The boltzmann equation and its applications /
Collection : Applied mathematical sciences. Mention d'édition :1st ed. Publié par : Springer, ([S.l.] :) Détails physiques : 476 p. ; 24 cm. ISBN :0387966374; 9780387966373.Type de document | Site actuel | Cote | Statut | Date de retour prévue | Code à barres | Réservations |
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Livre | La bibliothèque des Sciences Exactes et Naturelles | 510 CER (Parcourir l'étagère) | Disponible | 0000000006770 |
Survol La bibliothèque des Sciences Exactes et Naturelles Étagères Fermer l'étagère
510 CAR Category theory | 510 CAS The Hauptvermutung book | 510 CEM Banach spaces of vector-valued functions | 510 CER The boltzmann equation and its applications / | 510 CHO Mathématiques | 510 DEK Almost-bieberbach groups : | 510 DEM Méthodes mathématiques de la finance / |
This book gives a complete 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, still forms the basis for the kinetic theory of gases. It has proved fruitful not only for the study of the classical gases Boltzmann had in mind, but also, properly generalized, for electron transport in nuclear reactors, photon transport in superfluids, and radiative transport in planetary and stellar atmospheres. The text presents a unified approach to the problems arising in these different fields, by exploiting similarities whenever they exist and underlining the differences when necessary. But the main exposition is tied to the classical equation established by Boltzmann. Hence the detailed description of applications refers almost exclusively to monatomic neutral gases. Appropiate references are given to papers dealing with similar problems arising in other fields, with particular concern for neutron transport. A unique feature is the detailed consideration of the boundary conditions to be used in connection with the Boltzmann equation. Other topics covered in detail are the derivation of the Boltzmann equation from first principles, the theory of the linearized Boltzmann equation, the use of model equations, and the various regimes of rarefied gas dynamics. In addition to updating the material to 1987, the main improvement over the previous book of the author, "Theory and Application of the Boltzmann equation" is the detailed survey of the use of the techniques of functional analysis in connection with the nonlinear Boltzmann equation, a subject which has greatly progressed in the last ten years.
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