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