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Cotygodniowe seminarium badawcze
2022-06-09, godz. 12:30, Zoom
Sadokat Malikova (SDNŚiP)
Approximation of rigid obstacle by highly viscous fluid
This talk is devoted to the problem concerning the approximation of a rigid obstacle for flows governed by the stationary Navier-Stokes equations in the two-dimensional case. The idea is to consider a highly viscous fluid in the place of the obstacle. Formally, as the fluid viscosit...
2022-06-02, godz. 12:30, Zoom
Maja Szlenk (SDNŚiS)
On the equations modelling certain non-Newtonian compressible fluids
The talk is devoted to the problem of existence of weak solutions to the compressible Stokes system with variable viscosity coefficients. Depending on the form of the stress tensor, different tools are required to deal with the obtained system. I will compare some types of equations modelling non-Ne...
2022-05-26, godz. 12:30, Zoom (see below)
Łukasz Chomienia (SDNŚiP UW)
Higher regularity of weak solutions on low-dimensional structures
The talk is devoted to a regularity of weak solutions of elliptic PDEs on irregular, lowdimensional subsets of the Euclidean space. Due to the singular nature of considered structures and technicalities related to functional spaces, it is not possible to apply standard regularity theorems in a st...
2022-05-05, godz. 12:30, Zoom (link below the abstract)
Arttu Karppinen (MIM UW )
Stability of solutions to elliptic PDEs under Musielak-Orlicz growth
We investigate stability of solutions to elliptic nonlinear partial differential equations -div(A_i(x,Du))=0 when the growth rate of the differential operator A_i varies. A model example would be to consider solutions of p_i-Laplace equations with p_i converging to some p. Our framework considers Mu...
2022-04-28, godz. 12:30, Zoom (szczegóły niżej)
John Shaw (Department of Geosciences, University of Arkansas)
Necessary conditions for the stability of simple loops
Many self-formed flow networks in nature are loopy, and these loops can occur because of adaptation to fluctuating hydrologic boundary conditions. However, the relationship between fluctuations and loop stability has not been thoroughly tested at the scale of a single loop. We use linear stabi...
2022-04-21, godz. 12:30, Zoom (link niżej)
Tomasz Piasecki (MIM UW)
Stability of the density patches problem with vacuum for incompressible inhomogeneous viscous flows"
The talk will be based on a recent joint work with Piotr B. Mucha and Raphael Danchin. We consider the inhomogeneous incompressible Navier-Stokes system in a smooth two or three dimensional bounded domain, in the case where the initial density is only bounded. Existence and uniqueness for such init...
2022-03-31, godz. 12:30, Zoom (szczegóły niżej)
Prof. Krzysztof Kazimierczuk (Laboratory of NMR Spectroscopy, Centre of New Technologies, University of Warsaw)
NMR spectroscopy as a playground for armchair mathematicians
Nuclear magnetic resonance (NMR) spectroscopy is a branch of chemical analysis, finding applications in material science, structural biology, chemical synthesis, pharma industry, food profiling, medical screening and many other fields. To apply NMR, we need to have a basic knowledge at many lev...
2022-03-24, godz. 12:30, Zoom (szczegóły poniżej)
Adam Kajzer (IMP PAN Gdańsk)
A weakly compressible, diffuse‑interface model for two‑phase flows
W załączniku. ------------------------------------------------------------------------- Zoom: https://us02web.zoom.us/j/82881783943?pwd=TUp3OGNvZ3R5akpXclZESmx2aGVkUT09 ...
2022-03-17, godz. 12:30, Zoom
Tomasz Dębiec / Bartosz Bieganowski (Sorbonne University / IMPAN)
Abstract (TD): I will discuss some approaches to mathematical modelling of living tissues, with applications to tumour growth. In particular, I will describe recent results related to the incompressible limit of a compressible model which builds a bridge between density-based description and a geo...
2022-03-10, godz. 12:30, Zoom - szczegóły pod abstraktem
Panayotis Smyrnelis ( Basque Center for Applied Mathematics)
Heteroclinic double layers for the vector Allen-Cahn and Fisher-Kolmogorov P.D.E
The first constructions of heteroclinic double layers for the vector Allen-Cahn P.D.E. are due to Alama-Bronsard-Gui (1997), and Schatzman (2002). It is an important result establishing also the existence of two dimensional minimal solutions. I will present a method applicable to construct...
