Organizers

prof. dr hab. Grzegorz Łukaszewicz

Information

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

Research fields

Mathematical Physics and Applied Analysis

List of talks

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 (Geometric fluid mechanics and generalised Lagrangian mean)
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 …
May 13, 2021, 12:30 p.m.
Szymon Charzyński (FUW)
Trapping and guiding bodies by gravitational waves endowed with angular momentum
It has been established theoretically and experimentally confirmed that electromagnetic waves endowed with angular momentum (for example, Bessel beams) can trap charged particles in the vicinity of the beam center. It can be shown that …
April 29, 2021, 12:30 p.m.
Jakub Skrzeczkowski (SDNŚiP)
Fast reaction limit with nonmonotone reaction function
W załączniku. ------------------------------------------- Join Zoom Meeting https://us02web.zoom.us/j/81583752461?pwd=c2xXN0hoQVBVc2JLNmNYRHkxTzV4UT09 Meeting ID: 815 8375 2461 Passcode: 495149
- file
April 15, 2021, 12:30 p.m.
Bohdan Petraszczuk (doktorant SDNŚiP)
Regularity of n-harmonic maps
I will discuss regularity of maps from W^{n/2,2}(B^{n}(0,1), R^{n+1}) where B^{n} denotes the n-dimensional unit ball and n > 0 is even, which is a solution of H-system for a Lipschitz and bounded function H. …
April 8, 2021, 4 p.m.
Professor Martin Ostoja-Starzewski (Department of Mechanical Science & Engineering, University of Illinois at Urbana-Champaign, US)
Spontaneous Violations of the Clausius-Duhem Inequality
Zoom link: https://us02web.zoom.us/j/81583752461?pwd=c2xXN0hoQVBVc2JLNmNYRHkxTzV4UT09 Meeting ID: 815 8375 2461 Passcode: 495149
March 25, 2021, 12:30 p.m.
Grzegorz Łukaszewicz (MIM UW)
Vertical heat transport at infinite Prandtl number for micropolar fluid.
Collaborators: M. Caggio (Univ. of L'Aquila), P. Kalita (UJ), K. Mizerski (IGF PAN) We investigate the upper bound on the vertical heat transport in the fully 3D Rayleigh-Benard convection problem at infinite Prandtl number for …
March 18, 2021, 12:30 p.m.
prof. Christopher Jones (Department of Applied Mathematics, University of Leeds, UK)
Giant planet interiors in the light of the Juno and Cassini missions
The Juno mission to the planet Jupiter has revealed significant new information about the processes going on inside the planet. Similar data for Saturn was obtained from the Cassini grand finale. Accurate measurements of Jupiter’s …
March 11, 2021, 12:30 p.m.
Piotr Skrzypacz (Nazarbayev University, Kazachstan)
O zaawansowanych metodach elementów skończonych dla zastosowań w inżynierii reaktorów chemicznych
Join Zoom Meeting https://us02web.zoom.us/j/81583752461?pwd=c2xXN0hoQVBVc2JLNmNYRHkxTzV4UT09 Meeting ID: 815 8375 2461 Passcode: 495149
March 4, 2021, 12:30 p.m.
Lucjan Sapa (AGH w Krakowie, WMS)
Parabolic-elliptic and parabolic systems in diffusion models
The presentation deals with nonlinear parabolic--elliptic and parabolic systems with initial-boundary conditions modeling biological ion channels and interdiffusion in solids. I will formulate theorems on local and global existence, uniqueness and properties of weak solutions, …