Trends in Applications of Mathematics to Mechanics [E-Book] : Proceedings of the 7th Symposium, Held in Wassenaar, The Netherlands, December 7–11, 1987 / edited by Johannes F. Besseling, Wiktor Eckhaus.
Besseling, Johannes F., (editor)
Eckhaus, Wiktor, (editor)
Berlin, Heidelberg : Springer, 1988
IX, 361 p. online resource.
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Table of Contents:
  • I Perturbation Methods and Applications
  • Asymptotic Analysis of Stabilizing Fronts
  • Boundary Layer Analysis for Some Problems of Singular Domain Perturbation
  • Global Behaviour of Very Thin Cellular Structures. Applications to Networks
  • Nonlinear Diffusion in Stellar Magnetic Loops
  • Perturbation Solutions of Magnetomechanical Signal Processing Devices
  • An Asymptotic Theory for a System of Weakly Nonlinear Wave Equations
  • II Instability, Bifurcations and Transition to Chaos
  • Quasi-Codimension 3 Bifurcation of Invariant T2 Tori for Maps
  • Generalized Lieb-Thirring Inequalities and the Dimension of Attractors Associated to the Ginzburg-Landau p.d.e.
  • Low Order Spectral Models in Hydrodynamics
  • Asymptotical Behaviour of Solutions to Quasi-Linear Schrödinger Equations
  • Lyapounov Stability of Electro-Magneto-Elastic Systems
  • Criticality of an Exothermic Reaction-Diffusion System of nth-Order
  • Flow Induced Bifurcations to Three-Dimensional Motions of Tubes with an Elastic Support
  • Local and Global Bifurcations of a Three Particle System
  • III Multibody Dynamics and Control
  • Multibody System Dynamics Mathematical Theory and Industrial Applications
  • A Finite Element Dynamic Analysis of Robotic Manipulators with Flexible Links
  • IV Mechanics and Mathematics of Non-Classical Materials
  • Mathematical Modelling for Non-Classical Materials
  • Nonstandard Modelling of Certain Quasi-Stationary Debonding Processes in Laminates
  • Multilevel Model of Micro-Macro Interactions and Residual Stresses in Physical Systems
  • Hemivariational Inequalities and Their Applications to Composite Material Structures
  • Poiseuille Flows of Incompressible Simple Fluids
  • Properly Posed Boundary Condition and the Existence Theorem for Supefluid He4
  • Mathematical Aspects of the Theory of Viscoelasticity
  • V New Interactions of Mathematics and Mechanics
  • On Saint-Venant’s Problem and Saint-Venant’s Principle in Nonlinear Elasticity
  • Hypermembrane Shells
  • On the Problem of Constructing the Mathematical Theory of Plates and Shells
  • Application of Extremum Principles to Mixed Boundary-Value Problems in Non-linear Elasticity
  • Application of Bivariate B-Splines to a Plate Bending Problem
  • Entropy and Dynamical Stability — a Method Due to Lagrange-Formalism as Applied to Thermodynamics of Irreversible Processes
  • A Thermodynamic Theory for Turbulence
  • Approach to Lower Dimensional Dynamical Systems: Thermodynamical Aspects
  • A Functional Analytic Approach to an Optimization Problem of Hydrodynamic Propulsion
  • Nonlinear Problems in the Kinetic Theory of Gases
  • Index of Contributors.