The Cauchy Problem in Kinetic Theory - Couverture souple

Glassey, Robert T.

Couverture souple

ISBN 10 : 0898713676 ISBN 13 : 9780898713671

Editeur : Society for Industrial and Applied Mathematics, 1987

Synopsis

This clearly written, self-contained volume studies the basic equations of kinetic theory in all of space.

A propos du livre

Présentation de l'éditeur

This clearly written, self-contained volume studies the basic equations of kinetic theory in all of space. It contains up-to-date, state-of-the-art treatments of initial-value problems for the major kinetic equations, including the Boltzmann equation (from rarefied gas dynamics) and the Vlasov-Poisson/Vlasov-Maxwell systems (from plasma physics). This is the only existing book to treat Boltzmann-type problems and Vlasov-type problems together. Although these equations describe very different phenomena, they share the same streaming term. The author proves that solutions starting from a given configuration at an initial time exist for all future times by imposing appropriate hypotheses on the initial values in several important cases. He emphasizes those questions that a mathematician would ask first: Is there a solution to this problem? Is it unique? Can it be numerically approximated?

Revue de presse

'The book will make a very valuable addition to the bookshelf of every researcher in mathematical kinetic theory.' Reinhard Ilner, SIAM Review

Détails de l'édition

• Éditeur: Society for Industrial and Applied Mathematics
• Date d'édition: 1987
• Langue: anglais
• ISBN 10: 0898713676
• ISBN 13: 9780898713671
• Reliure: Broché
• Nombre de pages: 253
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible