The speaker: Professor Maria Specovius (Universität Kassel, Germany).
Title of the talk: "Some special aspects on the decomposition of vector fields".
Time: Thursday, 25 of April 2024, 15:00 - 16:00.
Abstract: The decompositions of vector fields into a divergence free part and a gradient field play a fundamental role in the theory of the continuum mechanics, in particular for the Navier- Stokes system. They are closely related to boundary value problems for the Laplace equation and still objects of recent research, lately in particular in unbounded domains and domains with nonsmooth boundaries. Of course, it is not possible to give a complete overview on more than thousand publications on this subject in one lecture. The purpose of this lecture is to outline some of the general principles, in particular for domains with more or less explicitly given boundary singularities. In particular for so called model problems it is astonishingly easy to combine well known results with duality arguments to get a bunch of decomposition results.
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
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.