Nonlinear Hyperbolic Waves in Multidimensions

By Phoolan Prasad

Subjects: Équations différentielles hyperboliques, Équations d'onde non linéaires, Nonlinear wave equations, Differential equations, hyperbolic, SCIENCE, Hyperbolic Differential equations, Waves & Wave Mechanics

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.