Advanced Studies in Pure Mathematics 2007; 410 pp; hardcover Volume: 47 ISBN10: 4931469418 ISBN13: 9784931469419 List Price: US$62 Member Price: US$49.60 Order Code: ASPM/47.2
 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  P. Bernard and B. Buffoni  Weak KAM pairs and MongeKantorovich duality
 T. Funaki  Hydrodynamic limit and nonlinear PDEs with singularities
 N. Koiso  PDE and differential geometry in study of motion of elastic wires
 C. Mascia, A. Terracina, and A. Tesei  Evolution of stable phases in forwardbackward parabolic equations
 X.B. Pan  Analogies between superconductors and liquid crystals: Nucleation and critical fields
 T. Suzuki  Method of the blowup envelope and applications
 C. Hirota, T. Ishiwata, and S. Yazaki  Numerical study and examples on singularities of solutions to anisotropic crystalline curvature flows of nonconvex polygonal curves
 M. Iida, K. Nakashima, and E. Yanagida  On certain onedimensional elliptic systems under different growth conditions at respective infinities
 K. Ikeda  Stability analysis for a stripe solution in the GiererMeinhardt system
 Y. Kabeya  Perturbation of structures of radial solutions to elliptic equations
 Y. Kanon  On the bifurcation structure of positive stationary solutions for a competitiondiffusion system
 K. P. P. Htoo, M. Mimura, and I. Takagi  Global solutions to a onedimensional nonlinear parabolic system modeling colonial formation by chemotactic bacteria
 H. Kikuchi  Existence of standing waves for the nonlinear Schrödinger equation with double power nonlinearity and harmonic potential
 M. Kuwamura  The Hamiltonian formalism in reactiondiffusion systems
 B. Lou  Speed estimate for a periodic rotating wave in an undulating zone on the sphere
 T. Miyasita  On the dynamical system of a parabolic equation with nonlocal term
 Y. Naito  A variational approach to selfsimilar solutions for semilinear heat equations
 W.M. Ni, K. Suzuki, and I. Takagi  Determination of the limit sets of trajectories of the GiererMeinhardt system without diffusion
 S. Okabe  Asymptotic form of solutions of the TadjbakhshOdeh variational problem
 K. Osaki  Global existence of a reactiondiffusionadvection system
 T. Senba  Blowup solutions to some systems related to biology
 K. Suzuki and I. Takagi  On the role of the source terms in an activatorinhibitor system proposed by Gierer and Meinhardt
 F. Takahashi  Concentration phenomena in the conformal BrezisNirenberg problem
 T. Tsujikawa  Interfacial analysis to a chemotaxis model equation with growth in three dimension
