No.1178

2000/05/30〜2000/06/02

柳田　英二, 森田　善久

Eiji Yanagida, Yoshihisa Morita

目　次

1. Pattern formation described by the Swift-Hohenberg equation (Nonlinear Diffusive Systems : Dynamics and Asymptotics)--------------1

　　　　Mathematical Institute, Leiden University/Department of Mathematics, University of Pittsburgh　　　Peletier,L.A./Troy,W.C.

　

2. Pulses, kinks and fronts in the Gray-Scott model (Nonlinear Diffusive Systems : Dynamics and Asymptotics)------------------------16

　　　　Mathematical Institute, Leiden University　　　Peletier,L.A.

　

3. A Singular Limit arising in Combustion Theory : Identification of the Limit (Nonlinear Diffusive Systems : Dynamics and Asymptotics)---29

　　　　東京大学数理科学研究科　　　Weiss,G.S.

　

4. Asymptotic Behavior of Solutions to One-phase Stefan Problems for Sublinear Heat Equations (Nonlinear Diffusive Systems : Dynamics and Asymptotics)---36

　　　　岐阜大学教育学部/徳島大学工学部/一橋大学経済学部/早稲田大学理工学部　　　愛木 豊彦/今井 仁司/石村 直之/山田 義雄　(Aiki,Toyohiko/Imai,Hitoshi/Ishimura,Naoyuki/Yamada,Yoshio)

　

5. EQUILIBRIA AND TRAVELING WAVES FOR BISTABLE EQUATIONS WITH NON-LOCAL AND DISCRETE DISSIPATION (Nonlinear Diffusive Systems : Dynamics and Asymptotics)---48

　　　　Department of Mathematics, Brigham Young University/Department of Mathematics, University of Pittsburgh/Department of Mathematics, Brigham Young University　　　Bates,Peter W./Chen,Xinfu/Chmaj,Adam

　

6. A General Criterion for the Eckhaus Instability in Gradient/Skew-Gradient Systems (Nonlinear Diffusive Systems : Dynamics and Asymptotics)---72

　　　　和歌山大学システム工学部/東北大学理学研究科　　　桑村 雅隆/柳田 英二　(Kuwamura,Masataka/Yanagida,Eiji)

　

7. Pulse Dynamics of Reaction-Diffusion Systems (Nonlinear Diffusive Systems : Dynamics and Asymptotics)----------------------------87

　　　　横浜市立大学総合理学研究科　　　栄 伸一郎　(Ei,Shin-Ichiro)

　

8. Mathematical analysis for a simplified system of chemotaxis (Nonlinear Diffusive Systems : Dynamics and Asymptotics)-------------95

　　　　大阪大学理学研究科　　　鈴木 貴　(Suzuki,Takashi)

　

9. Recent Results on the Onset of Superconductivity : Domains with Corners (Nonlinear Diffusive Systems : Dynamics and Asymptotics)---118

　　　　Department of Mathematics, Indiana University　　　Sternberg,Peter

　

10. WELL-POSEDNESS OF A FREE BOUNDARY PROBLEM IN THE LIMIT OF SLOW-DIFFUSION FAST-REACTION SYSTEMS (Nonlinear Diffusive Systems : Dynamics and Asymptotics)---129

　　　　Department of Mathematics, University of Pittsburgh/Department of Mathematics, University of Pittsburgh　　　Chen,Xinfu/Gao,Congyu

　

11. MATHEMATICAL ANALYSIS OF TWO-PHASE FIELD MODEL WITH SURFACE TENSION EFFECT (Nonlinear Diffusive Systems : Dynamics and Asymptotics)---144

　　　　北海道大学理学研究科　　　利根川 吉広　(Tonegawa,Yoshihiro)

　

12. Smooth Solutions of Porous Medium Equations (Nonlinear Diffusive Systems : Dynamics and Asymptotics)---------------------------150

　　　　早稲田大学理工学部/早稲田大学理工学部　　　大谷 光春/杉山 由恵　(Otani,Mitsuharu/Sugiyama,Yoshie)

　

13. GLOBAL CONTINUATION BEYOND SINGULARITY ON THE BOUNDARY (Nonlinear Diffusive Systems : Dynamics and Asymptotics)----------------162

　　　　Department of Mathematics, National Taiwan Normal University　　　Guo,Jong-Shenq

　

14. MULTIPLE COEXISTENCE STATES FOR LOTKA-VOLTERRA COMPETITION MODEL WITH DIFFUSION (Nonlinear Diffusive Systems : Dynamics and Asymptotics)---167

　　　　早稲田大学理工学部　　　山田 義雄　(Yamada,Yoshio)

　

15. Interface Equations with Nonlocal Effects (Nonlinear Diffusive Systems : Dynamics and Asymptotics)-----------------------------181

　　　　広島大学理学研究科　　　坂元 国望　(Sakamoto,Kunimochi)