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#### Lecture Notes on Mathematical Theory of the Boltzmann Equation

World Scientific Publishing Company 1995; US$ 88.00This is a collection of four lectures on some mathematical aspects related to the nonlinear Boltzmann equation. The following topics are dealt with: derivation of kinetic equations, qualitative analysis of the initial value problem, singular perturbation analysis towards the hydrodynamic limit and computational methods towards the solution of problems... more...

#### Stochastic Dynamics and Boltzmann Hierarchy

De Gruyter 2009; US$ 196.00The monograph is devoted to one of the most important trends in contemporary mathematical physics, the investigation of evolution equations of many-particle systems of statistical mechanics. The book systematizes rigorous results obtained in this field in recent years, and it presents contemporary methods for the investigation of evolution... more...

#### Thermodynamics of Flowing Systems

Oxford University Press 1994; US$ 329.99This much-needed monograph presents a systematic, step-by-step approach to the continuum modeling of flow phenomena exhibited within materials endowed with a complex internal microstructure, such as polymers and liquid crystals. By combining the principles of Hamiltonian mechanics with those of irreversible thermodynamics, Antony N. Beris and Brian... more...

#### Computational Methods in Transport: Verification and Validation

Springer Berlin Heidelberg 2008; US$ 129.00In a wide variety of applications, accurate simulation of particle transport is necessary whether those particles be photons, neutrinos, or charged par- cles. For inertial con?nement fusion, where one is dealing with either direct drive through photon or ion beams or indirect drive via thermal photons in a hohlraum, the accurate transport of energy... more...

#### Energy Localisation and Transfer

World Scientific Publishing Company 2004; US$ 145.00This book provides an introduction to localised excitations in spatially discrete systems, from the experimental, numerical and mathematical points of view. Also known as discrete breathers, nonlinear lattice excitations and intrinsic localised modes, these are spatially localised time periodic motions in networks of dynamical units. Examples of such... more...

#### Entropy Methods for the Boltzmann Equation

Springer Berlin Heidelberg 2007; US$ 49.95Entropy and entropy production have recently become mathematical tools for kinetic and hydrodynamic limits, when deriving the macroscopic behaviour of systems from the interaction dynamics of their many microscopic elementary constituents at the atomic or molecular level. During a special semester on Hydrodynamic Limits at the Centre Émile Borel... more...

#### Generalized Boltzmann Physical Kinetics

Elsevier Science 2004; US$ 210.00The most important result obtained by Prof. B. Alexeev and reflected in the book is connected with new theory of transport processes in gases, plasma and liquids. It was shown by Prof. B. Alexeev that well-known Boltzmann equation, which is the basement of the classical kinetic theory, is wrong in the definite sense. Namely in the Boltzmann equation... more...

#### An Introduction to the Boltzmann Equation and Transport Processes in Gases

Springer Berlin Heidelberg 2010; US$ 169.00This book covers classical kinetic theory of gases, presenting basic principles in a self-contained framework and from a more rigorous approach based on the Boltzmann equation. Uses methods in kinetic theory for determining the transport coefficients of gases. more...

#### Porous Media Fluid Transport and Pore Structure

Elsevier Science 2012; US$ 72.95Porous Media: Fluid Transport and Pore Structure presents relevant data on the role of pore structure in terms of transport phenomena in pore spaces. The information is then applied to the interpretation of various experiments and results of model calculations. This book emphasizes the discussion of ""flow through porous media"" in terms of interactions... more...

#### Quantum Transport Calculations for Nanosystems

Pan Stanford Publishing 2014; US$ 149.95As electric devices become smaller and smaller, transport simulations based on the quantum mechanics become more and more important. There are currently numerous textbooks on the basic concepts of quantum transport, but few present calculation methods in detail. This book provides various quantum transport simulation methods and shows applications... more...