6 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 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…
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…
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…
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…