The Evolution of Large‐Horizontal‐Scale Disturbances in Marginally Stable, Inviscid, Shear Flows. II. Solutions of the Boussinesq Equation

摘要

In part I the Boussinesq equation was found to describe large‐horizontal‐scale disturbances in certain marginally stable flows. In this paper the properties of the solutions of this equation are explored. Solutions that are bounded for all time and those that blow up in finite time are observed analytically and numerically. Sufficient conditions for both boundedness and blowup are gi