Trends in Applications of Mathematics to Mechanics

Trends in Applications of Mathematics to Mechanics

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The International Society for the Interaction of Mechanics and Mathematics has a long-standing and respected tradition of hosting symposia that provide a forum for disseminating new developments and methods. Trends in Applications of Mathematics to Mechanics represents the proceedings of the eleventh such symposium, held at the University of Nice in May 1998. Comprising invited lectures and refereed papers, this volume includes recent results that open perspectives on fields in mechanics and their methodological counterparts in mathematics. It also surveys important advances in the areas where mathematics and mechanics interact. The applications addressed include:show more

Product details

  • Hardback | 328 pages
  • 178 x 256 x 24mm | 780.19g
  • Taylor & Francis Inc
  • Chapman & Hall/CRC
  • Boca Raton, FL, United States
  • English
  • 2003.
  • 158488035X
  • 9781584880356

Table of contents

ELASTICITY-PLASTICITY Asymptotic Behavior of the Eigenvalues of a Plate Problem, A. Campbell and S. Nazarov On the Torsion of Soft Cylindrical Shells, A. DiCarlo and P. Nardinocchi On the Uniqueness of the Null-Traction Boundary Value Problem in Nonlinear Elastoplastics, R Knops Free Boundary Problems arising from Spectral and Path-Following Analysis in the Mechanics of Elastic-Plastic Solids, A. Leger and A. El Loulani GRANULAR, POROUS, AND HOMOGENIZED MEDIA On a Stationary Axisymmetic Filtration Problem Under Large Deformations of the Skeleton, B. Albers and K. Wilmanski Macroscopic Modeling of Cosserat Media, G. de Felice and N. Rizzi On the Stucture and Shape of Sandpiles, H.J. Herrmann CONSTITUTIVE EQUATIONS AND FUNDAMENTAL MECHANICS G-Defining Equations: Applications to Nonlinear Differential Equations, O. Kaptsov Liu Technique for Exploiting the Dissipation Inequatlity in Case of Constratined State Space Variables, W. Muschik, H. Herrmann, G. Ruckner, and C. Papenfuss On the Internal Constraints and the Derivation of a Linear Plate Theory, P. Podio-Guidugli Hamiltonian Versus Lagrangian Forms, C. Trimarco THERMODYNAMICS AND KINETIC THEORY Convergence towards the Thermodynamical Equilibrium, L. Desvillettes Hyperbolic Heat Conduction, W. Dreyer and M. Kunik Non-Equilibrium Thermodynamics and the Dynamics of Particles, J. Verhas Towards Extended Thermodynamics of Porous and Granular Materials, K. Wilmanski PHASE TRANSITION Global Existence and Continuous Dependence of Phase Transitions in Hyperbolic Conservation Laws, R. Colombo and A. Corli Approximation of Quasistatic Processes with Friction by Incremental Problems in the Theory of Phase Transitions, F. Theil WATER WAVES Models for Long-Wave Instability Due to a Resonance between Two Waves, R. Grimshaw Hamiltonian Spatial Dynamics Methods for Two- and Three-Dimensional Steady Waves, M. Groves On the Symmetry Theory for Stokes Waves of Finite and Infinite Depth, J.F. Toland NONLINEAR STABILITY On Oscillatory Modes in Viscous Noncompressible Liquid between Two Counter-Rotating Permeable Cylinders, V. Kolesov and L. Shapakidze Pattern Formation on Large Domains and Diffusive Mixing, A. Mielke Aspects of Modulational Dynamics-Diffusive versus Pulse Behavior, G. Schneider FLOWS IN THIN DOMAINS Asymptotic Behavior of a Fluid in a Time Varying, G. Bayada, M. Chambat, and I. Ciuperca Modelization of Shallow Lakes and Seas, D. Bresch, J. Lemoine, and J. Simon Correctors for Reynolds Equations Describing the Process of Lubrication of a Rotating Shaft, A. Duvmjak and E. Marusic-Paloka MISCELLANEOUS FLUID FLOWS Comparaison du Regime Hydrostatique des Fluides Imcompressibles Non-Visqueux et du Regime Quasineutre des Plasmas, Y Brenier On a Fluid-Structure Interaction Problem, F. Flori and P. Orenga Symmetric Form of Governing Equations for Capillary Fluids, S. Gavrilyuk and H. Gouin On the Euler Flows with Singular Initial Data, C. Marchioro On the Stability of a Steady State of a Viscous Compressible Fluid, M. Padulashow more