Trends in Applications of Mathematics to Mechanics [EBook] : Proceedings of the 7th Symposium, Held in Wassenaar, The Netherlands, December 7–11, 1987 / edited by Johannes F. Besseling, Wiktor Eckhaus.
Trends in Applications of Mathematics to Mechanics [EBook] : Proceedings of the 7th Symposium, Held in Wassenaar, The Netherlands, December 7–11, 1987 / edited by Johannes F. Besseling, Wiktor Eckhaus.
In many areas of mechanics the interplay between mathematics and physics is crucial for understanding not only underlying principles but also practical applications. This is particularly the case in hydrodynamics and elasticity. Over thirty articles in this volume discuss various aspects including p...
Personal Name(s):  Besseling, Johannes F., (editor) 

Eckhaus, Wiktor, (editor)  
Imprint: 
Berlin, Heidelberg :
Springer,
1988

Physical Description: 
IX, 361 p. online resource. 
Note: 
englisch 
ISBN: 
9783642739330 
DOI: 
10.1007/9783642739330 
Subject (LOC):  
Full Text 
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
 QuasiCodimension 3 Bifurcation of Invariant T2 Tori for Maps
 Generalized LiebThirring Inequalities and the Dimension of Attractors Associated to the GinzburgLandau p.d.e.
 Low Order Spectral Models in Hydrodynamics
 Asymptotical Behaviour of Solutions to QuasiLinear Schrödinger Equations
 Lyapounov Stability of ElectroMagnetoElastic Systems
 Criticality of an Exothermic ReactionDiffusion System of nthOrder
 Flow Induced Bifurcations to ThreeDimensional 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 NonClassical Materials
 Mathematical Modelling for NonClassical Materials
 Nonstandard Modelling of Certain QuasiStationary Debonding Processes in Laminates
 Multilevel Model of MicroMacro 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 SaintVenant’s Problem and SaintVenant’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 BoundaryValue Problems in Nonlinear Elasticity
 Application of Bivariate BSplines to a Plate Bending Problem
 Entropy and Dynamical Stability — a Method Due to LagrangeFormalism 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.