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Home > Mathematics and Science Textbooks > Mathematics > Calculus and mathematical analysis > Differential calculus and equations > Nonlinear Hyperbolic Waves in Multidimensions: (Monographs and Surveys in Pure and Applied Mathematics)
Nonlinear Hyperbolic Waves in Multidimensions: (Monographs and Surveys in Pure and Applied Mathematics)

Nonlinear Hyperbolic Waves in Multidimensions: (Monographs and Surveys in Pure and Applied Mathematics)


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About the Book

The propagation of curved, nonlinear wavefronts and shock fronts are very complex phenomena. Since the 1993 publication of his work Propagation of a Curved Shock and Nonlinear Ray Theory, author Phoolan Prasad and his research group have made significant advances in the underlying theory of these phenomena. This volume presents their results and pr

Table of Contents:
An Introduction to Nonlinear Hyperbolic Waves. Hyperbolic System-Some Basic Results. Simple Wave, High Frequency Approximation and Ray Theory. Weakly Nonlinear Ray Theory (WNLRT) Derivation. Stability of Solutions Near a Singularity of Sonic Type. WNLRT in a Polytropic Gas. Compatibility Conditions on a Shock: Single Conservation Law. One-Dimensional Piston Problem: An Application of NTSD. Conpatibility Conditions on a Multi-Dimensional Shock. Propagation of a Curved Weak Shock: Properties of the Solution.

Review :
"…In summary [this book] includes numerical examples to illustrate theory, the quality of the graphics is good, and an adequate subject index is provided. The author has achieved his goal as a textbook for advanced undergraduate applied mathematics…This reviewer strongly recommends that scientists and engineers who are interested in these topics read this book…" -Applied Mechanics Review, Vol. 55, no. 4, July 2002


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Product Details
  • ISBN-13: 9781420026146
  • Publisher: Taylor & Francis Ltd
  • Publisher Imprint: Chapman & Hall/CRC
  • Language: English
  • ISBN-10: 1420026143
  • Publisher Date: 18 May 2001
  • Binding: Digital (delivered electronically)
  • Series Title: Monographs and Surveys in Pure and Applied Mathematics


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Nonlinear Hyperbolic Waves in Multidimensions: (Monographs and Surveys in Pure and Applied Mathematics)
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Nonlinear Hyperbolic Waves in Multidimensions: (Monographs and Surveys in Pure and Applied Mathematics)
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