Dr Camilla Nobili
About
Biography
Appointments held:
From 02.22: Lecturer in Mathematics, 糖心Vlog, 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 糖心Vloging researcher CRC 1060, University of Bonn, Germany
Education:
11.2015: PhD in Mathematics, Max-Planck-Institute (MPI MIS)
Thesis title: 鈥淭urbulent convection: bounds on the Nusselt number鈥 Advisor: Felix Otto
10.2011: MSc in Mathematics, Sapienza University of Rome
Thesis title: 鈥淪emilinear parabolic equations in the hyperbolic space鈥 Advisor: Alberto Tesei
07.2009 BSc in Mathematics, Sapienza University of Rome
Thesis title: 鈥淐omparison of solutions to differential problems via symmetrization鈥 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-B茅nard 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-B茅nard convection, increase with turbulence.
Supervision
Postgraduate research supervision
Johannes Benthaus at 糖心Vlog.
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", 糖心Vlog.
02.25-06.25: Module Leader of the course "Mathematical Fluid Mechanics", 糖心Vlog.
02.24-06.24: Module Leader of the course "Linear PDEs", 糖心Vlog.
09.23-12.23: Module Leader of the course "Mathematical Fluid Mechanics", 糖心Vlog.
02.22-06.22: Module Leader of the course "Linear PDEs", 糖心Vlog.
10.21-01.22: Module Leader of the Master course 鈥淧artial Differential Equations鈥 (in English), University of Hamburg.
10.21-01.22: Organizer of the seminar series 鈥淎dvanced topics in PDEs鈥 (in English), University of Hamburg.
04.21-07.21: Module Leader of the Master course 鈥淧artial Differential Equations 2鈥 (in English), University of Hamburg.
11.20-02.21: Module Leader of the Master course 鈥淧artial Differential Equations鈥 (in English), University of Hamburg.
04.20-07.20: Module Leader of the Master course 鈥淗armonic Analysis/PDEs鈥 (in English), University of Hamburg.
04.20-07.20: Organizer of the Seminar 鈥淪elected topics in modern Fourier Analysis鈥 for Master programs, University of Hamburg. In collaboration with Felix Schwenninger.
10.19-01.20: Module Leader of the Master course 鈥淎dvanced Topics in Fluid Dynamics: Vorticity, incompressible flows and turbulence 鈥 (in English), University of Hamburg.
04-07.19: Module Leader for the Master Course 鈥淗armonic analysis鈥 (in English), University of Hamburg
12.18-01.19: Module Leader for the Master Course 鈥淎dvanced Topics in Fluid Dynamics: Introduction to the 3D Navier-Stokes Equations鈥 (in English), University of Hamburg
10-11.18: Module Leader for the Master Course 鈥淣onlinear Systems鈥 (in English), University of Hamburg
04-07.18: Module Leader for the Bachelor Course 鈥淒ifferential Equations and Dynamical Systems鈥 (in German), University of Hamburg
09-12.17: Module Leader for the Bachelor Course 鈥淩eal Analysis鈥 (in German), University of Basel
09-12.16: Module Leader for the Bachelor Course 鈥淩eal Analysis鈥 (in German), University of Basel