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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


CSIC Building (#406), Seminar Room 4122.
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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.

[LECTURE SLIDES]