6 citations · 7 across the 3 of their papers we have counts for
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Self-averaging in time reversal for the parabolic wave equation
Guillaume Bal, George Papanicolaou, Leonid Ryzhik
We analyze the self-averaging properties of time-reversed solutions of the paraxial wave equation with random coefficients, which we take to be Markovian in the direction of propag…
Time Reversal for Waves in Random Media
Guillaume Bal, Leonid Ryzhik
In time reversal acoustics experiments, a signal is emitted from a localized source, recorded at an array of receivers-transducers, time reversed, and finally re-emitted into the m…
Quenching of flames by fluid advection
Peter Constantin, Alexander Kiselev, Leonid Ryzhik
We consider a simple scalar reaction-advection-diffusion equation with ignition-type nonlinearity and discuss the following question: What kinds of velocity profiles are capable of…