Trends in Applications of Mathematics to Mechanics

1. Front Matter

   Pages I-IX

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2. Perturbation Methods and Applications

   1. Front Matter

      Pages 1-1

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   2. Asymptotic Analysis of Stabilizing Fronts

      • A. van Harten

      Pages 2-16

   3. Boundary Layer Analysis for Some Problems of Singular Domain Perturbation

      • H. J. Weinitschke

      Pages 17-25

   4. Global Behaviour of Very Thin Cellular Structures. Applications to Networks

      • D. Cioranescu, J. Saint Jean Paulin

      Pages 26-34

   5. Nonlinear Diffusion in Stellar Magnetic Loops

      • F. Verhulst

      Pages 35-43

   6. Perturbation Solutions of Magnetomechanical Signal Processing Devices

      • G. A. Maugin, A.N Abd-Alla

      Pages 44-52

   7. An Asymptotic Theory for a System of Weakly Nonlinear Wave Equations

      • W. T. van Horssen

      Pages 53-61

3. Instability, Bifurcations and Transition to Chaos

   1. Front Matter

      Pages 63-63

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   2. Quasi-Codimension 3 Bifurcation of Invariant T2 Tori for Maps

      • G. Iooss, J. E. Los

      Pages 64-78

   3. Generalized Lieb-Thirring Inequalities and the Dimension of Attractors Associated to the Ginzburg-Landau p.d.e.

      • J.-M. Ghidaglia

      Pages 79-85

   4. Low Order Spectral Models in Hydrodynamics

      • A. Doelman, J. Grasman

      Pages 86-97

   5. Asymptotical Behaviour of Solutions to Quasi-Linear Schrödinger Equations

      • H. Lange

      Pages 98-107

   6. Lyapounov Stability of Electro-Magneto-Elastic Systems

      • J. B. Alblas

      Pages 108-118

   7. Criticality of an Exothermic Reaction-Diffusion System of nth-Order

      • D. Meinköhn

      Pages 119-127

   8. Flow Induced Bifurcations to Three-Dimensional Motions of Tubes with an Elastic Support

      • A. Steindl, H. Troger

      Pages 128-138

   9. Local and Global Bifurcations of a Three Particle System

      • S. A. van Gils, E. van Groesen, T. P. Valkering

      Pages 139-146

4. Multibody Dynamics and Control

   1. Front Matter

      Pages 147-147

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   2. Multibody System Dynamics Mathematical Theory and Industrial Applications

      • W. Schiehlen

      Pages 148-159

   3. A Finite Element Dynamic Analysis of Robotic Manipulators with Flexible Links

      • J. B. Jonker, C. Keus

      Pages 160-171

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 perturbation methods and applications, instability, bifurcations and transition to chaos, multibody dynamics and control, mechanics and mathematics of non-classical materials, and new interactions of mathematics and mechanics. The book addresses scientists and engineers working in these areas including those interested in applied mathematical analysis.

• asymptotic analysis
• bifurcation
• chaos
• diffusion
• dynamical systems
• dynamics
• elasticity
• mechanics
• multibody system
• stability
• standard model
• thermodynamics
• turbulence
• wave equation

• Technological University, Delft, The Netherlands

  Johannes F. Besseling

• Mathematisch Instituut, Rijksuniversiteit Utrecht, Utrecht, The Netherlands

  Wiktor Eckhaus

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