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Cotygodniowe seminarium badawcze
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...
2022-03-03, godz. 12:30, Zoom - szczegóły pod abstraktem
Iwona Chlebicka (MIM UW)
Potential estimates and local behavior of solutions to nonlinear elliptic equations and systems
We consider measure-data elliptic problems involving a second-order operator in a divergence form exhibiting Orlicz growth and having measurable coefficients. As known in the p-Laplace case, pointwise estimates for solutions expressed with the use of nonlinear potentials are powerful tools in the st...
2022-01-27, godz. 12:30, Zoom - szczegóły pod abstraktem
Dariusz Wrzosek (MIM UW)
Chemotaxis and pattern formation in predator-prey models
The Rosenzweig-MacArthur predator-prey model, was extended to include the prey's defense mechanism of escaping against the concentration gradient of a chemical signaling the presence of a predator (odor trace). Various variants of the model, which is a system of quasilinear parabolic eq...
2022-01-20, godz. 12:30, Zoom
Tomasz Cieslak (IMPAN)
Abstract: In my talk, I will review a recent result with P. Kokocki and W.S. Ozanski stating that Prandtl's spirals are weak solutions to the 2d Euler equations. Abstract: In my talk, I will review a recent result with P. Kokocki and W.S. Ozanski stating that Prandtl&...
2022-01-16, godz. 12:30, Zoom
Jan Peszek (MIM UW)
Fibered optimal transport introduces heterogeneity to gradient flows
There is a well-known, deep relationship between continuity equation and gradient flows with respect to the 2-Wasserstein metric. This connection provides an alternative description of well-known models and PDEs: Fokker-Planck, Vlasov, Keller--Segel, Kuramoto and many models of first-order collectiv...
2021-12-09, godz. 12:30, Zoom
Zbigniew Peradzyński (MIM UW)
Calcium Waves Supported by Stress activated Ion Channels
Living cells and tissues can generate and transmit waves of chemical or electrochemical nature. The waves of calcium concentration are probably most familiar. There are several types of such waves, ultraslow, slow, fast and ultrafast. The range of their speed runs from 1 nm/s to 30&nb...
