The generalized Proudman-Johnson equation at large Reynolds numbers

초록

We consider the generalized Proudman-Johnson equation with an external force. Solving its steady states numerically, we demonstrate that a unimodal pattern appears at large Reynolds numbers if and only if the parameter endowed in the equation is equal to unity. This may be interpreted as a strong connection of unimodal patterns to the 2D Navier-Stokes equations.

키워드