The speaker: Professor Grigory Panasenko (University Jean Monnet and Vilnius University).
Title of the talk: “Asymptotic analysis and method of partial asymptotic dimension reduction for thin tube structures”.
Time: Thursday, 18 of May, 16:00 - 17:00.
Abstract: The talk briefly presents the results of asymptotic analysis for non-Newtonian flows in thin tube structures (see G. Panasenko, K.Pileckas, and B.Vernescu “Steady state non-Newtonian flow with strain rate dependent viscosity in thin tube structure with no slip boundary condition”, Mathematical Modelling of Natural Phenomena 17, 2022, 36pp. www.mmnp-journal.org (open access)) and introduces the method of partial asymptotic dimension reduction (PADRED) (see G. Panasenko, K.Pileckas, “Partial asymptotic dimension reduction for steady state non-Newtonian flow with strain rate dependent viscosity in thin tube structure”, J.Math. Fluid. Mech., 25:11, 2023, https://doi.org/10.1007/s00021-022-00749-5). The computation of the leading term of the solution is related to the equation on the graph, which is an elliptic nonlinear problem. We introduce a numerical method to solve the equation on the graph and apply it to the realistic network of blood vessels.
ZOOM Id: 836 7313 8944
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.