Return to Colloquia & Seminar listing
Uniform linear inviscid damping and vorticity depletion near non-monotonic shear flows
PDE and Applied Math Seminar| Speaker: | Raj Beekie, Duke University |
| Location: | Zoom https://ucdavis.zoom.us/j/92430148899 |
| Start time: | Thu, Oct 31 2024, 4:10PM |
In this talk I will discuss the long-time dynamics of the linearized Navier Stokes equations near spectrally stable shear flows on a torus. Physically, there are two significant phenomena: inviscid damping of velocity fields over time and depletion of vorticity from critical points of the shear flow. In recent years the mechanisms for both phenomena have been gradually understood in the context of ideal fluids. A natural question is whether the same phenomena would occur in the viscous case when the viscosity is small. I will discuss some recent progress on this problem which establishes linear inviscid damping and vorticity depletion that are uniform with respect to viscosity. This is joint work with Shan Chen and Hao Jia