Trends in Applications of Mathematics to Mechanics: 1st Edition (Hardback) book cover

Trends in Applications of Mathematics to Mechanics

1st Edition

Edited by Gerard Iooss, Olivier Gues, anne Nouri

Chapman and Hall/CRC

328 pages

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Hardback: 9781584880356
pub: 1999-10-22
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Description

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:

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. Léger 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. Rückner, 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. Verhás

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 Régime Hydrostatique des Fluides Imcompressibles Non-Visqueux et du Régime 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. Padula

About the Series

Monographs and Surveys in Pure and Applied Mathematics

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Subject Categories

BISAC Subject Codes/Headings:
MAT003000
MATHEMATICS / Applied
SCI041000
SCIENCE / Mechanics / General