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CRC Handbook of Lie Group Analysis of Differential Equations: Volume 2: Applications in Engineering and Physical Sciences Nail H. Ibragimov 1.º edición
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CRC Handbook of Lie Group Analysis of Differential Equations: Volume 2: Applications in Engineering and Physical Sciences
Nail H. Ibragimov
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.
546 pages
| Medios de comunicación | Libros Hardcover Book (Libro con lomo y cubierta duros) |
| Publicado | 31 de diciembre de 2023 |
| ISBN13 | 9781315892009 |
| Editores | Taylor & Francis Ltd |
| Páginas | 546 |
| Dimensiones | 150 × 220 × 20 mm · 849 g (Peso (estimado)) |
| Lengua | Inglés |
