4 papers
On the sharpness of bounds on the rate of growth of Lebesgue norms of the velocity in Navier-Stokes flows
Fabian Bleitner, Bartosz Protas
In this paper we consider solutions of the three-dimensional Navier-Stokes system and investigate sharpness of the a priori bound \begin{align*} \frac{d}{dt}\|\bol…
Large-time behavior of the 2D thermally non-diffusive Boussinesq equations with Navier-slip boundary conditions
Fabian Bleitner, Elizabeth Carlson, Camilla Nobili
This paper investigates the large-time behavior of a buoyancy-driven fluid without thermal diffusion under Navier-slip boundary conditions in a bounded domain with Lipschitz-contin…
Scaling laws for Rayleigh-Bénard convection between Navier-slip boundaries
Fabian Bleitner, Camilla Nobili
We consider the two-dimensional Rayeigh-Bénard convection problem between Navier-slip fixed-temperature boundary conditions and present a new upper bound for the Nusselt number. T…
Bounds on buoyancy driven flows with Navier-slip conditions on rough boundaries
Fabian Bleitner, Camilla Nobili
We consider two-dimensional Rayleigh-Bénard convection with Navier-slip and fixed temperature boundary conditions at the two horizontal rough walls described by the height functio…