The Cauchy problem in kinetic theory / Robert T. Glassey
Type de document : MonographieLangue : anglais.Pays: Etats Unis.Éditeur : Philadelphia : Society for Industrial and Applied Mathematics, 1996Description : 1 vol. (XII-241 p.) ; 26 cmISBN: 9780898713671.Bibliographie : Notes bibliogr. Index.Sujet MSC : 76P05, Rarefied gas flows, Boltzmann equation in fluid mechanics82C40, Statistical mechanics, structure of matter, Kinetic theory of gases in time-dependent statistical mechanics
82D10, Applications of statistical mechanics to specific types of physical systems, Statistical mechanical studies of plasmas
82C22, Statistical mechanics, structure of matter, Interacting particle systems in time-dependent statistical mechanics
76X05, Fluid mechanics, Ionized gas flow in electromagnetic fields; plasmic flowEn-ligne : MSN | zbMath
| Item type | Current library | Call number | Status | Date due | Barcode |
|---|---|---|---|---|---|
Monographie
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CMI Salle 2 | 82 GLA (Browse shelf(Opens below)) | Available | 12555-01 |
The book consists of 8 chapters: Properties of the collision operator, The Boltzmann equation near the vacuum, The Boltzmann equation near the equilibrium, The Vlasov-Poisson system, The Vlasov-Maxwell system, Dilute collisionless plasmas, Velocity averages: weak solutions to the Vlasov-Maxwell system, Convergence of a particle method for the Vlasov-Maxwell system.
The largest chapter is on the Boltzmann equation near the equilibrium (1/3 of the whole book). The reason for that is the large number of mathematical results for this model. In addition this theory has existed for a sufficiently long time to be free of the unnecessary technical machinery of first proofs, which makes it suitable for book presentation. The exposition goes along a traditional line established in papers of Ukai, and the author skillfully points out essential difficulties (cf. "dot'' spaces which solve the problem of continuity of certain semigroups) ... (MSN)
Notes bibliogr. Index
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