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.
The 2D Boussinesq–Navier–Stokes equations with logarithmically supercritical dissipation.Journal of Mathematical Study, 57(1):101–132, 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.