1st Edition
Trends in Applications of Mathematics to Mechanics
336 Pages
by
Chapman & Hall
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:
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
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
Biography
Gerard Iooss, Olivier Gues, Anne Nouri
