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

• On the Incompressible Euler Equations and the Blow-Up Problem (D Chae)
• Decay Estimates for the Wave Equation in an Exterior Domain (H Kubo)
• Dispersive Estimates for Solutions of Multi-Dimensional Isotropic Symmetric Hyperbolic Systems (T C Sideris)
• A Sharp Bilinear Restriction Estimate for the Sphere and Its Application to the Wave-Schrödinger System (T Akahori)
• Survey of Admissible Shock Waves for 2x2 Systems of Conservation Laws with an Umbilic Point (F Asakura & M Yamazaki)
• The Helmholtz Decomposition in Sobolev and Besov Spaces (H Fujiwara & M Yamazaki)
• Steady Motions of the Navier–Stokes Fluid Around a Rotating Body (T Hishida)
• Non-Selfadjoint Perturbation of Schrödinger and Wave Equations (M Kadowaki, H Nakazawa & K Watanabe)
• Sobolev's Imbedding Theorem in the Limiting Case with Lorentz Space and BMO (H Kozono, K Minamidate & H Wadade)
• On the Stokes and Navier–Stokes Equations in a Perturbed Half-Space and an Aperture Domain (T Kubo)
• Bilinear Estimates for the Transport Equations (S Machihara)
• On the Navier–Stokes Equations with Initial Data Nondecaying at Space Infinity (Y Maekawa & Y Terasawa)
• Semi-Classical Analysis of the Hartree Equation Around and Before the Caustic (S Masaki)
• Remark on the Dissipative Quasi-Geostrophic Equations in the Critical Space (H Miura)
• Wave Maps in Gravitational Theory (M Narita)
• A Stokes Approximation of Two Dimensional Exterior Oseen Flow Near the Boundary (M Okamura, Y Shibata & N Yamaguchi)
• On the Cauchy Problem for Schrödinger-Improved Boussinesq Equations (T Ozawa & K Tsutaya)
• Waves in Two-Phase Flows (K Pandey & A K Vaish)
• Small Data Scattering for the Klein–Gordon Equation with a Cubic Convolution (H Sasaki)
• On Asymptotic Behavior of Solutions to the Fourth Order Cubic Nonlinear Schrödinger Type Equation (J Segata)
• On the Stokes Equation with Robin Boundary Condition (Y Shibata & R Shimada)
• L_p–L_q Maximal Regularity of the Neumann Problem for the Stokes Equations in a Bounded Domain (Y Shibata & S Shimizu)
• Diffusion Phenomenon for Abstract Wave Equations with Decaying Dissipation (T Yamazaki)
• On Thermoelastic Systems Arising in Shape Memory Alloys (S Yoshikawa)