Exponential decay of energy is established for 3D Boussinesq and Navier-Stokes flows with Navier slip boundary conditions under only localized positive friction, via a new weighted Korn-Poincaré inequality.
On asymptotic stability of the 3D Boussinesq equations without heat conduction.Science China Mathematics, 67(2):253–280, 2024
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Exponential decay for the 3D Boussinesq equations with Navier boundary conditions
Exponential decay of energy is established for 3D Boussinesq and Navier-Stokes flows with Navier slip boundary conditions under only localized positive friction, via a new weighted Korn-Poincaré inequality.