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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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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
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28 października 2021 12:30
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 …
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21 października 2021 12:30
Mikołaj Sierżęga (MIM UW)
Optimal Liouville theorem for a semilinear Ornstein-Uhlenbeck equation
In their seminal 1985 paper, Giga and Kohn analyzed the blow-up behavior of the subcritical Fujita equation via a Liouville theorem for an associated elliptic equation of Ornstein-Uhlenbeck type. In subsequent work, Giga provided a conditional …
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14 października 2021 12:30
Marek Grądzki (Institute of Geophysics, PAN)
Interactions between the magnetorotational and magnetic buoyancy instabilities in a compressible conducting fluid
Magnetohydrodynamic instabilities are believed to play an important role in the evolution of astrophysical objects such as stars and accretion disks. Magnetic buoyancy instability (MBI) appears when the toroidal magnetic field in a conducting medium …
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7 października 2021 12:30
Grzegorz Łukaszewicz (MIM UW)
Equations and Turbulence
This will be a non-technical talk about the turbulence phenomenon, a reflection on the difficulty of the subject, and the role of equations of hydrodynamics in its understanding.
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10 czerwca 2021 12:30
Jacopo Schino (doktorant IMPAN)
Ground state, bound state, and normalized solutions to semilinear Maxwell and Schroedinger equations
Streszczenie w załączniku. ------------------------------------------------------------------------ Join Zoom Meeting https://us02web.zoom.us/j/81583752461?pwd=c2xXN0hoQVBVc2JLNmNYRHkxTzV4UT09 Meeting ID: 815 8375 2461 Passcode: 495149
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27 maja 2021 12:30
Prof. Andrew Gilbert (College of Engineering, Mathematics and Physical Sciences, University of Exeter, UK)
Geometric fluid mechanics and generalised Lagrangian mean (GLM) theor)
In this talk I will outline the geometric view of ideal fluid mechanics, as set out by V.I. Arnold in seminal papers in the 1960s. We will then look at applications to Lagrangian averaging in …
