The next meeting of “Fudan International Seminar on Analysis, PDEs, and Fluid Mechanics” will take place on Thursday, October 24, 2024.
The next talk: Professor Gianmarco Sperone (Pontifical Catholic University of Chile)
Title of the talk: “On the planar Taylor--Couette system and related exterior problems”
Time: Thursday, 24 of October, 21:00 - 22:00 (Shanghai time), 15:00 - 16:00 (Rome and Paris time), 14:00 -15:00 (London time), 16:00 - 17:00 (Vilnius and Tel-Aviv time), 9:00-- 10:00 a.m. (US ET)
Abstract: We consider the planar Taylor-Couette system for the steady motion of a viscous incompressible fluid in the region between two concentric disks, the inner one being at rest and the outer one rotating with constant angular speed. We study the uniqueness and multiplicity of solutions to the forced system in different classes. For any angular velocity, we prove that the classical Taylor-Couette flow is the unique smooth solution displaying rotational symmetry. Instead, we show that infinitely many solutions arise, even for arbitrarily small angular velocities, in a larger class of incomplete solutions that we introduce. By prescribing the transversal flux, the unique solvability of the Taylor-Couette system is recovered among rotationally invariant incomplete solutions. Finally, we study the behavior of these solutions as the radius of the outer disk goes to infinity, connecting our results with the celebrated Stokes paradox. This is a joint work with Filippo Gazzola (Politecnico di Milano) and Jiří Neustupa (Institute of Mathematics of the Czech Academy of Sciences).
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 PastTalks section
We sincerely hope you will be able to participate.
Best regards,
Organizing Committee: Professors Zhen Lei, Mikhail Korobkov,
Adele Ferone, Remigio Russo, and Konstantin Pileckas
The 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. Lectures are scheduled on Thursdays, by ZOOM, with 60 minutes every talk.