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Item Details
Title: THE BOLTZMANN EQUATION AND ITS APPLICATIONS
By: Carlo Cercignani
Format: Hardback

List price: £129.99


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ISBN 10: 0387966374
ISBN 13: 9780387966373
Publisher: SPRINGER-VERLAG NEW YORK INC.
Pub. date: 18 December, 1987
Edition: 1988 ed.
Series: Applied Mathematical Sciences No. 67
Pages: 455
Description: Features an exposition of the present status of the theory of the Boltzmann equation and its applications. The Boltzmann equation, an integrodifferential equation established by Boltzmann in 1872 to describe the state of a dilute gas, forms the basis for the kinetic theory of gases.
Synopsis: Statistical mechanics may be naturally divided into two branches, one dealing with equilibrium systems, the other with nonequilibrium systems. The equilibrium properties of macroscopic systems are defined in principle by suitable averages in well-defined Gibbs's ensembles. This provides a frame- work for both qualitative understanding and quantitative approximations to equilibrium behaviour. Nonequilibrium phenomena are much less understood at the present time. A notable exception is offered by the case of dilute gases. Here a basic equation was established by Ludwig Boltzmann in 1872. The Boltzmann equation still forms the basis for the kinetic theory of gases and has proved fruitful not only for a study of the classical gases Boltzmann had in mind but also, properly generalized, for studying electron transport in solids and plasmas, neutron transport in nuclear reactors, phonon transport in superfluids, and radiative transfer in planetary and stellar atmospheres. Research in both the new fields and the old one has undergone a considerable advance in the last thirty years.
Illustrations: biography
Publication: US
Imprint: Springer-Verlag New York Inc.
Returns: Returnable
Some other items by this author:
ADVANCES IN MULTIPHYSICS SIMULATION AND EXPERIMENTAL TESTING OF MEMS (HB)
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LUDWIG BOLTZMANN (PB)
MANY-PARTICLE DYNAMICS AND KINETIC EQUATIONS (HB)
MATHEMATICAL METHODS IN KINETIC THEORY (HB)
MATHEMATICAL METHODS IN KINETIC THEORY (PB)
NONEQUILIBRIUM PROBLEMS IN MANY-PARTICLE SYSTEMS (PB)
RAREFIED GAS DYNAMICS
RAREFIED GAS DYNAMICS (HB)
RAREFIED GAS DYNAMICS (HB)
RAREFIED GAS DYNAMICS (PB)
SCALING LIMITS AND MODELS IN PHYSICAL PROCESSES (PB)
SLOW RAREFIED FLOWS (HB)
THE BOLTZMANN EQUATION AND ITS APPLICATIONS (PB)
THE MATHEMATICAL THEORY OF DILUTE GASES (HB)
THE MATHEMATICAL THEORY OF DILUTE GASES (PB)
THE MATHEMATICAL THEORY OF NON-UNIFORM GASES (PB)
THE RELATIVISTIC BOLTZMANN EQUATION (HB)
THE RELATIVISTIC BOLTZMANN EQUATION (PB)
TRANSPORT PHENOMENA AND KINETIC THEORY (HB)

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