Dr Camilla Nobili
鶹Ƶ
Biography
Appointments held:
From 02.22: Lecturer in Mathematics, 鶹Ƶ, UK.
01.18-01.22: W1 - Junior Professor in Mathematics (Differential Equation and Dynamical systems), University of Hamburg, Germany
05.15-12.1: Postdoc in Applied Mathematics, University of Basel, Switzerland
06-08.16 Visiting researcher CRC 1060, University of Bonn, Germany
Education:
11.2015: PhD in Mathematics, Max-Planck-Institute (MPI MIS)
Thesis title: “Turbulent convection: bounds on the Nusselt number” Advisor: Felix Otto
10.2011: MSc in Mathematics, Sapienza University of Rome
Thesis title: “Semilinear parabolic equations in the hyperbolic space” Advisor: Alberto Tesei
07.2009 BSc in Mathematics, Sapienza University of Rome
Thesis title: “Comparison of solutions to differential problems via symmetrization” Advisor: Filomena Pacella
07.2006 Diploma Liceo Scientifico Farnesina, Rome
Areas of specialism
ResearchResearch interests
My research centers on the analysis of partial differential equations (PDEs) inspired by problems in fluid mechanics. Specifically, I am interested in deriving bounds for physical quantities in turbulent flows, such as heat transport, mixing efficiency, and energy dissipation. To achieve this, I employ variational methods and regularity techniques. These quantitative bounds are significant not only for their ability to replicate or suggest scaling laws but also because they provide insight into the behavior of time-averaged solutions of the equations under consideration. Furthermore, this type of analysis highlights the role of turbulence as a factor that enhances physical processes. For example, experiments reveal that many physical quantities, such as the Nusselt number in Rayleigh-Bénard convection, increase with turbulence.
Research interests
My research centers on the analysis of partial differential equations (PDEs) inspired by problems in fluid mechanics. Specifically, I am interested in deriving bounds for physical quantities in turbulent flows, such as heat transport, mixing efficiency, and energy dissipation. To achieve this, I employ variational methods and regularity techniques. These quantitative bounds are significant not only for their ability to replicate or suggest scaling laws but also because they provide insight into the behavior of time-averaged solutions of the equations under consideration. Furthermore, this type of analysis highlights the role of turbulence as a factor that enhances physical processes. For example, experiments reveal that many physical quantities, such as the Nusselt number in Rayleigh-Bénard convection, increase with turbulence.
Supervision
Postgraduate research supervision
Postgraduate research supervision
Johannes Benthaus at 鶹Ƶ.
Topic: Enhanced dissipation and fluid mixing
at University of Hamburg.
Topic: Turbulent convection
Teaching
02.25-06.25: Module Leader of the course "Linear PDEs", 鶹Ƶ.
02.25-06.25: Module Leader of the course "Mathematical Fluid Mechanics", 鶹Ƶ.
02.24-06.24: Module Leader of the course "Linear PDEs", 鶹Ƶ.
09.23-12.23: Module Leader of the course "Mathematical Fluid Mechanics", 鶹Ƶ.
02.22-06.22: Module Leader of the course "Linear PDEs", 鶹Ƶ.
10.21-01.22: Module Leader of the Master course “Partial Differential Equations” (in English), University of Hamburg.
10.21-01.22: Organizer of the seminar series “Advanced topics in PDEs” (in English), University of Hamburg.
04.21-07.21: Module Leader of the Master course “Partial Differential Equations 2” (in English), University of Hamburg.
11.20-02.21: Module Leader of the Master course “Partial Differential Equations” (in English), University of Hamburg.
04.20-07.20: Module Leader of the Master course “Harmonic Analysis/PDEs” (in English), University of Hamburg.
04.20-07.20: Organizer of the Seminar “Selected topics in modern Fourier Analysis” for Master programs, University of Hamburg. In collaboration with Felix Schwenninger.
10.19-01.20: Module Leader of the Master course “Advanced Topics in Fluid Dynamics: Vorticity, incompressible flows and turbulence ” (in English), University of Hamburg.
04-07.19: Module Leader for the Master Course “Harmonic analysis” (in English), University of Hamburg
12.18-01.19: Module Leader for the Master Course “Advanced Topics in Fluid Dynamics: Introduction to the 3D Navier-Stokes Equations” (in English), University of Hamburg
10-11.18: Module Leader for the Master Course “Nonlinear Systems” (in English), University of Hamburg
04-07.18: Module Leader for the Bachelor Course “Differential Equations and Dynamical Systems” (in German), University of Hamburg
09-12.17: Module Leader for the Bachelor Course “Real Analysis” (in German), University of Basel
09-12.16: Module Leader for the Bachelor Course “Real Analysis” (in German), University of Basel