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The speaker: Professor Julien Guillod (Sorbonne University, France).

Title of the talk: “Stationary Navier–Stokes equations in the plane”.

Time: Thursday, 20 of May 2021, 16:00 - 17:00.

AbstractThe aim of this talk is to review the current knowledge on the steady solutions of the Navier–Stokes equations in the whole two-dimensional plane. This case is more difficult than the three-dimensional space for some reasons that will be discussed. In the first part, I will discuss the construction of weak solutions through topological methods, and in the second part how the scaling invariance can be used to construct perturbative solutions. I will mainly focus on the open problems and introduce some numerical results and conjectures.

ZOOM link:

https://us02web.zoom.us/j/83673138944?pwd=azQyc1BwUjJFY3VjMStLbFR5Z2VwUT09

ZOOM Id: 836 7313 8944

Passcode: 808818

We are pleased to inform you that the information on previous talks is available on the seminar web page https://researchseminars.org/seminar/Cafe_Analysis_and_Fluid see Past Talks section.

Organizing Committee: Professors Zhen Lei, Mikhail Korobkov, Adele Ferone, Remigio Russo and Konstantin Pileckas.

This seminar is organized by Fudan University (Shanghai, China) with the collaboration of Universita degli studi della Campania "Luigi Vanvitelli" (Caserta, Italy) and Vilnius University (Vilnius, Lithuania). This seminar is meant to gather renowned experts working on Geometric and Real Analysis with applications to PDEs and Mathematical Physics and represents an opportunity for presenting high-impact research, as well as facilitating the exchange of ideas between researchers.