Finite-Amplitude Stability of Thermal Convection in a Densely Perforated Generalized Couette Cell
This paper establishes a rigorous finite-amplitude stability criterion for thermal convection in a densely perforated generalized Couette cell by deriving an exact energy identity that proves the nonlinear stability threshold coincides with the linear critical threshold, while analytically characterizing the effects of perforation intensity and thermal contact on the system's stability.