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

World Scientific Publishing Company 1995; US$ 47.00 US$ 42.77This 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...

#### Thermodynamics of Flowing Systems

Oxford University Press 1994; US$ 349.99This 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...

#### 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...

#### Scaling Analysis in Modeling Transport and Reaction Processes

Wiley 2007; US$ 165.00 US$ 148.50This book is unique as the first effort to expound on the subject of systematic scaling analysis. Not written for a specific discipline, the book targets any reader interested in transport phenomena and reaction processes. The book is logically divided into chapters on the use of systematic scaling analysis in fluid dynamics, heat transfer, mass transfer,... more...

#### Entropy Methods for the Boltzmann Equation

Springer Berlin Heidelberg 2007; US$ 34.25Entropy 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...

#### Transport Phenomena and Kinetic Theory

Birkhäuser Boston 2007; US$ 171.30This volume aims to provide an overview of some recent developments of mathematical kinetic theory focused on its application in modelling complex systems in various ?elds of applied sciences. Mathematical kinetic theory is essentially based on the Boltzmann eq- tion, which describes the evolution, possibly far from equilibrium, of a class of particles... more...

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

Springer Berlin Heidelberg 2008; US$ 125.61In 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...

#### Stochastic Dynamics and Boltzmann Hierarchy

De Gruyter 2009; US$ 210.00The aim of the Expositions is to present new and important developments in pure and applied mathematics. Well established in the community over more than two decades, the series offers a large library of mathematical works, including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential... more...

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

Springer Berlin Heidelberg 2010; US$ 125.61This 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...

#### Radiative Transfer in the Atmosphere and Ocean

Cambridge University Press 1999; US$ 76.00Provides a foundation of the theoretical and practical aspects of radiative transfer, for the atmospheric, oceanic and environmental sciences. more...