Proceedings, "WASCOM 99": 10th Conference on Waves and Stability in Continuous Media, Vulcano (Eolie Islands), Italy, 7-12 June 1999World 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. |
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 | 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 |
Términos y frases comunes
analysis anisotropy approximate assume asymptotic Boltzmann equation boundary conditions Boussinesq equations coefficients collisions components consider constant convection corresponding defined deformation denote density differential equations diffusion Dipartimento di Matematica distribution function dynamics eigenvalues elastic electron energy entropy equilibrium extended thermodynamics ferroelastic fiber bundle field equations finite fluid given gradient heat flux hydrodynamic hyperbolic inelastic inelastic collisions inequality integral introduce invariant Italy k₁ kinetic theory Liapunov function Lie algebra Lie group Mach number Math Mathematics Mech Messina method N₁ nonclassical nonlinear nonlinear stability obtain parameters particles perturbations phonons Phys physical porous propagation relation respect Rionero Ruggeri semiconductors singular solution space speed spherical harmonics stationary structure symmetries T₁ temperature tensor Theorem tion Università V₁ values vector velocity wave