Dr Camilla Nobili
About
Biography
Appointments held:
From 02.22: Lecturer in Mathematics, University of Surrey, 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
ResearchResearch interests
My research focuses on the analysis of partial differential equations motivated by problems in fluid mechanics. In particular, one of my interests is at deriving bounds for physical quantities in turbulent flows (such as heat transport, mixing degree, energy dissipation) by employing variational methods and regularity techniques. Quantitative bounds are not only important in the way they may reproduce or indicate scaling laws but also because they capture important behaviour of time-averaged solutions of the equation in consideration. Moreover this type of analysis describes the role of turbulence as an enhancement factor: in fact in experiments it is observed that many physical quantities (like the Nusselt number for Rayleigh-Bénard convection) increase with turbulence.
Research interests
My research focuses on the analysis of partial differential equations motivated by problems in fluid mechanics. In particular, one of my interests is at deriving bounds for physical quantities in turbulent flows (such as heat transport, mixing degree, energy dissipation) by employing variational methods and regularity techniques. Quantitative bounds are not only important in the way they may reproduce or indicate scaling laws but also because they capture important behaviour of time-averaged solutions of the equation in consideration. Moreover this type of analysis describes the role of turbulence as an enhancement factor: in fact in experiments it is observed that many physical quantities (like the Nusselt number for Rayleigh-Bénard convection) increase with turbulence.
Supervision
Postgraduate research supervision
Teaching
02.22-06.22: Lecturer of the course "Linear PDEs", University of Surrey.
10.21-01.22: Lecturer 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: Lecturer of the Master course “Partial Differential Equations 2” (in English), University of Hamburg.
11.20-02.21: Lecturer of the Master course “Partial Differential Equations” (in English), University of Hamburg.
04.20-07.20: Lecturer 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: Lecturer of the Master course “Advanced Topics in Fluid Dynamics: Vorticity, incompressible flows and turbulence ” (in English), University of Hamburg.
04-07.19: Lecturer for the Master Course “Harmonic analysis” (in English), University of Hamburg
12.18-01.19: Lecturer for the Master Course “Advanced Topics in Fluid Dynamics: Introduction to the 3D Navier-Stokes Equations” (in English), University of Hamburg
10-11.18: Lecturer for the Master Course “Nonlinear Systems” (in English), University of Hamburg
04-07.18: Lecturer for the Bachelor Course “Differential Equations and Dynamical Systems” (in German), University of Hamburg
09-12.17: Lecturer for the Bachelor Course “Real Analysis” (in German), University of Basel
09-12.16: Lecturer for the Bachelor Course “Real Analysis” (in German), University of Basel
Assistant to the Master Course “Function Spaces and Partial Differential Equations” (in English), University of Basel
02-06.16: Assistant to the Master Course “Harmonic Analysis” (in English), University of Basel