Quasilinear Hyperbolic Systems, Compressible Flows, and Waves

Informationen zum Autor Vishnu D. Sharma is chair professor in the Department of Mathematics at the Indian Institute of Technology, Bombay (IITB). Dr. Sharma is also president of the Indian Society of Theoretical and Applied Mechanics. Klappentext A self-contained discussion of quasilinear hyperbolic PDEs and systems! this book includes carefully chosen physical examples in gas dynamics and shallow water theory. It introduces the necessary mathematical concepts in the first three chapters! which cover wave propagation problems and the issues to be developed in the remainder of the text. The book describes the applications of the characteristic approach! singular surface theory! asymptotic methods! self-similarity and group theoretic methods! and the theory of generalized functions to several concrete physical examples from radiation gas dynamics! magneto gas dynamics! and nonequilibrium flows. Zusammenfassung Presents a discussion of quasilinear hyperbolic equations and systems with applications. This book highlights the application of various approaches, such as singular surface theory, asymptotic methods, and self-similarity, to solve practical physical problems from areas, including gasdynamics, radiation gasdynamics, and magnetogasdynamics. Inhaltsverzeichnis Hyperbolic Systems of Conservation Laws. Scalar Hyperbolic Equations in One Dimension. Hyperbolic Systems in One Space Dimension. Evolution of Weak Waves in Hyperbolic Systems. Asymptotic Waves for Quasilinear Systems. Self-Similar Solutions Involving Discontinuities and Their Interaction. Kinematics of a Shock of Arbitrary Strength. Bibliography. Index.

Product details

• Authors: Vishnu D. Sharma, Vishnu D. (Indian Institute of Technology Sharma, Sharma Vishnu D., Vishnu D. Sharma
• Publisher: Taylor & Francis Ltd.
• Languages: English
• Product format: Hardback
• Released: 29.04.2010
• EAN: 9781439836903
• ISBN: 978-1-4398-3690-3
• No. of pages: 282
• Series: Monographs and Surveys in Pure and Applied Mathematics; Monographs and Surveys in Pure and Applied Mathematics
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Arithmetic, algebra; TECHNOLOGY & ENGINEERING / Mechanical, MATHEMATICS / General, SCIENCE / Physics / General, MATHEMATICS / Applied, Fluid mechanics, Applied mathematics, Plasma Physics, Technology, Engineering, Agriculture, Physics: Fluid mechanics, Technology, Engineering, Agriculture, Industrial processes