Temperature variations leave the formation and stability of velocity singularities unchanged in the hydrostatic Boussinesq system for both inviscid and vertically diffusive temperature cases.
Ill-posedness of the hydrostatic euler and navier–stokes equations.Archive for Rational Me- chanics and Analysis, 194(3):877–886, January 2009
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On the Profile of Singularity Formation for the Incompressible Hydrostatic Boussinesq system
Temperature variations leave the formation and stability of velocity singularities unchanged in the hydrostatic Boussinesq system for both inviscid and vertically diffusive temperature cases.