On Shear and Diffusion in Fluid Flows
Event details
| Date | 26.03.2021 |
| Hour | 14:15 |
| Speaker | Dr. Dallas ALBRITTON, Courant Institute of Mathematical Sciences |
| Location | Online |
| Category | Conferences - Seminars |
Abstract: We consider the evolution of a passive scalar (for example, a temperature distribution) which is transported by a fluid flow and diffuses. It is well known that shear in the background flow may interact with the diffusion to cause the solution to decay faster than it would by diffusion alone. This so-called *enhanced dissipation* has been widely studied in the PDE community over the past two decades. We reanalyze this phenomenon from the new but old perspective of Hormander's classical work on hypoellipticity. This allows us to give short and, in our opinion, transparent proofs of enhanced dissipation in shear flows. Time permitting, we will also discuss rough shears and the sharp threshold for passive scalars to lose smoothness.
Practical information
- General public
- Free
Organizer
- Prof. Maria Colombo
Contact
- Prof. Maria Colombo