On the nonlinear stability of a fluid layer of a mixture heated and salted from below
The nonlinear stability of the motionless state of a binary fluid mixture heated and salted from below, in the Oberbeck-Boussinesq scheme, is studied, in the stress-free boundary case. A stabilizing effect of gradient of solute on thermal convection is shown, and a globally nonlinear exponential stability theorem is proved. The stability of plane parallel convective flows (plane Couette and Poiseuille flows with linear temperature and concentration profiles) is also studied. Stability conditions independent of Reynolds number are found.
globally nonlinear exponential stability theorem
scientific article; zbMATH DE number 687684
scientific article