Advection by shears with critical points in the presence of diffusion
Event details
| Date | 08.05.2026 |
| Hour | 14:15 |
| Speaker | Prof. Rajendra Beekie (Imperial College London) |
| Location | |
| Category | Conferences - Seminars |
| Event Language | English |
Abstract:
Shear flows are one of the most well studied classes of vector fields. An important feature of shear flows is their ability to generate small scales and mix quantities that they transport. For passive scalar transport, these mixing rates can be quantified in a rather straightforward way.
Shear flows are one of the most well studied classes of vector fields. An important feature of shear flows is their ability to generate small scales and mix quantities that they transport. For passive scalar transport, these mixing rates can be quantified in a rather straightforward way.
However, quantifying mixing rates for 2d Euler linearized around non-monotone shears is surprisingly subtle due to an effect known as vorticity depletion which is not present in the passive transport case. Since real fluids have viscosity, a natural question is to understand whether mixing rates persist in the presence of viscosity. In this talk, I will discuss recent progress on addressing this question for both the passive scalar advection-diffusion equation and the linearized Navier-Stokes equation. Based on joint work with Dallas Albritton (University of Wisconsin), Shan Chen (University of Minnesota), and Hao Jia (University of Minnesota).
Practical information
- General public
- Free
Organizer
- Prof. Maria Colombo
Contact
- Dr. Michele Dolce