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Cotygodniowe seminarium badawcze
Organizatorzy
- prof. dr hab. Grzegorz Łukaszewicz
Informacje
czwartki, 12:30 , sala: 5070Dziedziny badań
Lista referatów
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28 kwietnia 2022 12:30
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 …
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21 kwietnia 2022 12:30
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 …
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31 marca 2022 12:30
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 …
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24 marca 2022 12:30
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
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17 marca 2022 12:30
Tomasz Dębiec / Bartosz Bieganowski (Sorbonne University / IMPAN)
On incompressible limit for some tissue growth models / Solutions to nonlinear Schroedinger-type problems - recent results and future plans
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 …
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10 marca 2022 12:30
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 …
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3 marca 2022 12:30
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 …
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27 stycznia 2022 12:30
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 …
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20 stycznia 2022 12:30
Tomasz Cieslak (IMPAN)
Spirale Prandla
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 …
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16 stycznia 2022 12:30
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 …
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9 grudnia 2021 12:30
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 …
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2 grudnia 2021 12:30
Grzegorz Rempała (Ohio State University)
Modeling a new pandemic with an old equation. Ohio statewide SIR models for COVID-19
The COVID-19 pandemic has inspired much work on mathematical models of epidemics over the past 20 months. In particular, the classical ODE model of susceptible-infected-recovered (SIR) and its modifications have been frequently used for various …
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25 listopada 2021 12:30
Tomasz Dłotko (Uniwersytet Śląski w Katowicach)
Równanie Naviera-Stokesa jako krytyczne równanie paraboliczne
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18 listopada 2021 12:30
Karol Bołbotowski (Politechnika Warszawska)
On topics in optimal design of elastic structures and links to the Monge-Kantorovich problem
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4 listopada 2021 12:30
Wojciech Szkółka (Department of Atmospheric Physics, Institute of Geophysics, Polish Academy of Sciences)
Equatorial Kelvin waves, their vertical structure, and activity in the Indonesian area
