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Center for Scientific Computation and Mathematical Modeling

Research Activities > Programs > High Frequency Wave Propagation 2005 > Lenya Ryzhik

High Frequency Wave Propagation

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Random Geometrical Optics - From Waves to Diffusion


Lenya Ryzhik

Department of Mathematics at University of Chicago

Abstract:  We consider wave propagation in the regime of random geometric acoustics. We show, strarting from the wave equation that in the long time - large distance limit wave energy density behaves diffusively and identify the diffusion coefficient in terms of the statistics of the random medium. This is a joint work with T. Komorowski.