Shortcuts
Top of page (Alt+0)
Page content (Alt+9)
Page menu (Alt+8)
Your browser does not support javascript, some WebOpac functionallity will not be available.
.
Default
.
PageMenu
-
Main Menu
-
Simple Search
.
Advanced Search
.
Journal Search
.
Refine Search Results
.
Preferences
.
Search Menu
Simple Search
.
Advanced Search
.
New Items Search
.
Journal Search
.
Refine Search Results
.
Bottom Menu
Help
Italian
.
English
.
German
.
New Item Menu
New Items Search
.
New Items List
.
Links
SISSA Library
.
ICTP library
.
Italian National web catalog (SBN)
.
Trieste University web catalog
.
Udine University web catalog
.
© LIBERO v6.4.1sp220816
Page content
You are here
:
Catalogue Display
Catalogue Display
The Boltzmann Equation and Its Applications
.
Bookmark this Record
Catalogue Record 48704
.
.
Author info on Wikipedia
.
.
LibraryThing
.
.
Google Books
.
.
Amazon Books
.
Catalogue Information
Catalogue Record 48704
.
Reviews
Catalogue Record 48704
.
British Library
Resolver for RSN-48704
Google Scholar
Resolver for RSN-48704
WorldCat
Resolver for RSN-48704
Catalogo Nazionale SBN
Resolver for RSN-48704
GoogleBooks
Resolver for RSN-48704
ICTP Library
Resolver for RSN-48704
.
Share Link
Jump to link
Catalogue Information
Field name
Details
Dewey Class
530.1
Title
The Boltzmann Equation and Its Applications ([EBook] /) / by Carlo Cercignani.
Author
Cercignani, Carlo
Other name(s)
SpringerLink (Online service)
Publication
New York, NY : : Springer New York : : Imprint: Springer, , 1988.
Physical Details
XIII, 455 p. : online resource.
Series
Applied mathematical sciences
0066-5452 ; ; 67
ISBN
9781461210399
Summary Note
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.:
Contents note
I. Basic Principles of The Kinetic Theory of Gases -- 1. Introduction -- 2. Probability -- 3. Phase space and Liouville’s theorem -- 4. Hard spheres and rigid walls. Mean free path -- 5. Scattering of a volume element in phase space -- 6. Time averages, ergodic hypothesis and equilibrium states -- References -- II. The Boltzmann Equation -- 1. The problem of nonequilibrium states -- 2. Equations for the many particle distribution functions for a gas of rigid spheres -- 3. The Boltzmann equation for rigid spheres -- 4. Generalizations -- 5. Details of the collision term -- 6. Elementary properties of the collision operator. Collision invariants -- 7. Solution of the equation Q(f,f) = 0 -- 8. Connection between the microscopic description and the macroscopic description of gas dynamics -- 9. Non-cutoff potentials and grazing collisions. Fokker-Planck equation -- 10. Model equations -- References -- III. Gas-Surface Interaction and the H-Theorem -- 1. Boundary conditions and the gas-surface interaction -- 2. Computation of scattering kernels -- 3. Reciprocity -- 4. A remarkable inequality -- 5. Maxwell’s boundary conditions. Accommodation coefficients -- 6. Mathematical models for gas-surface interaction -- 7. Physical models for gas-surface interaction -- 8. Scattering of molecular beams -- 9. The H-theorem. Irreversibility -- 10. Equilibrium states and Maxwellian distributions -- References -- IV, Linear Transport -- 1. The linearized collision operator -- 2. The linearized Boltzmann equation -- 3. The linear Boltzmann equation. Neutron transport and radiative transfer -- 4. Uniqueness of the solution for initial and boundary value problems -- 5. Further investigation of the linearized collision term -- 6. The decay to equilibrium and the spectrum of the collision operator -- 7. Steady one-dimensional problems. Transport coefficients -- 8. The general case -- 9. Linearized kinetic models -- 10. The variational principle -- 11. Green’s function -- 12. The integral equation approach -- References -- V. Small and Large Mean Free Paths -- 1. The Knudsen number -- 2. The Hilbert expansion -- 3. The Chapman-Enskog expansion -- 4. Criticism of the Chapman-Enskog method -- 5. Initial, boundary and shock layers -- 6. Further remarks on the Chapman-Enskog method and the computation of transport coefficients -- 7. Free molecule flow past a convex body -- 8. Free molecule flow in presence of nonconvex boundaries -- 9. Nearly free-molecule flows -- References -- VI. Analytical Solutions of Models -- 1. The method of elementary solutions -- 2. Splitting of a one-dimensional model equation -- 3. Elementary solutions of the simplest transport equation -- 4. Application of the general method to the Kramers and Milne problems -- 5. Application to the flow between parallel plates and the critical problem of a slab -- 6. Unsteady solutions of kinetic models with constant collision frequency -- 7. Analytical solutions of specific problems -- 8. More general models -- 9. Some special cases -- 10. Unsteady solutions of kinetic models with velocity dependent collision frequency -- 11. Analytic continuation -- 12. Sound propagation in monatomic gases -- 13. Two-dimensional and three-dimensional problems. Flow past solid bodies -- 14. Fluctuations and light scattering -- References -- VII. The Transition Regime -- 1. Introduction -- 2. Moment and discrete ordinate methods -- 3. The variational method -- 4. Monte Carlo methods -- 5. Problems of flow and heat transfer in regions bounded by planes or cylinders -- 6. Shock-wave structure -- 7. External flows -- 8. Expansion of a gas into a vacuum -- References -- VIII. Theorems on the Solutions of the Boltzmann Equation -- 1. Introduction -- 2. The space homogeneous case -- 3. Mollified and other modified versions of the Boltzmann equation -- 4. Nonstandard analysis approach to the Boltzmann equation -- 5. Local existence and validity of the Boltzmann equation -- 6. Global existence near equilibrium -- 7. Perturbations of vacuum -- 8. Homoenergetic solutions -- 9. Boundary value problems. The linearized and weakly nonlinear cases -- 10. Nonlinear boundary value problems -- 11. Concluding remarks -- References -- References -- Author Index.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/978-1-4612-1039-9
Links to Related Works
Subject References:
Physics
.
Theoretical, Mathematical and Computational Physics
.
Authors:
Cercignani, Carlo
.
Corporate Authors:
SpringerLink (Online service)
.
Series:
Applied mathematical sciences
.
Classification:
530.1
.
.
ISBD Display
Catalogue Record 48704
.
Tag Display
Catalogue Record 48704
.
Related Works
Catalogue Record 48704
.
Marc XML
Catalogue Record 48704
.
Add Title to Basket
Catalogue Record 48704
.
Catalogue Information 48704
Beginning of record
.
Catalogue Information 48704
Top of page
.
Download Title
Catalogue Record 48704
Export
This Record
As
Labelled Format
Bibliographic Format
ISBD Format
MARC Format
MARC Binary Format
MARCXML Format
User-Defined Format:
Title
Author
Series
Publication Details
Subject
To
File
Email
Reviews
This item has not been rated.
Add a Review and/or Rating
48704
1
48704
-
2
48704
-
3
48704
-
4
48704
-
5
48704
-
Quick Search
Search for