平成12年度 プロジェクト研究
Reaction-diffusion systems: theory and applications
反応拡散系:生物・化学における現象とモデル
２５日
13:30-13:45 はじめに
吉川研一（京大院理）
13:45-14:35 反応拡散系のパルスダイナミクス
太田隆夫（広大院理）
14:35-15:15 興奮性を示す反応拡散系にみられるシェルビンスキーガスケット
早瀬友美乃（茶女大院人間文化）
（15:15-15:30 休憩）
15:30-16:10 Reaction-diffusion and cell-automaton models for
explaining patterns observed in fishes
望月敦史（九大院理）
16:10-16:50 反応拡散系に現れる螺旋進行波について
長山雅晴（京大数理研）
16:50-17:10 反応拡散場の非対称結合系での情報処理演算の試み
元池育子（京大院理）
―――― 懇親会 ――――
２６日
09:00-09:50 環境攪乱と侵入生物の分布拡大
重定南奈子（奈良女理）
09:50-10:20 細胞周期がサイクルするカエル卵の抽出液
大隅圭太（東工大院生命理工）
（10:20-10:40 休憩）
10:40-11:10 発生生物学における形態形成と理論モデル
三浦 岳（京大院医）
11:10-12:00 自己構築による生物の形
本多久夫（兵庫大経済情報）
（12:00-13:20 昼食）
13:20-14:20 Nanoscale self-organization in chemical systems
Alexander S. Mikhailov
14:20-15:00 バクテリア・コロニーのパターン形成
脇田順一（中大理工）
（15:00-15:20 休憩）
15:20-16:00 線虫C.elegansの神経回路網に関する数理的研究
岩崎唯史（茨大工）・五味壮平（岩大人社）
16:00-16:30 交通流と物理
坂東昌子（愛知大一般教育）
16:30-17:00 ２次元はばたき飛行における剥離秩序渦の役割
飯間 信（北大電子研）
17:00-17:20 原始細胞の発生と進化の抽象と抽象モデル
小野直亮（東大院総合文化池上研）
17:20-17:40 非平衡条件下で発動されるDNA分子の折りたたみ／ときほぐし振動
野村慎一朗（京大院理）・真山博幸（CREST）
２７日
09:00-09:30 電極反応が作るリズムと形
中林誠一郎（埼大理）
09:30-10:10 粘菌の収縮リズムと数理モデル
山田裕康（北大電子研、理研）・中垣俊之（理研）
（10:10-10:30 休憩）
10:30-11:10 ゴールドストーンモードの生み出す時空カオス -ソフトモード乱流-
日高芳樹（九大院工）
11:10-11:50 反応拡散系にあわられる樹脂状パターン
上山大信（広大院理）
11:50-12:10 揺らぎと移流不安定性からシグナル伝達へ
藤本仰一（東大教養金子研）
12:10-12:25 反応拡散系の展望と課題：結びとして
蔵本由紀（京大院理）
非線形拡散系 ー ダイナミクスと漸近解析
[ ５月３０日(火) ] 9:50-10:00 Opening 10:00-10:50 L. A. Peletier (Leiden University) Pattern Formation Described by the Swift-Hohenberg Equation and the Extended Fisher-Kolmogorov Equation 11:10-12:00 Georg S. Weiss (東大・数理) A Singular Limit in Combustion Theory: Identification of the Limit 13:30-14:20 愛木 豊彦 (岐阜大・教育)，今井 仁司 (徳島大・工)， 石村 直之 (一橋大・経済)，山田 義雄 (早稲田大・理工) Asymptotic Behavior of Solutions to One-phase Stefan Problems for Sublinear Heat Equations 14:40-15:30 Peter W. Bates (Brigham Young University) Discrete and Nonlocal Dispersive Equations (I) 15:50-16:40 桑村 雅隆 (和歌山大・システム工) A General Criterion for the Eckhaus Instability in Gradient/Skew-Gradient Systems [ ５月３１日(水) ] 10:00-10:50 栄 伸一郎 (横浜市大・総理) Pulse Dynamics of Reaction-Diffusion Systems 11:10-12:00 Peter W. Bates (Brigham Young University) Discrete and Nonlocal Dispersive Equations (II) 13:30-14:20 鈴木 貴 (阪大・理) Mathematical Analysis for a Simplified System of Chemotaxis 14:40-15:30 Peter Sternberg (Indiana University) Eigenvalue Problems Related to the Onset of Superconductivity (I) 15:50-16:40 Xinfu Chen (University of Pittsburgh) Well-Posedness of a Free Boundary Problem in the Limit of Slow-Diffusion Fast Reaction Systems [ ６月１日(木) ] 10:00-10:50 利根川 吉廣 (北大・理) Singular Perturbation Limits of Two-Phase Field Model 11:10-12:00 Peter Sternberg (Indiana University) Eigenvalue Problems Related to the Onset of Superconductivity (II) 13:30-14:20 大谷 光春 ・ 杉山 由恵 (早稲田大・理工) Smooth Solutions of Porous Medium Equations 14:40-15:30 Xu-Yan Chen (Georgia Institute of Technology) A Dynamical Analysis of Self-Similar Scaling and Local Asymptotics in Elliptic and Parabolic Equations (I) 15:50-16:40 Jong-Shenq Guo (National Taiwan Normal University) Global Continuation Beyond Singularity on the Boundary [ ６月２日(金) ] 10:00-10:50 山田 義雄 (早稲田大・理工) Multiple Coexistence States for Lotka-Volterra Competition Model with Diffusion 11:10-12:00 Xu-Yan Chen (Georgia Institute of Technology) A Dynamical Analysis of Self-Similar Scaling and Local Asymptotics in Elliptic and Parabolic Equations (II) 13:30-14:20 L. A. Peletier (Leiden University) Pulses, Kinks and Fronts in the Gray-Scott Model 14:40-15:30 坂元 国望 (広大・理) Interface Dynamics Driven by Mean Curvature and Nonlocal Effects 15:30-15:40 Closing
Nonlinear Diffusive Systems -- Dynamics and Asymptotics
[ May 30 ] 9:50-10:00 Opening 10:00-10:50 L. A. Peletier (Leiden University) Pattern Formation Described by the Swift-Hohenberg Equation and the Extended Fisher-Kolmogorov Equation 11:10-12:00 Georg S. Weiss (University of Tokyo)) A Singular Limit in Combustion Theory: Identification of the Limit 13:30-14:20 Toyohiko Aiki (Gifu University), Hitoshi Imai (Tokushima University), Naoyuki Ishimura (Hitotsubahi University), Yoshio Yamada (Waseda University) Asymptotic Behavior of Solutions to One-phase Stefan Problems for Sublinear Heat Equations 14:40-15:30 Peter W. Bates (Brigham Young University) Discrete and Nonlocal Dispersive Equations (I) 15:50-16:40 Masataka Kuwamura (Wakayama University) A General Criterion for the Eckhaus Instability in Gradient/Skew-Gradient Systems [ May 31 ] 10:00-10:50 Shin-ichiro Ei (Yokohama City University) Pulse Dynamics of Reaction-Diffusion Systems 11:10-12:00 Peter W. Bates (Brigham Young University) Discrete and Nonlocal Dispersive Equations (II) 13:30-14:20 Takashi Suzuki (Osaka University) Mathematical Analysis for a Simplified System of Chemotaxis 14:40-15:30 Peter Sternberg (Indiana University) Eigenvalue Problems Related to the Onset of Superconductivity (I) 15:50-16:40 Xinfu Chen (University of Pittsburgh) Well-Posedness of a Free Boundary Problem in the Limit of Slow-Diffusion Fast Reaction Systems [ June 1] 10:00-10:50 Yoshihiro Tonegawa (Hokkaido University) Singular Perturbation Limits of Two-Phase Field Model 11:10-12:00 Peter Sternberg (Indiana University) Eigenvalue Problems Related to the Onset of Superconductivity (II) 13:30-14:20 Mitsuharu Otani, Yoshie Sugiyama (Waseda University) Smooth Solutions of Porous Medium Equations 14:40-15:30 Xu-Yan Chen (Georgia Institute of Technology) A Dynamical Analysis of Self-Similar Scaling and Local Asymptotics in Elliptic and Parabolic Equations (I) 15:50-16:40 Jong-Shenq Guo (National Taiwan Normal University) Global Continuation Beyond Singularity on the Boundary [ June 2 ] 10:00-10:50 Yoshio Yamada (Waseda University) Multiple Coexistence States for Lotka-Volterra Competition Model with Diffusion 11:10-12:00 Xu-Yan Chen (Georgia Institute of Technology) A Dynamical Analysis of Self-Similar Scaling and Local Asymptotics in Elliptic and Parabolic Equations (II) 13:30-14:20 L. A. Peletier (Leiden University) Pulses, Kinks and Fronts in the Gray-Scott Model 14:40-15:30 Kunimochi Sakamoto (Hiroshima University) Interface Dynamics Driven by Mean Curvature and Nonlocal Effects 15:30-15:40 Closing
非線形散逸系の界面・パルス・波動
28 August
13:45 M. Mimura (Hiroshima)
Opening address
14:00-14:45 H. G. Purwins (Munster)
(to be announced)
14:45-15:30 S. Nasuno (KIT)
Interacting spots in a quasi two-dimensional
dc-driven gas discharge system
15:30-16:00 break
16:00-16:45 Y. Hidaka (Kyushu)
Chevron-Wavy Pattern in Liquid Crystals
29 August
9:30-10:15 M. Chaplain (Dundee)
(to be announced)
10:15-10:30 break
10:30-11:15 M. Sano (Tokyo)
Calcium Wave Propagation in Networks
of Astrocyte-Neuron Culture
11:15-12:00 A. Mochizuki (Kyushu)
Mathematical models for biological pattern formation:
on cone mosaic of retina and strips of coating in fish.
13:30-14:15 F. Hamel (Universite Pierre et Marie Curie)
Front propagation in periodic media
14:15-15:00 T. Ikeda (Ryukoku) and M. Nagayama (Kyoto)
Numerical simulation of helical waves arising
in self-propagating high-temperature syntheses
15:00-15:30 break
15:30-16:15 Y. Yamazaki (Hiroshima)
Front Aggregation and Labyrinthine Pattern
in the Drying Process of Water-Granule Systems
16:15-17:00 A. Nomura (Yamaguchi Pref.)
Chemotactic patterns in biological systems
30 August
9:30-10:15 E. Meron (Ben-Gurion)
Spiral-Wave Nucleation
10:15-10:30 break
10:30-11:15 M. Mimura (Hiroshima) and S.-I. Ei (Yokohama City Univ.)
Dynamics of travelling spots in reaction-diffusion systems
11:15-12:00 D. Ueyama (Hiroshima), Y. Nishiura (Hokkaido) and
T.Yanagita (Hokkaido)
A chaotic traveling pulse in discrete dissipative systems
13:30-14:15 M. Doi (NIT)
Pattern Formation on the Free Surface of Bilayer Films
14:15-15:00 M. Kawaguchi (Mie)
Hele-Shaw cell experiments of viscous fingering
and bubble motion in polymer solutions
15:00-15:30 break
15:30-16:15 S. Tadaki (Saga)
Can we explain the formation of congestion in expressways?
(tentative)
16:15-17:00 K. Nakanishi (Nagoya)
Traffic Models and a Solvable Difference-Differential Equation
31 August
9:30-10:15 R. Kapral (Tronto)
Line Defects and Nonequilibrium Chemical Patterns
10:15-10:30 break
10:30-11:15 D. Takahashi (Waseda)
Continuous, Discrete, Ultradiscrete waves
11:15-12:00 T. Okuzono (Hiroshima) and T. Ohta (Hiroshima)
Self-propulsion of Cellular Structures
in Chemically Reacting Mixtures
自由境界問題
Reaction-Diffusion Systems: Theory and Applications
February 5 (Monday)
13:00-13:10 Opening address Masayasu Mimura (Hiroshima University)
13:10-13:50 Wei-Ming Ni (University of Minnesota, U.S.A.)
Recent progress on the Lotka-Volterra competition system with
cross-diffusion
14:00-14:40 Eiji Yanagida (Tohoku University)
Stability analysis for shadow systems
14:50-15:20 break
15:20-16:00 Danielle Hilhorst (University of Paris-Sud, France)
The singular limit of a reaction-diffusion system with
resource-consumer interaction
16:10-16:50 Yoshihisa Morita (Ryukoku University)
Some dynamical aspects of vortices in the
Ginzburg-Landau equation
February 6 (Tuesday)
10:00-10:40 Takashi Suzuki (Osaka University)
Time global solutions for a parabolic elliptic system
modelling chemotaxis
10:50-11:30 Jong-Shenq Guo (Taiwan Normal University, Taiwan)
Blow-up behavior for a quasi-linear
parabolic equation
11:40-12:20 Kunimochi Sakamoto (Hiroshima University)
Equilibrium transition layers intersecting the
boundary of domain for reaction-diffusion systems
12:30-14:00 Lunch break
14:00-14:40 Odo Diekmann (Utrecht University, Netherlands)
Quasilinear population models
14:50-15:20 break
15:20-16:00 Yasumasa Nishiura (Hokkaido University)
Geometrical approach to complex dynamics
in dissipative systems
16:10-16:50 Miguel Herrero (Conplutense University of Madrid)
Lines and nets: models of filamentary structures
February 7 (Wednesday)
10:00-10:40 Marianito Rodrigo (Hiroshima University)
Exact solutions and front dynamics of
reaction-diffusion systems
10:50-11:30 Hiroshi Matano (University of Tokyo)
Travelling waves in spatially inhomogeneous media
-- the non-periodic case
11:40-12:20 Michel Chipot ( University of Zurich, Switzerland)
On the asymptotic behaviour of the solution of parabolic
problems in cylindrical domains becoming unbounded
12:20-14:00 Lunch break
14:00-14:40 Paul Fife (University of Utah, U.S.A.)
The intricacies of grain boundary movement
14:50-15:20 break
15:20-16:00 Shin-Ichiro Ei ( Yokohama City University)
Dynamics of pulse-like localized solutions in
reaction-diffusion systems
16:10-16:50 Alberto Tesei (University of Roma, Italy)
On a class of parabolic equations with variable
density and absorption
February 8 (Thursday)
10:00-10:40 Georg S. Weiss (University of Tokyo)
A singular limit in combustion: fine properties of
the free boundary
10:50-11:30 Nobuyuki Kenmochi (Chiba University)
Phase change problems arising in the Czochralski Process of
Crystal Growth
11:40-12:20 Jose Francisco Rodrigues (University of Lisbon, Portugal)
Reaction-diffusion: from systems to nonlocal equations
12.30 Closing address