Advanced Studies in Pure Mathematics 2007; 396 pp; hardcover Volume: 47 ISBN10: 493146940X ISBN13: 9784931469402 List Price: US$60 Member Price: US$48 Order Code: ASPM/47.1
 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. Volumes in this series are freely available electronically 5 years postpublication. Published for the Mathematical Society of Japan by Kinokuniya, Tokyo, and distributed worldwide, except in Japan, by the AMS. Readership Graduate students and research mathematicians interested in differential equations. Table of Contents  D. Chae  On the incompressible Euler equations and the blowup problem
 H. Kubo  Uniform decay estimates for the wave equation in an exterior domain
 T. C. Sideris  Dispersive estimates for solutions of multidimensional isotropic symmetric hyperbolic systems
 T. Akahori  A sharp bilinear restriction estimate for the sphere and its application to the waveSchrödinger system
 F. Asakura and M. Yamazaki  Survey of admissible shock waves for \(2\times 2\) systems of conservation laws with an umbilic point
 H. Fujiwara and M. Yamazaki  The Helmholtz decomposition in Sobolev and Besov spaces
 T. Hishida  Steady motions of the NavierStokes fluid around a rotating body
 M. Kadowaki, H. Nakazawa, and K. Watanabe  Nonselfadjoint perturbation of Schrödinger and wave equations
 H. Kozono, K. Minamidate, and H. Wadade  Sobolev's imbedding theorem in the limiting case with Lorentz space and BMO
 T. Kubo  On the Stokes and NavierStokes equations in a perturbed halfspace and an aperture domain
 S. Machihara  Bilinear estimates for the transport equations
 Y. Maekawa and Y. Terasawa  The NavierStokes equations with initial data in uniformly local \(L^p\)spaces
 S. Masaki  Semiclassical analysis of the Hartree equation around and before the caustic
 H. Miura  Remark on the dissipative quasigeostrophic equations in the critical space
 M. Narita  Wave maps in gravitational theory
 M. Okamura, Y. Shibata, and N. Yamaguchi  A Stokes approximation of two dimensional exterior Oseen flow near the boundary
 T. Ozawa and K. Tsutaya  On the Cauchy problem for Schrödingerimproved Boussinesq equations
 K. Pandey and A. K. Vaish  Waves in twophase flows
 H. Sasaki  Small data scattering for the KleinGordon equation with a cubic convolution
 J. Segata  On asymptotic behavior of solutions to the fourth order cubic nonlinear Schrödinger type equation
 Y. Shibata and R. Shimada  On the Stokes equation with Robin boundary condition
 Y. Shibata and S. Shimizu  \(L_p\)\(L_q\) maximal regularity of the Neumann problem for the Stokes equations
 T. Yamazaki  Diffusion phenomenon for abstract wave equations with decaying dissipation
 S. Yoshikawa  On thermoelastic systems arising in shape memory alloys
