Self-averaging of kinetic models for waves in random media

  title={Self-averaging of kinetic models for waves in random media},
  author={Guillaume Bal and Olivier Pinaud},
  journal={Kinetic and Related Models},
  • G. Bal, O. Pinaud
  • Published 25 November 2007
  • Physics
  • Kinetic and Related Models
Kinetic equations are often appropriate to model the energy density of high frequency waves propagating in highly heterogeneous media. The limitations of the kinetic model are quantified by the statistical instability of the wave energy density, i.e., by its sensitivity to changes in the realization of the underlying heterogeneous medium modeled as a random medium. In the simplified Ito-Schrodinger regime of wave propagation, we obtain optimal estimates for the statistical… 
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