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Cotygodniowe seminarium badawcze
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...
2021-12-02, godz. 12:30, Zoom
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 predictions and statistical analysis of the epide...
2021-11-25, godz. 12:30, Zoom
Tomasz Dłotko (Uniwersytet Śląski w Katowicach)
Równanie Naviera-Stokesa jako krytyczne równanie paraboliczne
2021-11-18, godz. 12:30, Zoom
Karol Bołbotowski (Politechnika Warszawska)
On topics in optimal design of elastic structures and links to the Monge-Kantorovich problem
2021-11-04, godz. 12:30, Zoom
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
2021-10-28, godz. 12:30, Zoom
Anastasia Molchanova (University of Vienna)
Equilibria of charged hyperelastic solids
We investigate the equilibria of charged deformable materials via the minimization of electroelastic energy. This features the coupling of elastic response and electrostatics by means of a capacitary term, which is naturally defined in Eulerian coordinates. The ensuing electroelastic energy is then ...
