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CRC Handbook of Lie Group Analysis of Differential Equations: Volume 2: Applications in Engineering and Physical Sciences

CRC Handbook of Lie Group Analysis of Differential Equations: Volume 2: Applications in Engineering and Physical Sciences

          
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About the Book

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.
About the Author:

Professor Nail H. Ibragimov is a scientific head of the laboratory GAMMETT, director of the international research centre ALGA (Advances in Lie Group Analysis) and a honorary Professor at the Department of Mathematics of Blekinge Institute of Technology (Karlskrona, Sweden).


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Product Details
  • ISBN-13: 9781315892009
  • Publisher: CRC Press
  • Publisher Imprint: Crc Press
  • Height: 235 mm
  • No of Pages: 546
  • Spine Width: 0 mm
  • ISBN-10: 1315892006
  • Publisher Date: 06 Mar 2019
  • Binding: Hardback
  • Language: English
  • Returnable: N
  • Width: 157 mm


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CRC Handbook of Lie Group Analysis of Differential Equations: Volume 2: Applications in Engineering and Physical Sciences
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