Waves And Stability In Continuous Media Proceedings Of The Vii Conference

This volume presents an up-to-date overview of some of the most important topics in waves and stability in continuous media. The topics are: Discontinuity and Shock Waves; Linear and Non-Linear Stability in Fluid Dynamics; Kinetic Theories and Comparison with Continuum Models; Propagation and Non-Equilibrium Thermodynamics; and Numerical Applications.

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.

First organized in 1981, the WASCOM conference to bring together researchers and scientists from all over the world to discuss problems, promote collaborations and shape future directions for research in the field of stability and wave propagation in continuous media. This book constitutes the proceedings of the 11th edition of the conference, the first of the third millennium. The main topics are: (1) Linear and nonlinear hyperbolic equations, conservation laws and specific aspects of wave propagation; (2) stability of systems of PDEs, with particular reference to those of fluid and solid mechanics; (3) extended thermodynamics and passage from microscopic to macroscopic description of the medium for systems characterized also by inelastic interactions at the kinetic scale. The proceedings have been selected for coverage in: • Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings) Contents:Recovering the Potential in the Schrödinger Equation from the N-D Map (S Avdonin et al.)Space Homogeneous Solutions of the Linear Boltzmann Equation for Semiconductors: A Semigroup Approach (J Banasiak et al.)Grad's Closure in the Kinetic Theory of a Chemically Reacting Gas (M Bisi et al.)Characteristic Shocks in Exceptional Directions (G Boillat & A Muracchini)Continuum Mechanics and Dynamical Permutations (Y Brenier)Continuum Equations for Rarefied Gases (X Chen & E A Spiegel)Decay and Other Properties of Cross-Sectional Measures in Elasticity (J N Flavin)Dynamics of Lines in the Spreading of Liquids on Solid Surfaces (H Gouin)Integration and Segregation in a Population — A Short Account of Socio-Thermodynamics (I Müller)Second Sound Propagation in Superfluid Helium via Extended Thermodynamics (A Muracchini et al.)An H-Theorem in a Simple Model of Chemically Reactive Dense Gases (J Polewczak)Modelling of Dissipative Processes (K R Rajagopal)On the Geometry of Spatial Hydrodynamic Motions. Solitonic Connections (C Rogers)Thermodynamics and Balance Laws for Processes of Inelastic Deformations (E I Romenski)Kinetic and Fluidynamic Approaches to Four-Wave-Mixing and Thermal Acoustic Phenomena in Quantum Optics (F Schürrer er al.)Unconditional Nonlinear Stability Via the Energy Method (B Straughan)Entropy Methods for the Asymptotic Behaviour of Fourth-order Nonlinear Diffusion Equations (G Toscani)and other papers Readership: Academics, researchers and graduate students in mathematical modeling, mathematical physics, fluid mechanics and thermodynamics. Keywords:Discontinuity and Shock Waves;Hyperbolic Systems;Stability in Fluid Dynamics;Small Parameter Problems;Kinetic Theories towards Continuum Models;Non Equilibrium Thermodynamics;Extended Thermodynamics;Chemically Reacting Mixtures;Mathematical Models of Biology;Numerical Methods of Fluid Dynamics

The book contains recent contributions in the field of waves propagation and stability in continuous media. In particular, the contributions consider discontinuity and shock waves, stability in fluid dynamics, small parameter problems, kinetic theories towards continuum models, non-equilibrium thermodynamics, and numerical applications.The volume is the fourth in a series published by World Scientific since 1999. The following distinguished authors contribute to the present book: S Bianchini, R Caflish, C Cercignani, Y Choquet-Bruhat, C Dafermos, L Desvillettes, V Giovangigli, H Gouin, I Muller, D Parker, B Straughan, M Sugiyama and W Weiss.

This volume is the fifth in a series of proceedings which started in 1999. The contributions include the latest results on the theory of wave propagation, extended thermodynamics, and the stability of the solutions to partial differential equations.

This book contains about 20 invited papers and 40 contributed papers in the research areas of theoretical continuum mechanics, kinetic theory and numerical applications of continuum mechanics. Collectively these papers give a good overview of the activities and developments in these fields in the last few years.The proceedings have been selected for coverage in: ? Index to Scientific & Technical Proceedings? (ISTP? / ISI Proceedings)? Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings)? CC Proceedings ? Engineering & Physical Sciences

This book contains recent contributions in the field of waves propagation and stability in continuous media. The volume is the sixth in a series published by World Scientific since 1999.