A Nonlinear Evolution of Wide Spectrum Acoustical Disturbances in Nonequilibrium Media with one Relaxation Process.

Autor: Molevich, N. E., Makaryan, V. G.
Předmět:
Zdroj: AIP Conference Proceedings; 2006, Vol. 838 Issue 1, p548-551, 4p, 3 Graphs
Abstrakt: It is investigated the solutions of a general acoustical equation, describing in the second order perturbation theory a nonlinear evolution of wide spectrum acoustical disturbances in nonequilibrium media with one relaxation process. Its low- and high- frequency limits correspond to Kuramoto-Sivashinsky equation and the Burgers equation with a source, respectively. Stationary structures of general equation, the conditions of their establishment and all their parameters are found analytically and numerically. It is obtained the condition of instability of a disturbance that has a step-like initial form. In acoustically active media it is predicted the existence of the stationary periodical roll waves and the solitary pulse with the shock front and the exponential tail. These periodical waves and solitary pulse are autowaves. Their parameters depend only on nonequilibrium medium properties. © 2006 American Institute of Physics [ABSTRACT FROM AUTHOR]
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