Paper of Camilla Nobili on rigorous analysis of Rayleigh–Bénard convection published in Nonlinearity

The paper “Bounds on buoyancy driven flows with Navier-slip conditions on rough boundaries” co-authored by Fabian Bleitner and Camilla Nobili, has been published in Nonlinearity. It is published open access (link here). Fabian Bleitner was a PhD student of Camilla at the University of Hamburg. The paper considers two-dimensional Rayleigh–Bénard convection with Navier-slip and fixed-temperature boundary conditions at the two horizontal rough walls described by the height function h. Rigorous upper bounds are proved on the Nusselt number which capture the dependence on the curvature of the boundary κ and the (non-constant) friction coefficient α explicitly. Full abstract available at the above link. The screenshot below shows Figure 1 from the paper.