Abstract

Homogenization of the Equations of High-Frequency Nonlinear Acoustics

G.Panasenko (Universite Jean-Monnet, Saint-Etienne, France); E.A.Lapshin (Faculty of Mechanics and Mathematics, Moscow State University, Moscow, Russia)

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We consider in this talk high frequency nonlinear acoustics equations using approximation of geometrical (ray) acoustics. The acoustic characteristics of the medium rapidly oscillate. This model describes the propagation of pulses of sound shocks generated by supersonic planes, blast waves in atmosphere and ocean, continuous radiation of sound sources. An asymptotic solution of high frequency nonlinear acoustic equations is constructed (when the characteristic size of inhomogeneity is small with respect to the height of the layer where the problem is posed).

Section : 1