# Transport equations for elastic and other waves in random media

@article{Ryzhik1996TransportEF, title={Transport equations for elastic and other waves in random media}, author={Leonid Ryzhik and George C Papanicolaou and Joseph B. Keller}, journal={Wave Motion}, year={1996}, volume={24}, pages={327-370} }

## 509 Citations

Wave transport along surfaces with random impedance

- Physics
- 2000

We study transport and diffusion of classical waves in two-dimensional disordered systems and in particular surface waves on a flat surface with randomly fluctuating impedance. We derive from first…

Scattering of elastic waves in heterogeneous media with local isotropy.

- MathematicsThe Journal of the Acoustical Society of America
- 2001

The scattering of elastic waves in heterogeneous media is discussed. Explicit expressions are derived for the attenuation of longitudinal and transverse elastic waves in terms of the statistics of…

Generalized diffusion equation for multiple scattered elastic waves

- Physics, Mathematics
- 2002

Abstract We study multiple scattering of elastic waves using a generalized diffusion approximation of the radiative transfer equation applied to spherically symmetric scatterers. This generalized…

Transport equations for waves in randomly perturbed Hamiltonian systems, with application to Rossby waves

- Physics, Mathematics
- 2005

Transport equations for waves in a half Space

- Physics
- 1997

We derive boundary conditions for the phase space energy density of acoustic waves in a half space, in the high frequency limit. These boundary conditions generalize the usual reflection—transmission…

Transient Transport Equations for Energy Propagation in Visco-Elastic Structures

- Mathematics
- 2004

We apply some rigorous mathematical results obtained in the frame of microlocal analysis to derive the exact propagation features of the high-frequency energy of randomly heterogeneous elastic…

Homogenization in random media and effective medium theory for high frequency waves

- Mathematics
- 2007

We consider the homogenization of the wave equation with high
frequency initial conditions propagating in a medium with highly
oscillatory random coefficients. By appropriate mixing assumptions…

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