Thursday 10 September 2020, 12:45-13:15 via zoom
Vanja Nikolić (RU)
The mathematics of nonlinear sound waves
Nonlinear effects are easily observable in sound waves with sufficiently large amplitudes. The nonlinearity will be apparent even sooner in high-frequency waves because these effects accumulate over the distance measured in wavelengths. This makes ultrasonic waves inherently nonlinear. Their many applications range from non-invasive surgery to non-destructive material testing and motivate the mathematical investigation into nonlinear acoustics. In this talk, we will give an overview of research questions arising in the analysis and numerics of partial differential equations that model the propagation of such nonlinear waves.