Waves and Stability in Continuous Media : Proceedings of the 11th International Conference on WASCOM 2001 Porto Ercole, Italy 3-9 June 2001

by Monaco, Roberto

• ISBN13: 9789812380173
• ISBN10: 9812380175
• Format: Hardcover
• Copyright: 2002-09-01
• Publisher: WORLD SCIENTIFIC PUB CO INC

Summary

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.

Table of Contents

Preface	v
Conference Data	vii
Linear Stability Analysis of a 1D Flow in a Poroelastic Material under Disturbances with Adsorption	1	(7)
B. Albers
Compressible Flows in Time-dependent Domains: Zero Mach Number Limit	8	(6)
G. Ali
Recovering the Potential in the Schrodinger Equation from the N-D Map	14	(14)
S. Avdonin
S. Lenhart
V. Protopopescu
Multi-resolution Analysis in the Fractional Quantum Hall Effect	28	(6)
F. Bagarello
Space Homogeneous Solutions of the Linear Boltzmann Equation for Semiconductors: A Semigroup Approach	34	(7)
J. Banasiak
G. Frosali
F. Mugelli
Stationary Heat Conduction in a Rotating Frame	41	(7)
E. Barbera
Grad's Closure in the Kinetic Theory of a Chemically Reacting Gas	48	(7)
M. Bisi
M. Groppi
G. Spiga
Electron Flow Stability in Bulk Silicon in the Limit of Small Electric Field	55	(7)
A. M. Blokhin
R. S. Bushmanov
V. Romano
End Effects of Saint-Venant's Type in Mixtures of Thermoelastic Solids	62	(6)
F. Bofill
M. Dalmau
R. Quintanilla
Characteristic Shocks in Exceptional Directions	68	(7)
G. Boillat
A. Muracchini
Schrodinger-like Model for Interband Tunnelling in Heterogeneous Semiconductor Devices: A Current Estimate	75	(7)
G. Borgioli
M. Camprini
Instabilities in Compressible Fluids	82	(7)
A. S. Bormann
An Inverse Problem in Fluid Dynamics	89	(6)
G. Bozis
F. Borghero
Continuum Mechanics and Dynamical Permutations	95	(8)
Y. Brenier
Entropy Principle and Non Controllable Data for the Moment Systems	103	(15)
F. Brini
T. Ruggeri
On the Onset of Convection in Presence of a Bounded Non Uniform Temperature Gradient	118	(6)
F. Capone
S. Rionero
Global Geometrical Solutions for Hamilton-Jacobi Equations of Evolution Type	124	(6)
F. Cardin
Helmholtz-Boltzmann Thermodynamics on Configurations Space	130	(6)
F. Cardin
M. Favretti
Variational Setting of Nonlinear Equilibrium Problem: Wedge Discontinuity Lines	136	(8)
S. Carillo
Wavelet Solutions in Elastic Nonlinear Oscillations	144	(6)
C. Cattani
Continuum Equations for Rarefied Gases	150	(11)
X. Chen
E. A. Spiegel
Detonation Wave Structure Arising from the Kinetic Theory of Reacting Gases	161	(8)
F. Conforto
R. Monaco
F. Schurrer
I. Ziegler
Large Size Planar DVMs and Two Continuous Relations	169	(7)
H. Cornille
A Constitutive Equation for the Pressure Tensor Leading to the Hydrodynamic Form of a Nonlinear Schrodinger Equation	176	(3)
S. De Martino
S. De Siena
F. Illuminati
G. Lauro
Some Applications of Stability Switch Criteria in Delay Differential Systems	179	(12)
P. Fergola
M. Cerasuolo
Decay and Other Properties of Cross-Sectional Measures in Elasticity	191	(13)
J. N. Flavin
A Reduction Method for Multiple Wave Solutions to Quasilinear Dissipative Systems	204	(10)
D. Fusco
N. Manganaro
Stability Results for Penetrative Convection in Porous Media for Fluids with Cubic Density	214	(6)
M. Gentile
S. Rionero
Dynamics of Lines in the Spreading of Liquids on Solid Surfaces	220	(12)
H. Gouin
On the Boussinesq Hierarchy	232	(11)
A. M. Greco
G. Gambino
Basic Parameters in Continuum Mechanics	243	(10)
G. Grioli
Perturbative Method in the Study of Nonlinear Evolution Problems in the Diffusion of the Particles of a Mixture	253	(6)
G. Guerriero
On the Generalized Energy Method for Channel Flows	259	(12)
R. Kaiser
A. Tilgner
Quasi-static Approximations of Photon Transport in an Interstellar Cloud	271	(6)
M. Lisi
S. Totaro
Double-diffusive Convection in Porous Media: The Darcy and Brinkman Models	277	(13)
S. Lombardo
G. Mulone
Existence and Uniqueness for Prandtl Equations and Zero Viscosity Limit of the Navier-Stokes Equations	290	(6)
M C. Lombardo
M. Sammartino
Space-time Fractional Diffusion: Exact Solutions and Probability Interpretation	296	(6)
F. Mainardi
G. Pagnini
Bifurcation Analysis of Equilibria with a Magnetic Island in Two-Dimensional MHD	302	(14)
L. Margheriti
C. Tebaldi
Existence of Unbounded Solutions in Thermoelasticity	316	(6)
S. Martin
R. Quintanilla
Compton Cooling of a Radiating Fluid	322	(6)
G. Mascali
Fast Relaxation Phenomena in Extended Thermodynamic of Superfluids	328	(6)
M. S. Mongiovi
R. A. Peruzza
On the Reaction Stress in Bodies with Linear Internal Constraints	334	(6)
A. Montanaro
Integration and Segregation in a Population - A Short Account of Socio-Thermodynamics	340	(7)
I. Muller
Second Sound Propagation in Superfluid Helium via Extended Thermodynamics	347	(13)
A. Muracchini
T. Ruggeri
L. Seccia
BGK Model for Simulating Electron Transport in Semiconductor Devices	360	(6)
O. Muscato
Nonlinear Waves in Continua with Scalar Microstructure	366	(7)
F. Oliveri
A Navier-Stokes Model for Chemically Reacting Gases	373	(6)
M. Pandolfi Bianchi
A. J. Soares
Slow Eigenmodes of the Shallow-Water Equations	379	(6)
F. Paparella
A Comparison Between Relativistic Extended Thermodynamics with 14 Fields and that with 30 Fields	385	(6)
S. Pennisi
Some Numerical Results on the Development of Singularities in the Dynamics of Harmonic Maps	391	(6)
F. Pistella
V. Vnlente
On Bifurcations in Multilattices	397	(12)
M. Pitteri
An H-Theorem in a Simple Model of Chemically Reactive Dense Gases	409	(7)
J. Polewczak
Free Boundary in Radial Symmetric Chemotaxis	416	(12)
M. Primicerio
B. Zaltzman
Modeling of Dissipative processes	428	(10)
K. R. Rajagopal
On a Transport Problem in a Time-dependent Domain	438	(9)
R. Riganti
F. Salvarani
On the Long Time Behaviour of the Solutions of Non-linear Parabolic Equations in Unbounded Domains	447	(11)
S. Rionero
On the Geometry of Spatial Hydrodynamic Motions. Solitonic Connections	458	(13)
C. Rogers
Rayleigh Waves in Horizontally Stratified Media: Relevance of Resonant Frequencies	471	(6)
V. Roma
R. Lancellotta
G. J. Rix
Symmetry Classification for a Class of Energy-Transport Models	477	(7)
V. Romano
A. Valenti
Thermodynamics and Balance Laws for Processes of Inelastic Deformations	484	(12)
E. I. Romenski
Euler Equations Arising from Extended Kinetic Theory: Sound Wave Propagation	496	(7)
A. Rossani
Central Schemes for Balance Laws	503	(12)
G. Russo
Long Time Behavior of a Shallow Water Model for a Basin with Varying Bottom Topography	515	(6)
M. Sammartino
V. Sciacca
A Model for the Chemiotherapy of the HIV Infection with Antigenic Variation	521	(6)
M. Sammartino
L. Seta
Kinetic and Fluidynamic Approaches to Four-Wave-Mixing and Thermal Acoustic Phenomena in Quantum Optics	527	(12)
F. Schurrer
W. Koller
F. Hanser
Linearization and Solutions of a Simplified Model for Reacting Mixtures	539	(9)
M. Senthilvelan
M. Torrisi
Elastic Waves in Materials with Thin Layers	548	(6)
M. P. Speciale
M. Brocato
Unconditional Nonlinear Stability Via the Energy Method	554	(9)
B. Straughan
On the Nonlinear Diffusion in the Exterior of a Sphere	563	(6)
I. Torcicollo
M. Vitiello
Entropy Methods for the Asymptotic Behaviour of Fourth-order Nonlinear Diffusion Equations	569	(10)
G. Toscani
On the Symmetry Classification for a Heat Conduction Model	579	(6)
R. Tracina
Hydrodynamic Analysis for Hot-carriers Transport in Semiconductors	585	(6)
M. Trovato
Small Oscillations of a Spherical Liquid Bridge between Two Equal Disks Under Gravity Zero	591
D. Vivona