The stability threshold α=1/3 for 2D Boussinesq-Couette flow holds for unequal viscosity and thermal diffusivity, with H^{s+1/2} regularity for s>3/2.
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Transition threshold of Couette flow for 2D Boussinesq equations
The stability threshold α=1/3 for 2D Boussinesq-Couette flow holds for unequal viscosity and thermal diffusivity, with H^{s+1/2} regularity for s>3/2.