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math.AP2024
Stability of the Couette flow for 3D Navier-Stokes equations with rotation
Wenting Huang, Ying Sun, Xiaojing Xu
Rotation significantly influences the stability characteristics of both laminar and turbulent shear flows. This study examines the stability threshold of the three-dimensional Navi…
math.AP2024
On the Sobolev stability threshold for 3D Navier-Stokes equations with rotation near the Couette flow
Wenting Huang, Ying Sun, Xiaojing Xu
Rotation is a crucial characteristic of fluid flow in the atmosphere and oceans, which is present in nearly all meteorological and geophysical models. The global existence of solut…