1. Asymptotic analysis and singularities [2007]
 Tokyo : Mathematical Society of Japan, c2007.
 Description
 Book — 2 v. (805 p.) : ill. ; 24 cm.
 Summary

 On the incompressible Euler equations and the blowup problem by D. Chae Uniform decay estimates for the wave equation in an exterior domain by H. Kubo Dispersive estimates for solutions of multidimensional isotropic symmetric hyperbolic systems by T. C. Sideris A sharp bilinear restriction estimate for the sphere and its application to the waveSchrodinger 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 NavierStokes fluid around a rotating body by T. Hishida Nonselfadjoint 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 NavierStokes equations in a perturbed halfspace and an aperture domain by T. Kubo Bilinear estimates for the transport equations by S. Machihara The NavierStokes equations with initial data in uniformly local $L^p$spaces by Y. Maekawa and Y. Terasawa Semiclassical analysis of the Hartree equation around and before the caustic by S. Masaki Remark on the dissipative quasigeostrophic 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 Schrodingerimproved Boussinesq equations by T. Ozawa and K. Tsutaya Waves in twophase flows by K. Pandey and A. K. Vaish Small data scattering for the KleinGordon 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.
 (source: Nielsen Book Data)
 Weak KAM pairs and MongeKantorovich duality by P. Bernard and B. Buffoni Hydrodynamic limit and nonlinear PDEs with singularities by T. Funaki PDE and differential geometry in study of motion of elastic wires by N. Koiso Evolution of stable phases in forwardbackward parabolic equations by C. Mascia, A. Terracina, and A. Tesei Analogies between superconductors and liquid crystals: Nucleation and critical fields by X.B. Pan Method of the blowup envelope and applications by T. Suzuki Numerical study and examples on singularities of solutions to anisotropic crystalline curvature flows of nonconvex polygonal curves by C. Hirota, T. Ishiwata, and S. Yazaki On certain onedimensional elliptic systems under different growth conditions at respective infinities by M. Iida, K. Nakashima, and E. Yanagida Stability analysis for a stripe solution in the GiererMeinhardt system by K. Ikeda Perturbation of structures of radial solutions to elliptic equations by Y. Kabeya On the bifurcation structure of positive stationary solutions for a competitiondiffusion system by Y. Kanon Global solutions to a onedimensional nonlinear parabolic system modeling colonial formation by chemotactic bacteria by K. P. P. Htoo, M. Mimura, and I. Takagi Existence of standing waves for the nonlinear Schrodinger equation with double power nonlinearity and harmonic potential by H. Kikuchi The Hamiltonian formalism in reactiondiffusion systems by M. Kuwamura Speed estimate for a periodic rotating wave in an undulating zone on the sphere by B. Lou On the dynamical system of a parabolic equation with nonlocal term by T. Miyasita A variational approach to selfsimilar solutions for semilinear heat equations by Y. Naito Determination of the limit sets of trajectories of the GiererMeinhardt system without diffusion by W.M. Ni, K. Suzuki, and I. Takagi Asymptotic form of solutions of the TadjbakhshOdeh variational problem by S. Okabe Global existence of a reactiondiffusionadvection system by K. Osaki Blowup solutions to some systems related to biology by T. Senba On the role of the source terms in an activatorinhibitor system proposed by Gierer and Meinhardt by K. Suzuki and I. Takagi Concentration phenomena in the conformal BrezisNirenberg problem by F. Takahashi Interfacial analysis to a chemotaxis model equation with growth in three dimension by T. Tsujikawa.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
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