The DOI matches its Crossref record; 2 of the 2 references it cites were found in a registry or an index.
Transport equations for elastic and other waves in random media
Open accessAbstract
We derive and analyze transport equations for the energy density of waves of any kind in a random medium. The equations take account of nonuniformities of the background medium, scattering by random inhomogeneities, polarization effects, coupling of different types of waves, etc. We also show that diffusive behavior occurs on long time and distance scales and we determine the diffusion coefficients. The results are specialized to acoustic, electromagnetic, and elastic waves. The analysis is based on the governing equations of motion and uses the Wigner distribution.
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Citations
Cites
On the Quantum Correction For Thermodynamic Equilibrium
Wigner, E. (1932) · Physical Review · doi:10.1103/physrev.40.749 · Cited by 9,283
Methods of Mathematical Physics
Courant, R., Hilbert, D., & Teichmann, T. (1962) · Physics Today · doi:10.1063/1.3057861 · Cited by 1,419
Cited by
Emergence of broadband Rayleigh waves from correlations of the ambient seismic noise
Shapiro, N. M., & Campillo, M. (2004) · Geophysical Research Letters · doi:10.1029/2004gl019491 · Cited by 1,497
Long-Range Correlations in the Diffuse Seismic Coda
Campillo, M., & Paul, A. (2003) · Science · doi:10.1126/science.1078551 · Cited by 1,303
Wave modelling – The state of the art
Cavaleri, L., Alves, J.-H. G. M., Ardhuin, F., Babanin, A., Banner, M., Belibassakis, K., Benoit, M., Donelan, M., Groeneweg, J., Herbers, T. H. C., et al. (2007) · Progress in Oceanography · doi:10.1016/j.pocean.2007.05.005 · Cited by 559
Metadata
- Authors
- Ryzhik, L., Papanicolaou, G., & Keller, J. B.
- Venue
- Wave Motion
- Publisher
- Elsevier BV
- Published
- 1996-12
- Volume
- 24
- Issue
- 4
- Pages
- 327-370
- ISSN
- 0165-2125 (ISSN-L)
- OpenAlex
- W2059739202
- Cited by
- 568
- References
- 2
- FWCI
- 3.44
- Type
- journal article
- Language
- en
- Open access
- hybrid
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- Ryzhik, L., Papanicolaou, G., & Keller, J. B. (1996). Transport equations for elastic and other waves in random media. Wave Motion. https://doi.org/10.1016/s0165-2125(96)00021-2
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
