Mathematics of Nonlinear Science: Proceedings of an AMS Special Session Held January 11-14, 1989Melvyn Stuart Berger Contains the proceedings of an AMS Special Session on the Mathematics of Nonlinear Science, held in Phoenix in January 1989. The 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. |
Contents
Multiple steady states in tubular chemical reactors | 1 |
Two new approaches to large amplitude quasiperiodic motions of certain nonlinear Hamiltonian systems | 11 |
Vortices for the GinzburgLandau equationsthe nonsymmetric case in bounded domain | 19 |
Nonlinear stability and bifurcation in Hamiltonian systems with symmetry | 33 |
Nonlinear resonance in inhomogeneous systems of conservation laws | 63 |
Bifurcation and stability in rotating plane CouettePoiseuille flow | 79 |
Bifurcations of central configurations in the N body problem | 93 |
Leapfrogging of vortex filaments in an ideal fluid | 103 |
Calculation of sharp shocks using Sobolev gradients | 111 |
Monodromy preserving deformation of the Dirac operator acting on the hyperbolic plane | 119 |
Bifurcation from equilibria for certain infinitedimensional dynamical systems | 133 |
On dynamics of discrete and continuous σmodels chiral fields with values in Riemannian manifolds | 139 |
Direct study for some nonlinear elliptic control problems | 145 |
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Mathematics of Nonlinear Science: Proceedings of an AMS Special Session Held ... Melvyn Stuart Berger No preview available - 1990 |
Common terms and phrases
1990 American Mathematical a.e. in Q algebraic American Mathematical Society analysis apply Arnold function axial bifurcating branch bifurcation problem boundary conditions bounded branch of equilibria central configuration chemical reactor Classification 1985 Revision coefficient conservation laws constant Contemporary Mathematics Volume coordinates corresponding critical point defined denotes depending dimensional Dirac operator Editors eigenvalue elliptic equilibrium exists fluid geometry Ginzburg–Landau equations Hamiltonian system Hilbert space holonomy holonomy fields hyperbolic infinite infinite-dimensional Ising model Lemma linear Lipschitz continuous M. S. Berger Math Mathematics Subject Classification Mathematics Volume 108 Mech method N-body problem nonlinear nonlinear stability obtain optimal control Painlevé paper parameter partial differential equations periodic solutions primary branch proof publication elsewhere result Riemann problem Riemannian manifold satisfies scalar second variation singular points smooth steady structure function Subject Classification 1985 swirling flows symmetry system of conservation Theorem theory unique variables vector velocity vortices wavenumber wavenumber cut waves zero