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)*

*e-mail: none*

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