Fudan International Seminar on Analysis, PDEs and Fluid mechanics

2022 01 11 Seminaras Fudan

The speaker: Professor Igor Pazanin ((University of Zagreb, Croatia)

Title of the talk: “The effective boundary condition on a porous wall”

Time: Thursday, 13 of January, 15:00 - 16:00.

Abstract: The aim of this talk is to present the derivation of the new effective boundary condition for the fluid flow in a domain with porous boundary. Starting from the Stokes system in a domain with an array of small holes on the boundary and using the homogenization and the boundary layers, we find an effective law in the form of generalized Darcy law. If the pores geometry is isotropic, then the condition splits in Beavers-Joseph type condition for the tangential flow and the standard Darcy condition for the normal flow. In the second part of the talk, we study the roughness-induced effects on the proposed Darcy-type boundary condition.
The talk is based on the joint work with Eduard Marusic-Paloka.

ZOOM link:

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

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.


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