Mathematics of nonlinear science : proceedings of an AMS special session held January 11-14, 1989
著者
書誌事項
Mathematics of nonlinear science : proceedings of an AMS special session held January 11-14, 1989
（Contemporary mathematics, 108）
American Mathematical Society, c1990
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注記
"The AMS Special Session on Mathematics of Nonlinear Science was held at the 847th Meeting of the American Mathematical Society in Phoenix, Arizona, on January 11-14, 1989" -- T.p. verso
内容説明・目次
内容説明
This volume contains the proceedings of an AMS Special Session on the Mathematics of Nonlinear Science, held in Phoenix in January 1989. This area of research encompasses a large and rapidly growing set of ideas concerning the relationship of mathematics to science, in which the fundamental laws of nature are extended beyond common sense into new areas where the dual aspects of order and chaos abound. These papers, generally analytic in nature, deal primarily with mathematical aspects of physical science and non-chaotic phenomenon. Important new areas are discussed, such as instability, global extensions of KAM theory, new ideas concerning integrable systems, bifurcation and its applications in fluids, and various aspects of gauge theory. Altogether, the topics explored here represent an excellent survey of some of the new research in the mathematics of nonlinear science.
目次
Multiple steady states in tubular chemical reactors by R. K. Alexander Two new approaches to large amplitude quasi-periodic motions of certain nonlinear Hamiltonian systems by M. S. Berger Vortices for the Ginzburg-Landau equations-the nonsymmetric case in bounded domain by Y. Y. Chen Nonlinear stability and bifurcation in Hamiltonian systems with symmetry by A. Szeri and P. Holmes Nonlinear resonance in inhomogeneous systems of conservation laws by E. Isaacson and B. Temple Bifurcation and stability in rotating, plane Couette-Poiseuille flow by G. H. Knightly and D. Sather Bifurcations of central configurations in the $N$-body problem by K. R. Meyer and D. S. Schmidt Leapfrogging of vortex filaments in an ideal fluid by M. S. Berger and J. Nee Calculation of sharp shocks using Sobolev gradients by J. W. Neuberger Monodromy preserving deformation of the Dirac operator acting on the hyperbolic plane by J. Palmer and C. A. Tracy Bifurcation from equilibria for certain infinite-dimensional dynamical systems by M. S. Berger and M. Schechter On dynamics of discrete and continuous $\sigma$-models (chiral fields) with values in Riemannian manifolds by V. Shubov Direct study for some nonlinear elliptic control problems by S. Stojanovic.
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