20 citations · 41 across the 15 of their papers we have counts for
17 papers
Mixing and enhanced dissipation in a time-translating shear flow
Johannes Benthaus, Giuseppe Maria Coclite, Camilla Nobili
Motivated in part by the work of Vanneste and Byatt-Smith, we study mixing and enhanced dissipation for the advection-diffusion equation with velocity field $\mathbf{u}(x,y,t)=(\si…
Enhanced dissipation by advection and applications to PDEs
Anna L. Mazzucato, Yuanyuan Feng, Camilla Nobili
This survey provides a concise yet comprehensive overview on enhanced dissipation phenomena, transitioning seamlessly from the physical principles underlying the interplay between…
Enhanced Dissipation via time-modulated velocity fields
Johannes Benthaus, Camilla Nobili
Motivated by mixing processes in analytical laboratories, this work investigates enhanced dissipation in non-autonomous flows. We study the evolution of concentrations governed by…
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. Th…
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…
Lower Bounds for the Advection-Hyperdiffusion Equation
Fabian Bleitner, Camilla Nobili
Motivated by [7], we study the advection-hyperdiffusion equation in the whole space in two and three dimensions with the goal of understanding the decay in time of the - an…
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 function…
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…
Lower bounds on mixing norms for the advection diffusion equation in
Camilla Nobili, Steffen Pottel
An algebraic lower bound on the energy decay for solutions of the advection-diffusion equation in with is derived using the Fourier splitting method. Motivat…
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…
A maximal regularity estimate for the non-stationary Stokes equation in the strip
Antoine Choffrut, Camilla Nobili, Felix Otto
In a dimensional strip with , we study the non-stationary Stokes equation with no-slip boundary condition in the lower and upper plates and periodic boundary condition…
Limitations of the background field method applied to Rayleigh-Bénard convection
Camilla Nobili, Felix Otto
We consider Rayleigh-Bénard convection as modeled by the Boussinesq equations, in case of infinite Prandtl number. There is a broad interest in bounds of the upwards heat flux, as…
Upper bounds on Nusselt number at finite Prandtl number
Antoine Choffrut, Camilla Nobili, Felix Otto
We study Rayleigh Bénard convection based on the Boussinesq approximation. We are interested in upper bounds on the Nusselt number , the upwards heat transport, in ter…