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Asymptotic Analysis and Singularities: Hyperbolic and Dispersive PDEs and Fluid Mechanics

Mathematical Society of Japan/ American Mathematical Society
Number of Pages: 
Date Received: 
Friday, December 7, 2007
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Hideo Kozono, Takayoshi Ogawa, Kazunaga Tanaka, Yoshio Tsutsumi, and Eiji Yanagida, editors
Advanced Studies in Pure Mathematics 47-1
Publication Date: 
  • D. Chae -- On the incompressible Euler equations and the blow-up problem
  • H. Kubo -- Uniform decay estimates for the wave equation in an exterior domain
  • T. C. Sideris -- Dispersive estimates for solutions of multi-dimensional isotropic symmetric hyperbolic systems
  • T. Akahori -- A sharp bilinear restriction estimate for the sphere and its application to the wave-Schrödinger 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 Navier-Stokes fluid around a rotating body
  • M. Kadowaki, H. Nakazawa, and K. Watanabe -- Non-selfadjoint 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 Navier-Stokes equations in a perturbed half-space and an aperture domain
  • S. Machihara -- Bilinear estimates for the transport equations
  • Y. Maekawa and Y. Terasawa -- The Navier-Stokes equations with initial data in uniformly local $L^p$spaces
  • S. Masaki -- Semi-classical analysis of the Hartree equation around and before the caustic
  • H. Miura -- Remark on the dissipative quasi-geostrophic 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 Schrödinger-improved Boussinesq equations
  • K. Pandey and A. K. Vaish -- Waves in two-phase flows
  • H. Sasaki -- Small data scattering for the Klein-Gordon 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
Publish Book: 
Modify Date: 
Thursday, December 13, 2007