Modèles micro-macro pour les solides -- Techniques d’homogénéisation -- Simulation moléculaire -- Modèles micro-macro pour les fluides -- Cinétique chimique -- Vers une unité des approches.Systèmes multi-échelles est une introduction à la problématique des systémes multi-échelles du point de vue du mathématicien appliqué. Il se compose d'une mosaique d'exemples dont le seul lie…
Multiscale Discontinuous Galerkin Methods for Elliptic Problems with Multiple Scales -- Discrete Network Approximation for Highly-Packed Composites with Irregular Geometry in Three Dimensions -- Adaptive Monte Carlo Algorithms for Stopped Diffusion -- The Heterogeneous Multi-Scale Method for Homogenization Problems -- A Coarsening Multigrid Method for Flow in Heterogeneous Porous Media -- On th…
A. Giorgilli: Preface -- G. Benettin: Physical Applications of Nekhoroshev Theorem and Exponential Estimates -- J. Henrard: The Adiabatic Invariant Theory and Applications -- S. Kuksin: Lectures on Hamiltonian Methods in Nonlinear PDEs.This volume collects three series of lectures on applications of the theory of Hamiltonian systems, contributed by some of the specialists in the field. The aim …
General Definitions, Conservation Laws -- Lagrangian Coordinates -- Constitutive Laws -- The Principle of Material Frame-Indifference -- Replacing Entropy with Temperature -- Isotropy -- Equations in Lagrangian Coordinates -- Linearized Models -- Quasi-static Thermoelasticity -- Fluids -- Linearized Models for Fluids, Acoustics -- Perfect Gases -- Incompressible Fluids -- Turbulent Flow of Inco…
Wave Processes at Interfaces -- Numerics for Magnetoplasmadynamic Propulsion -- Hexagonal Kinetic Models and the Numerical Simulation of Kinetic Boundary Layers -- High-resolution Simulation of Detonations with Detailed Chemistry -- Numerical Linear Stability Analysis for Compressible Fluids -- Simulation of Solar Radiative Magneto-Convection -- Riemann Problem for the Euler Equation with Non-C…
Theoretical Approaches -- Conservation laws for three-phase partially saturated granular media -- Thermally-induced pore pressure generation in a nearly-saturated cementitious material -- Strain localisation simulation in non-isothermal multiphase geomaterials -- Non-linear behaviour in the deformation and localization analysis of unsaturated soil -- A process-oriented approach to compute THM p…
Hydraulic Behaviour -- Laboratory Experiments and Simulations on the Significance of Non-Equilibrium Effect in the Capillary Pressure-Saturation Relationship -- Determination of hydro-mechanical Properties of Sand -- Column test apparatus for the inverse estimation of soil hydraulic parameters under defined stress condition -- Water permeability of unsaturated compacted kaolin -- Moisture reten…
Molecular Structure and Energy States -- Some Basic Concepts of Kinetic Theory -- Interaction of Molecules with Solid Surface -- Free Molecular Flow -- Continuum Models -- Transitional Regime -- Direct Simulation Monte-Carlo (DSMC) Method -- Microscale Slow Gas Flows, IP Method.This book elucidates the methods of molecular gas dynamics or rarefied gas dynamics which treat the problems of gas fl…
Interplay between Air and Water -- Stochastic Dynamics of Engineering Systems -- Multibody Dynamics: Bridging for Multidisciplinary Applications -- Rapid Formation of Strong Gradients and Diffusion in the Transport of Scalar and Vector Fields -- Wave-Vortex Interactions in the Atmosphere, and Climate Prediction -- Near-Critical Point Hydrodynamics and Microgravity -- Flaw Tolerant Nanostructure…
Percolation Theory -- Porous Media Primer for Physicists -- Specific Examples of Critical Path Analysis -- Basic Constitutive Relations for Unsaturated Media -- Pressure Saturation Curves and the Critical Volume Fraction of Percolation -- Applications of the Correlation Length -- Applications of the Cluster Statistics -- Effects of Multi-Scale Heterogeneity.The present monograph presents, for t…