Proceedings, "WASCOM 99": 10th Conference on Waves and Stability in Continuous Media, Vulcano (Eolie Islands), Italy, 7-12 June 1999Mathematical 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 |
Términos y frases comunes
analysis appear applied approach approximate assume balance body Boltzmann equation boundary conditions calculations classical collisions components consider constant corresponding defined deformation denote density depends derived described determined differential diffusion distribution dynamics eigenvalues elastic electron energy entropy equations equilibrium existence expression extended fact field Figure flow fluid flux function given gives gradient heat implies inequality initial integral internal introduce invariant Italy kinetic linear mass Matematica material Mathematics maximum means mechanical method moments Moreover motion obtain operator parameters particles particular perturbations physical positive present principle problem production properties proved quantities reference relation represents respect satisfies shock singular solution solve space speed stability stationary structure surface symmetries taking temperature tensor Theorem theory thermodynamics tion transformation transport University values variables vector velocity wave
Información bibliográfica
| Título | Proceedings, "WASCOM 99": 10th Conference on Waves and Stability in Continuous Media, Vulcano (Eolie Islands), Italy, 7-12 June 1999 |
| Autor | Vincenzo Ciancio |
| Edición | ilustrada |
| Editor | World Scientific, 2001 |
| ISBN | 9810245408, 9789810245405 |
| N.º de páginas | 511 páginas |
| Exportar cita | BiBTeX EndNote RefMan |