Nonlinear Hyperbolic Waves in Multidimensions
Publisher: Chapman & Hall/CRC
Published: May 18, 2001
Language: eng
Format: Hardcover
Number of pages: 360
ISBN-13: 9781584880721
Subjects: Non-linear science; Quantum physics (quantum mechanics); Mathematical Physics; Differential Equations; Gas Dynamics; Mathematics; Waves & Wave Mechanics; Science/Mathematics; Applied; Mathematics / Differential Equations; Differential equations, Hyperb; General; Differential equations, Hyperbolic; Nonlinear wave equations
First sentence: We are concerned in this monograph with hyperbolic waves having nonlinearity of a special type i.e., waves governed by quasilinear hyperbolic partial differential equations.
Description: "Nonlinear Hyperbolic Waves in Multi-dimensions is a self-contained treatment that includes all introductory material on nonlinear hyperbolic waves and the theory of shock waves. The author derives the ray theory for a nonlinear wavefront, discusses kink phenomena, and develops a new theory for plane and curved shock propagation. He also discusses Huygens' method and shows that Fermat's principle in an extended form is consistent with the ray theories presented.

The book includes examples of the theory applied to converging nonlinear wavefronts and shock fronts in gas dynamics with a graphical presentation of the results of extensive numerical computations. There are also results on the propagation of a curved pulse in a transonic flow and on shock fronts with periodic shapes."--BOOK JACKET.