CRC Handbook of Lie Group Analysis of Differential Equations: Applications in Engineering and Physical Sciences - Couverture rigide

Couverture rigide

ISBN 10 : 0849328640 ISBN 13 : 9780849328640

Editeur : CRC Press Inc, 1994

Synopsis

Volume 2 offers a unique blend of classical results of Sophus Lie with new, modern developments and numerous applications which span a period of more than 100 years. As a result, this reference is up to date, with the latest information on the group theoretic methods used frequently in mathematical physics and engineering.
Volume 2 is divided into three parts. Part A focuses on relevant definitions, main algorithms, group classification schemes for partial differential equations, and multifaceted possibilities offered by Lie group theoretic philosophy. Part B contains the group analysis of a variety of mathematical models for diverse natural phenomena. It tabulates symmetry groups and solutions for linear equations of mathematical physics, classical field theory, viscous and non-Newtonian fluids, boundary layer problems, Earth sciences, elasticity, plasticity, plasma theory (Vlasov-Maxwell equations), and nonlinear optics and acoustics. Part C offers an English translation of Sophus Lie's fundamental paper on the group classification and invariant solutions of linear second-order equations with two independent variables. This will serve as a concise, practical guide to the group analysis of partial differential equations.

A propos du livre

À propos de l'auteur

Ibragimov; Nail H. University of Witwatersrand, Johannesburg, South Africa,

Détails de l'édition

• Éditeur: CRC Press Inc
• Date d'édition: 1994
• Langue: anglais
• ISBN 10: 0849328640
• ISBN 13: 9780849328640
• Reliure: Relié
• Nombre de pages: 576
• Éditeur: Ibragimov N. H.
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible