Seminar series
Date
Mon, 20 May 2024
15:30
15:30
Location
L3
Speaker
Prof Josselin Garnier
Organisation
Centre de Mathematiques Appliquees, Ecole polytechnique, Institut Polytechnique de Paris
In this talk we study wave propagation in random media using multiscale analysis.
We show that the wavefield can be described by a stochastic partial differential equation.
We can then address the following physical conjecture: for large propagation distances, the wavefield has Gaussian statistics, mean zero, and second-order moments determined by radiative transfer theory.
The results for the first two moments can be proved under general circumstances.
The Gaussian conjecture for the statistical distribution of the wavefield can be proved in some propagation regimes, but it turns out to be wrong in other regimes.
Further Information
This is a joint seminar with OxPDE.