Organizers

prof. dr hab. Grzegorz Łukaszewicz

Information

Thursdays, 12:30 p.m. , room: 5070

Research fields

Mathematical Physics and Applied Analysis

List of talks

Jan. 27, 2022, 12:30 p.m.
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 …
Jan. 20, 2022, 12:30 p.m.
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 …
Jan. 16, 2022, 12:30 p.m.
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 …
Dec. 9, 2021, 12:30 p.m.
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 …
Dec. 2, 2021, 12:30 p.m.
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 …
Nov. 25, 2021, 12:30 p.m.
Tomasz Dłotko (Uniwersytet Śląski w Katowicach)
Równanie Naviera-Stokesa jako krytyczne równanie paraboliczne
Nov. 18, 2021, 12:30 p.m.
Karol Bołbotowski (Politechnika Warszawska)
On topics in optimal design of elastic structures and links to the Monge-Kantorovich problem
Nov. 4, 2021, 12:30 p.m.
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
Oct. 28, 2021, 12:30 p.m.
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 …
Oct. 21, 2021, 12:30 p.m.
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 …
Oct. 14, 2021, 12:30 p.m.
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 …
Oct. 7, 2021, 12:30 p.m.
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.
June 10, 2021, 12:30 p.m.
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
- Streszczenie
May 27, 2021, 12:30 p.m.
Prof. Andrew Gilbert (College of Engineering, Mathematics and Physical Sciences, University of Exeter, UK)
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 …
May 20, 2021, 12:30 p.m.
Sadokat Malikova (doktorantka SDNŚiP)
Approximation of the shape of rigid obstacle in a viscous fluid
We analyze a model based on the classical Navier-Stokes system describing a flow through an obstacle.The goal is to approximate the obstacle by an area with high viscosity. In such situation we obtain an elliptic problem with …