Trends in Applications of Mathematics to Mechanics

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.