The speaker: Professor Piotr B. Mucha (University of Warsaw, Poland)
Title of the talk: “A new construction of weak solutions to compressible Navier-Stokes equations”
Time: Thursday, 15 of December, 15:00 - 16:00.
Abstract: I plan to talk about the existence of the weak solutions to the compressible Navier--Stokes system with barotropic pressure for $\gamma \geq 9/5$ in three dimension. The novelty of the paper is the approximation scheme that instead of the classical regularization of the continuity equation (based on the viscosity approximation $\epsilon \Delta$) uses more direct truncation and regularisation of nonlinear terms an the pressure. This scheme is compatible with the Bresch-Jabin compactness criterion for the density. We revisit this criterion and prove, in full rigour, that it can be applied in our approximation at any level.
Based on: Nilasis Chaudhuri, Piotr B. Mucha, Ewelina Zatorska -- arXiv:2211.12189
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.
2022-12-13