3 citations · 4 across the 5 of their papers we have counts for
7 papers
The role of boundary conditions in scaling laws for turbulent heat transport
Camilla Nobili
In most results concerning bounds on the heat transport in the Rayleigh-Bénard convection problem no-slip boundary conditions for the velocity field are assumed. Nevertheless it is…
Bounds on heat flux for Rayleigh-Bénard convection between Navier-slip fixed-temperature boundaries
Theodore D. Drivas, Huy Q. Nguyen, Camilla Nobili
We study two-dimensional Rayleigh-Bénard convection with Navier-slip, fixed temperature boundary conditions and establish bounds on the Nusselt number. As the slip-length varies wi…
Uniqueness for degenerate parabolic equations in weighted spaces
Camilla Nobili, Fabio Punzo
We study uniqueness of solutions to degenerate parabolic problems, posed in bounded domains, where no boundary conditions are imposed. Under suitable assumptions on the operator, u…
New bounds on the vertical heat transport for Bénard-Marangoni convection at infinite Prandtl number
Giovanni Fantuzzi, Camilla Nobili, Andrew Wynn
We prove a new rigorous upper bound on the vertical heat transport for Bénard-Marangoni convection of a two- or three-dimensional fluid layer with infinite Prandtl number. Precisel…
Renormalization and energy conservation for axisymmetric fluid flows
Camilla Nobili, Christian Seis
We study vanishing viscosity solutions to the axisymmetric Euler equations with (relative) vorticity in with . We show that these solutions satisfy the corresponding vor…
Eulerian and Lagrangian solutions to the continuity and Euler equations with vorticity
Gianluca Crippa, Camilla Nobili, Christian Seis +1
In the first part of this paper we establish a uniqueness result for continuity equations with velocity field whose derivative can be represented by a singular integral operator of…