Here are links to my publications: Google Scholar
My research lies at the interface of analysis and mathematical physics, focusing on partial differential equations arising in fluid mechanics, transport phenomena, turbulence, and stochastic systems
Simulation by Fabian Bleitner
Fabian Bleitner, Elizabeth Carlson and Camilla Nobili (2025) Large time behaviour of the 2D thermally non-diffusive Boussinesq equations with Navier-slip boundary conditions
Fabian Bleitner and Camilla Nobili (2024) Scaling laws for Rayleigh–Bénard convection between Navier-slip boundaries
Fabian Bleitner and Camilla Nobili (2024) Bounds on heat transport for two-dimensional buoyancy driven flows between rough boundaries
Camilla Nobili (2022) The role of boundary conditions in scaling laws for turbulent heat transport
Theodore D. Drivas, Huy Q. Nguyen and Camilla Nobili (2022) Bounds on heat flux for Rayleigh–Bénard convection between Navier-slip fixed-temperature boundaries
Giovanni Fantuzzi, Camilla Nobili and Andrew Wynn (2020) New bounds on the vertical heat transport for Bénard–Marangoni convection at infi nite Prandtl number
Camilla Nobili and Felix Otto (2017) Limitations of the background field method applied to Rayleigh-Bénard convection.
Felix Otto, Steffen Pottel and Camilla Nobili (2017) Rigorous bounds on scaling laws in fluid dynamics
Antoine Choffrut, Camilla Nobili and Felix Otto (2016) Upper bounds on Nusselt number at finite Prandtl number
Antoine Choffrut, Camilla Nobili and Felix Otto (2016) A maximal regularity estimate for the non-stationary Stokes equation in the strip.
Camilla Nobili (2015) Turbulent convection: bounds on the Nusselt number.
Johannes Bentahus, Giuseppe Maria Coclite and Camilla Nobili (2026) Mixing and enhanced dissipation in a time-translating shear flow (Arxiv)
Johannes Benthaus and Camilla Nobili (2025) Enhanced Dissipation via time-modulated velocity fields
Anna L. Mazzucato, Yuanyuan Feng and Camilla Nobili (2025) Enhanced dissipation by advection and applications to PDEs
Yuanyuan Feng, Anna L.Mazzucato and Camilla Nobili (2023) Enhanced dissipation by circularly symmetric and parallel pipe flows
Camilla Nobili and Steffen Pottel (2022) Lower bounds on mixing norms for the advection diffusion equation in ℝ^𝑑
Charles Doering and Camilla Nobili (2017) Lectures on stirring, mixing and transport.
Leonardo Da Vinci’s depiction of turbulence
Camilla Nobili and Christian Seis (2019) Renormalization and energy conservation for axisymmetric fluid flows
Gianluca Crippa, Camilla Nobili, Christian Seis and Stefano Spirito (2017) Eulerian and Lagrangian solutions to the continuity and Euler equations with L^1 vorticity.
Camilla Nobili and Fabio Punzo (2022) Uniqueness for degenerate parabolic equations in weighted L^1 spaces
Fabian Bleitner and Camilla Nobili (2023) Lower Bounds for the Advection-Hyperdiffusion Equation
Peter Constantin, Laura Gioia Keller and Camilla Nobili (2017) Existence, uniqueness, regularity and long time behavior of hydrodynamic evolution equations
PhD students:
Fabian Bleitner (now Postdoc at McMaster University)
Johannes Bethaus (current at University of Surrey)