Tuesday, November 25, 2025 - 16:00 in V2-200
Superexponential dissipation enhancement on $T^d$
A talk in the CRC Seminar series by
Keefer Rowan
| Abstract: |
We construct incompressible velocity fields that exhibit faster than exponential dissipation for particular solutions to the advection-diffusion equation on $\mathbb{T}^d$. In 2D, we construct a velocity field in $L^\infty_{t,x}$ and exhibit a solution that decays with double exponential rate $e^{-C^{-1} e^{C^{-1}t}}$. In 3D, we construct a velocity field in $L^\infty_t W^{1,\infty}_x$ and exhibit a solution that decays with rate $e^{-C^{-1} t^2}$. In 4D, we construct a velocity field in $L^\infty_t C^\infty_x$ and exhibit a solution that decays with *some* superexponential rate.
Within the CRC this talk is associated to the project(s): B7 |
Back
