Counterpropagating wave instability (source code)

= Counterpropagating wave instability

Waves travelling in opposite directions relative to their local background currents can share a laboratory <phase velocity>. Their interaction can then lock their phases and extract energy from the mean shear, producing growing disturbances. In a layered flow, the coupling is often exponentially weak when the interface separation exceeds the waves' decay length. A <dispersion relation for two density interfaces in uniform shear> gives a simple explicit example.