Description
Book SynopsisThis 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
Table of ContentsOn the incompressible Euler equations and the blow-up problem by D. Chae Uniform decay estimates for the wave equation in an exterior domain by H. Kubo Dispersive estimates for solutions of multi-dimensional isotropic symmetric hyperbolic systems by T. C. Sideris A sharp bilinear restriction estimate for the sphere and its application to the wave-Schrodinger system by T. Akahori Survey of admissible shock waves for $2\times 2$ systems of conservation laws with an umbilic point by F. Asakura and M. Yamazaki The Helmholtz decomposition in Sobolev and Besov spaces by H. Fujiwara and M. Yamazaki Steady motions of the Navier-Stokes fluid around a rotating body by T. Hishida Non-selfadjoint perturbation of Schrodinger and wave equations by M. Kadowaki, H. Nakazawa, and K. Watanabe Sobolev's imbedding theorem in the limiting case with Lorentz space and BMO by H. Kozono, K. Minamidate, and H. Wadade On the Stokes and Navier-Stokes equations in a perturbed half-space and an aperture domain by T. Kubo Bilinear estimates for the transport equations by S. Machihara The Navier-Stokes equations with initial data in uniformly local $L^p$spaces by Y. Maekawa and Y. Terasawa Semi-classical analysis of the Hartree equation around and before the caustic by S. Masaki Remark on the dissipative quasi-geostrophic equations in the critical space by H. Miura Wave maps in gravitational theory by M. Narita A Stokes approximation of two dimensional exterior Oseen flow near the boundary by M. Okamura, Y. Shibata, and N. Yamaguchi On the Cauchy problem for Schrodinger-improved Boussinesq equations by T. Ozawa and K. Tsutaya Waves in two-phase flows by K. Pandey and A. K. Vaish Small data scattering for the Klein-Gordon equation with a cubic convolution by H. Sasaki On asymptotic behavior of solutions to the fourth orderr cubic nonlinear Schrodinger type equation by J. Segata On the Stokes equation with Robin boundary condition by Y. Shibata and R. Shimada $L_p$-$L_q$ maximal regularity of the Neumann problem for the Stokes equations by Y. Shibata and S. Shimizu Diffusion phenomenon for abstract wave equations with decaying dissipation by T. Yamazaki On thermoelastic systems arising in shape memory alloys by S. Yoshikawa.
