -I. Ei, H. Ikeda, K. Ikeda, E. Yanagida
    • Journal Title

      Bull. Inst. Math. Academia Sinica 3

      Pages: 603-666

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A regularization of a reaction-diffusion system approximation to the two-phase Stefan problem2008

    • Author(s)
      H. Murakawa
    • Journal Title

      Nonlinear Analysis, Theory, Methods and Applications 69

      Pages: 3512-3524

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Dynamics of front solutions in a specific reaction-diffusion system inone dimension2008

    • Author(s)
      S.-I. Ei, H.Ikeda and T.Kawana
    • Journal Title

      Japan J. Indust. Appl. Wath 25

      Pages: 117-147

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Selection principle for various modes of spatially non-uniform electrochemical oscillations2008

    • Author(s)
      S.Fukushima, S.Nakanishi, Y.Nakato and T.Ogawa
    • Journal Title

      J. Chemical Physics 128

      Pages: 14714-14714

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Reaction-diffusion system approximation to degenerate parabolic systems2007

    • Author(s)
      村川秀樹
    • Journal Title

      Nonlinearity Vol.20

      Pages: 2319-2332

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Degenerate Hopf Instability in Oscillatory Reaction-Diffusion Equations2007

    • Author(s)
      小川知之
    • Journal Title

      DCDS Supplements vol.784-793

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Dynamics of weakly interacting front and back waves in three-component systems2007

    • Author(s)
      池田榮雄
    • Journal Title

      Toyama Math. J Vol.30

      Pages: 1-34

    • NAID

      120002599127

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Dynamics of weakly interacting front and back waves in three-component systems2007

    • Author(s)
      H. Ikeda
    • Journal Title

      Toyama Math. J 30

      Pages: 1-34

    • NAID

      120002599127

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Degenerate Hopf Instability in Oscillatory Reaction-Diffusion Equations2007

    • Author(s)
      T. Ogawa
    • Journal Title

      DCDS Supplements Special vol

      Pages: 784-793

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Reaction-diffusion svstem atmroximation to degenerate uarabolic systems2007

    • Author(s)
      H.Murakawa
    • Journal Title

      Nonlinearity 20

      Pages: 2319-2332

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A relation between cross-diffusion and reaction-diffusion

    • Author(s)
      村川秀樹
    • Journal Title

      DCDS Special (印刷中)

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Front dynamics in heterogeneous diffusive media

    • Author(s)
      池田榮雄, 栄伸一郎
    • Journal Title

      Physica D (印刷中)

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] A relation between cross-diffusion and reaction-diffusion

    • Author(s)
      Hideki Murakawa
    • Journal Title

      To appear in DCDS S (印刷中)

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Bifurcation analysis to Swift-Hohenberg equation with Steklov type boundary conditions

    • Author(s)
      T. Ogawa, T. Okuda
    • Journal Title

      accepted to Discrete and Continuous Dynamical System (印刷中)

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A solution of nonlinear diffusion problems by semilinear reaction-diffusion systems

    • Author(s)
      H. Murakawa
    • Journal Title

      Kybernetika (印刷中)

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Neuron phase shift adaptive to time delay in locomotor control

    • Author(s)
      K.Ohgane, S.-I. Ei and H.Mahara
    • Journal Title

      Appl. Math. Modelling (印刷中)

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A reffularization of a reaction-diffusion svstem approximation to the two-phase Stefan Droblem

    • Author(s)
      H.Murakawa
    • Journal Title

      Nonlinear Analysis, Theory, Methods andApplications (印刷中)

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Presentation] A numerical method for cross-diffusion systems2010

    • Author(s)
      Hideki Murakawa
    • Organizer
      Reaction-Diffusion Systems : A ReaDiLab Seminar Day
    • Place of Presentation
      Universite de Paris-Sud 11, France
    • Year and Date
      2010-03-19
    • Related Report
      2009 Annual Research Report
  • [Presentation] A solution of nonlinear diffusion problems by semilinear reaction-diffusion systems2010

    • Author(s)
      Hideki Murakawa
    • Organizer
      Spatio-Temporal Patterns from Mathematics to Biomedical Applications
    • Place of Presentation
      Archamps, France
    • Year and Date
      2010-03-16
    • Related Report
      2009 Annual Research Report
  • [Presentation] 非一様媒体上でのフロント進行波の散乱と分水嶺解について2010

    • Author(s)
      池田榮雄
    • Organizer
      北陸応用解析研究集会2010
    • Place of Presentation
      金沢大学
    • Year and Date
      2010-02-13
    • Related Report
      2009 Annual Research Report 2009 Final Research Report
  • [Presentation] 非一様媒体上のフロント進行波のダイナミクスについて2009

    • Author(s)
      池田榮雄
    • Organizer
      応用数学合同研究集会
    • Place of Presentation
      龍谷大学
    • Year and Date
      2009-12-18
    • Related Report
      2009 Annual Research Report 2009 Final Research Report
  • [Presentation] 非一様拡散場におけるフロント波の散乱と分水嶺解2009

    • Author(s)
      池田榮雄
    • Organizer
      富山解析セミナー2009
    • Place of Presentation
      富山大学
    • Year and Date
      2009-10-03
    • Related Report
      2009 Annual Research Report 2009 Final Research Report
  • [Presentation] O(3)対称な反応拡散系でのウェーブ分岐2009

    • Author(s)
      小川知之
    • Organizer
      日本数学会秋季総合分科会応用数学分科会
    • Place of Presentation
      大阪大学豊中キャンパス
    • Year and Date
      2009-09-30
    • Related Report
      2009 Annual Research Report
  • [Presentation] Dynamics of traveling front waves in bistable heterogeneous media2009

    • Author(s)
      池田榮雄
    • Organizer
      Equadiff 12
    • Place of Presentation
      Masarky University, Brno, Check Republic
    • Year and Date
      2009-07-21
    • Related Report
      2009 Annual Research Report 2009 Final Research Report
  • [Presentation] The effect of boundary conditions to the pulse dynamics2009

    • Author(s)
      S.-I.Ei
    • Organizer
      Reaction-Diffusion Systems : Modeling and Analysis ReaDiLab Conference in Orsay
    • Place of Presentation
      France
    • Year and Date
      2009-06-02
    • Related Report
      2009 Annual Research Report
  • [Presentation] Dynamics of boundary spikes for Gierer-Meinhardt model in 2D2009

    • Author(s)
      S.-I.Ei
    • Organizer
      ECM2009
    • Place of Presentation
      The Hong Kong Polytechnic University
    • Year and Date
      2009-05-28
    • Related Report
      2009 Annual Research Report
  • [Presentation] 双安定非一様拡散場におけるフロントダイナミクスについて2009

    • Author(s)
      池田榮雄
    • Organizer
      北陸応用数理研究会2009
    • Place of Presentation
      金沢大学サテライトプラザ
    • Year and Date
      2009-02-14
    • Related Report
      2009 Final Research Report 2008 Annual Research Report
  • [Presentation] 二成分反応拡散系の進行波解-その構成法と安定性2009

    • Author(s)
      池田榮雄
    • Organizer
      杜の学校2009「パターン形成の数理」
    • Place of Presentation
      岩手大学
    • Related Report
      2009 Annual Research Report 2009 Final Research Report
  • [Presentation] 球面上の反応拡散系におけるウェーブ分岐2008

    • Author(s)
      伊藤 尚人, 小川 知之
    • Organizer
      応用数学合同研究集会
    • Place of Presentation
      龍谷大学
    • Year and Date
      2008-12-16
    • Related Report
      2008 Annual Research Report
  • [Presentation] Quasi rotating waves to reaction-diffusion systems2008

    • Author(s)
      小川 知之
    • Organizer
      研究集会SNP2008
    • Place of Presentation
      関西セミナーハウス
    • Year and Date
      2008-12-02
    • Related Report
      2008 Annual Research Report
  • [Presentation] Motion of a transition layer in heterogeneous environment2008

    • Author(s)
      栄 伸一朗
    • Organizer
      九州大学数値解析セミナー
    • Place of Presentation
      KKRホテル金沢
    • Year and Date
      2008-11-17
    • Related Report
      2008 Annual Research Report
  • [Presentation] The motion of a transition layer for a bistable reaction diffusion equation in one dimensional space with heterogeneous environment2008

    • Author(s)
      S. -I. Ei
    • Organizer
      Mathematical Understanding of Complex Systems arising in Biology and Medicine, CNRS Japan-France LIA ReaDiLab
    • Place of Presentation
      明治大学紫紺館
    • Year and Date
      2008-10-28
    • Related Report
      2008 Annual Research Report
  • [Presentation] Topological aspect of the Jacobian conjecture2008

    • Author(s)
      T. Asanuma
    • Organizer
      AMS 2008 Fall Central Section Meeting Affine Algebraic Geometry, I
    • Place of Presentation
      Western Michigan University USA
    • Year and Date
      2008-10-17
    • Related Report
      2008 Annual Research Report
  • [Presentation] 非一様拡散と進行波のダイナミクス2008

    • Author(s)
      池田榮雄
    • Organizer
      研究集会「富山解析セミナー2008」
    • Place of Presentation
      富山大学
    • Year and Date
      2008-10-04
    • Related Report
      2009 Final Research Report 2008 Annual Research Report
  • [Presentation] 双安定非一様拡散場における進行波のダイナミクス2008

    • Author(s)
      池田榮雄
    • Organizer
      日本数学会, 2008年度秋期総合分科会
    • Place of Presentation
      東京工業大学
    • Year and Date
      2008-09-27
    • Related Report
      2009 Final Research Report 2008 Annual Research Report
  • [Presentation] 非一様拡散場における進行波のダイナミクス2008

    • Author(s)
      池田榮雄
    • Organizer
      第18回日本数理生物学会大会(企画シンポジウム)
    • Place of Presentation
      同志社大学
    • Year and Date
      2008-09-18
    • Related Report
      2009 Final Research Report
  • [Presentation] 非一様拡散場における進行波のダイナミクス2008

    • Author(s)
      池田 榮雄
    • Organizer
      第18回日本数理生物学会大会(企画シンポジウム)
    • Place of Presentation
      同志社大学(今出川校)・寒梅館
    • Year and Date
      2008-09-18
    • Related Report
      2008 Annual Research Report
  • [Presentation] Dynamics of Pulses Constructed by Front Interaction2008

    • Author(s)
      栄 伸一郎
    • Organizer
      NSCセミナー
    • Place of Presentation
      北海道大学電子科学研究所
    • Year and Date
      2008-08-11
    • Related Report
      2008 Annual Research Report
  • [Presentation] 放物型自由境界問題における界面の近似2008

    • Author(s)
      村川 秀樹
    • Organizer
      研究集会「パターンダイナミクスの数理とその周辺」
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2008-06-26
    • Related Report
      2008 Annual Research Report
  • [Presentation] Dynamics of front solutions in bistable heterogeneous diffusive media, Ryukoku Workshop 20082008

    • Author(s)
      池田榮雄
    • Organizer
      Recent Progress on Pattern Formation and Dynamics in Mathematical Sciences
    • Place of Presentation
      龍谷大学
    • Year and Date
      2008-06-14
    • Related Report
      2009 Final Research Report
  • [Presentation] Dynamics of front solutions in bistable heterogeneous Diffusive media2008

    • Author(s)
      H. Ikeda
    • Organizer
      Ryukoku Workshop 2008, Recent Progress on Pattern Formation and Dynamics in Mathematical Sciences
    • Place of Presentation
      Hall Hiei, Seta Urban Hotel
    • Year and Date
      2008-06-14
    • Related Report
      2008 Annual Research Report
  • [Presentation] A solution of parabolic free boundary problems by semilinear reaction-diffusion systems2008

    • Author(s)
      H. Murakawa
    • Organizer
      Free Boundary Problems Theory and Applications
    • Place of Presentation
      KTH, Stockholm, Sweden
    • Year and Date
      2008-06-12
    • Related Report
      2008 Annual Research Report
  • [Presentation] The dynamics of snikes along boundaries in two dimensional space2008

    • Author(s)
      栄 伸一郎
    • Organizer
      首都大学東京数理解析小研究集会
    • Place of Presentation
      首都大学東京(南大沢キャンパス
    • Year and Date
      2008-03-08
    • Related Report
      2007 Annual Research Report
  • [Presentation] 反応拡散系における進行波の非一様性に対する応答について2007

    • Author(s)
      池田榮雄
    • Organizer
      研究小集会「反応拡散系とその周辺」(京都駅前セミナー)
    • Place of Presentation
      キャンパスプラザ京都
    • Year and Date
      2007-12-11
    • Related Report
      2009 Final Research Report 2007 Annual Research Report
  • [Presentation] Reaction-diffusion system approximation to free boundary nroblems and its application to numerical conmutations2007

    • Author(s)
      村川 秀樹
    • Organizer
      International Conference on Free Boundary Problems in Chiba 2007
    • Place of Presentation
      千葉大学
    • Year and Date
      2007-11-29
    • Related Report
      2007 Annual Research Report
  • [Presentation] Boundary spikes for reaction-diffusion systems II, Dynamics of boundary spikes,2007

    • Author(s)
      栄 伸一郎
    • Organizer
      Workshop非線形問題に現れる特異性の解析SNP2007
    • Place of Presentation
      関西セミナーハウス(京都)
    • Year and Date
      2007-11-26
    • Related Report
      2007 Annual Research Report
  • [Presentation] 双安定非一様拡散場におけるフロント解のダイナミクス2007

    • Author(s)
      池田榮雄
    • Organizer
      生物数学の理論とその応用
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2007-10-31
    • Related Report
      2009 Final Research Report 2007 Annual Research Report
  • [Presentation] 移動境界問題に対する反応拡散系近似とその応用2007

    • Author(s)
      村川 秀樹
    • Organizer
      盛岡応用数学小研究集会
    • Place of Presentation
      岩手大学
    • Year and Date
      2007-10-13
    • Related Report
      2007 Annual Research Report
  • [Presentation] 双安定非一様拡散場におけるフロントダイナミクス2007

    • Author(s)
      池田榮雄
    • Organizer
      研究集会「富山解析セミナー2007」
    • Place of Presentation
      富山大学
    • Year and Date
      2007-09-29
    • Related Report
      2009 Final Research Report 2007 Annual Research Report
  • [Presentation] 特異摂動理論とその応用2007

    • Author(s)
      池田榮雄
    • Organizer
      非線形数理・秋の学校「パターン形成の数理とその周辺」
    • Place of Presentation
      明治大学・秋葉原サテライトキャンパス
    • Year and Date
      2007-09-26
    • Related Report
      2009 Final Research Report 2007 Annual Research Report
  • [Presentation] Spatio-temporal Oscillations by Wave Bifurcation2007

    • Author(s)
      小川 知之
    • Organizer
      International Symposium on Nonlinear Theoryand its Applications
    • Place of Presentation
      Vancouver, Canada
    • Year and Date
      2007-09-18
    • Related Report
      2007 Annual Research Report
  • [Presentation] Reaction-diffusion system approximation to degenerate parabolic equations and its andlication to numerical computations2007

    • Author(s)
      村川 秀樹
    • Organizer
      Equadiff07
    • Place of Presentation
      Vienna University of Tech noloey, Vienna. Austria
    • Year and Date
      2007-08-08
    • Related Report
      2007 Annual Research Report
  • [Presentation] Reaction-diffusion svstem annroximation to moving boundary nroblemsand its actdication to numerical nomnutations2007

    • Author(s)
      村川 秀樹
    • Organizer
      lnternational Conference on Recent Developments
    • Place of Presentation
      九州大学
    • Year and Date
      2007-06-27
    • Related Report
      2007 Annual Research Report
  • [Presentation] Interface Equations for Reaction-Diffusion Systems Near Critical Point2007

    • Author(s)
      栄 伸一郎
    • Organizer
      SIAM Conference on Applications of Dynamical Systems
    • Place of Presentation
      Snowbird
    • Year and Date
      2007-05-31
    • Related Report
      2007 Annual Research Report
  • [Presentation] 緩く曲がった境界上のパルス解の運動について2007

    • Author(s)
      栄 伸一郎
    • Organizer
      京都大学理学部数学談話
    • Place of Presentation
      京都大学
    • Year and Date
      2007-04-25
    • Related Report
      2007 Annual Research Report
  • [Book] パターン形成の数理2008

    • Author(s)
      栄伸一郎, 山田光太郎
    • Total Pages
      126
    • Publisher
      講談社
    • Related Report
      2008 Annual Research Report
  • [Book] フーリエ解析+偏微分方程式2007

    • Author(s)
      藤原 毅夫, 栄 伸一郎
    • Total Pages
      198
    • Publisher
      裳華房
    • Related Report
      2007 Annual Research Report

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Published: 2007-04-01   Modified: 2016-04-21  

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