edited by Hideo Kozono (Tohoku University, Japan) , Takayoshi Ogawa (Tohoku University, Japan) , Eiji Yanagida (Tohoku University, Japan) , Kazunaga Tanaka (Waseda University, Japan) , & Yoshio Tsutsumi (Kyoto University, Japan)

This volume is the proceedings of the 14th MSJ International Research Institute “Asymptotic Analysis and Singularity”, which was held at Sendai, Japan in July 2005. The proceedings contain survey papers and original research papers on nonlinear partial differential equations, dynamical systems, calculus of variations and mathematical physics.

Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets except North America

• Weak KAM Pairs and Monge–Kantorovich Duality (P Bernard & B Buffoni)
• Hydrodynamic Limit and Nonlinear PDEs with Singularities (T Funaki)
• PDE and Differential Geometry in Study of Motion of Elastic Wires (N Koiso)
• Evolution of Stable Phases in Forward–Backward Parabolic Equations (C Mascia, A Terracina & A Tesei)
• Analogies Between Superconductors and Liquid Crystals: Nucleation and Critical Fields (X-B Pan)
• Method of the Blowup Envelope and Applications (T Suzuki)
• Numerical Study and Examples on Singularities of Solutions to Anisotropic Crystalline Curvature Flows of Nonconvex Polygonal Curves (C Hirota, T Ishiwata & S Yazaki)
• On Certain One-Dimensional Elliptic Systems Under Different Growth Conditions at Respective Infinities (M Iida, K Nakashima & E Yanagida)
• Stability Analysis for a Stripe Solution in the Gierer–Meinhardt System (K Ikeda)
• Perturbation of Structures of Radial Solutions to Elliptic Equations (Y Kabeya)
• On the Bifurcation Structure of Positive Stationary Solutions for a Competition–Diffusion System (Y Kan-On)
• Global Solutions to a One-Dimensional Nonlinear Parabolic System Modeling Colonial Formation by Chemotactic Bacteria (K P P Htoo, M Mimura & I Takagi)
• Existence of Standing Waves for the Nonlinear Schrödinger Equation with Double Power Nonlinearity and Harmonic Potential (H Kikuchi)
• The Hamiltonian Formalism in Reaction–Diffusion Systems (M Kuwamura)
• Speed Estimate for a Periodic Rotating Wave in an Undulating Zone on the Sphere (B Lou)
• On the Dynamical System of a Parabolic Equation with Non-Local Term (T Miyasita)
• A Variational Approach to Self-Similar Solutions for Semilinear Heat Equations (Y Naito)
• Determination of the Limit Sets of Trajectories of the Gierer–Meinhardt System without Diffusion (W-M Ni, K Suzuki & I Takagi)
• Asymptotic Form of Solutions of the Tadjbakhsh–Odeh Variational Problem (S Okabe)
• Global Existence of a Reaction–Diffusion–Advection System (K Osaki)
• Blowup Solutions to Some Systems Related to Biology (T Senba)
• On the Role of the Source Terms in an Activator–Inhibitor System Proposed by Gierer and Meinhardt (K Suzuki & I Takagi)
• Concentration Phenomena in the Conformal Brezis–Nirenberg Problem (F Takahashi)
• Interfacial Analysis to a Chemotaxis Model Equation with Growth in Three Dimension (T Tsujikawa)