Proceedings, "WASCOM 99": 10th Conference on Waves and Stability in Continuous Media, Vulcano (Eolie Islands), Italy, 7-12 June 1999

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World Scientific, 2001 - 511 páginas
Mathematical problems concerning time evolution of solutions related to nonlinear systems modelling dynamics of continuous media are of great interest both in wave propagation and in stability problems. During the last few decades many striking developments have taken place, especially in connection with the effects of nonlinearity of the equations describing physical situations.

The articles in this book have been written by reputable specialists in the field and represent a valuable contribution to its advancement. The topics are: discontinuity and shock waves; linear and nonlinear stability in fluid dynamics; kinetic theories and comparison with continuum models; propagation and non-equilibrium thermodynamics; exact solutions via group methods; numerical applications.

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Índice

Global Existence of Smooth Solutions of the EulerPoisson Equations
1
Shock Wave Structure Calculations with Extended Thermodynamics
9
Temperatures in a Rarefied Gas
22
Coherent Structures and Scalar Fields Decomposition
32
Numerical Estimates of Maximum Wave Velocity in a Relativistic
48
Stability of Discontinuities in Polycrystals
57
Some Nonlinear Stability Results for Bioconvection
66
Temperature Dependent Viscosity and Its Influence on the Onset
77
Some Liapunov Functionals for Nonlinear Diffusion and Nonlinear
178
On Interstitial Working in Granular Continuous Media
196
RankineHugoniot Conditions for OneEntropy TwoFluid Models
209
Mathematical Reality and Physical Reality in Continuum Mechanics
234
A Central Difference Scheme for a Hyperbolic Model Describing
257
Relaxation and the ChapmanEnskog Expansion
265
Comparison of Spherical Harmonics and Moment Equations
287
Wave Propagation in a Ferroelastic Body
306

A Hierarchy of Approximate Solutions in a Linear Elasticity
86
On the Linearization Procedure in Classical Thermoelasticity
94
On the Geometric Structure of Thermodynamic Spaces
101
On a Class of Planar Discrete Velocity Models for Gas Mixtures
119
On the Interdependence of Neighbouring Populations
137
Dissipative Structures Arising in Simple Materials Due to Finite
159
Speeds of Propagation in Classical and Relativistic Extended
325
Nonlinear Stability in Convection Problems for Different
340
Onsager Relations and Hydrodynamic Transport in a Submicron
354
Modelling Nonlinear Dispersive Waves
371
Application of a New Minimax Principle to Shear Flow Problems
397
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