2D flows with random initial vorticity

Appears in collection : 2026 - T2 - WS1 - Vortices and vorticity in geophysical flows

We consider a random initial vorticity $\omega_0(x) = \sum_{n\in \mathbb{Z}^2} a_n \phi(x-n)$, where $\phi$ is bounded and compactly supported and {a_n} are independent, uniformly bounded, mean $0$, variance $1$ random variables (in other words, $\omega_0$ is an array of randomly weighted vortex blobs). We prove global well-posedness of weak solutions to the Euler equations in $\mathbb{R}^2$ for almost every such initial vorticity.

Information about the video

Date of recording 20/04/2026
Date of publication 19/05/2026
Institution IHP
Licence CC BY NC ND
Language English
Audience Researchers, Graduate Students
Director(s) Service audiovisuel de l'IHP
Format MP4
Venue IHP - Hermite Amphitheater

Citation data

DOI 10.57987/IHP.2026.T2.WS1.002
Cite this video da Costa Lopes Filho, Milton (20/04/2026). 2D flows with random initial vorticity. IHP. Audiovisual resource. DOI: 10.57987/IHP.2026.T2.WS1.002
URL https://dx.doi.org/10.57987/IHP.2026.T2.WS1.002