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 ContentsWeak KAM pairs and Monge-Kantorovich 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 forward-backward 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 one-dimensional 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 Gierer-Meinhardt 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 competition-diffusion system by Y. Kan-on Global solutions to a one-dimensional 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 reaction-diffusion 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 non-local term by T. Miyasita A variational approach to self-similar solutions for semilinear heat equations by Y. Naito Determination of the limit sets of trajectories of the Gierer-Meinhardt system without diffusion by W.-M. Ni, K. Suzuki, and I. Takagi Asymptotic form of solutions of the Tadjbakhsh-Odeh variational problem by S. Okabe Global existence of a reaction-diffusion-advection system by K. Osaki Blowup solutions to some systems related to biology by T. Senba On the role of the source terms in an activator-inhibitor system proposed by Gierer and Meinhardt by K. Suzuki and I. Takagi Concentration phenomena in the conformal Brezis-Nirenberg problem by F. Takahashi Interfacial analysis to a chemotaxis model equation with growth in three dimension by T. Tsujikawa.
