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. 28, 2021, 12:30 p.m.
Maja Szlenk (doktorantka SDNŚiP)
Existence of weak solutions to compressible Stokes system with general pressure
In the presentation I will talk about the existence and uniqueness of weak solutions to the compressible Stokes system. Using the Lagrangian formulation, we are able to prove that the solution is globally bounded, provided …
Jan. 21, 2021, 12:30 p.m.
Tomasz Lewiński (Politechnika Warszawska, WIL)
projektowanie materiałów z wolnego wyboru (Metoda FMD)
The presentation deals with minimization of the weighted average of compliances of structures, made of an elastic material of spatially varying elasticity moduli, subjected to n load variants acting non-simultaneously. The trace of the Hooke …
Jan. 14, 2021, 12:30 p.m.
Wojciech Dębski (IGF PAN)
Time Reversal - an efficient way of data analysis
Building knowledge on surrounding world requires information about it. This almost trivial statement gains a much deeper sense in cases when we cannot infer thought information by direct measurements. It happens quite often, actually too …
Jan. 7, 2021, 12:30 p.m.
Łukasz Chomienia (doktorant SDNŚiP)
Applications of PDEs in functional spaces with a measure or a weight
In my presentation I want to discuss two problems to which applying methods of PDEs in functional spaces that depend on a certain kind of measure seems to be fruitful. Describing a process of transfer …
Dec. 17, 2020, 12:30 p.m.
Krzysztof Mizerski (Instytut Geofizyki PAN)
Applications of mathematics in astrophysical hydrodynamics
The aim of the seminar is to present approaches and problems that arise in the analysis of dynamics of planetary and stellar fluid interiors. This involves the convective heat transfer in the presence of density …
Dec. 3, 2020, 12:30 p.m.
Piotr B. Mucha (MIM UW)
Pandemia COVID19 oczyma ignoranta
Chciałbym zrobić heurystyczne wprowadzenie do modelowania pandemii COVID19, która nas dotknęła w tym roku. Głównym elementem będą modele typu SEIR, opisujące uśrednioną populację. Wydawałoby się, że predykcje dynamiki takiej pandemii są bardzo ważne, ale ... …
Nov. 19, 2020, 12:30 p.m.
Piotr Kalita (UJ)
Układy dynamiczne jako narzędzie do modelowania procesów związanych ze świadomością
Teoria Zintegrowanej Informacji to zaproponowany przez Giulio Tononiego formalizm stosowany do opisu zjawisk związanych ze świadomością. Przedstawię założenia tej teorii oraz omówię oparte o nią modele wykorzystujące układy dynamiczne i ich atraktory. ------------------------------------------------------------------------------ Join …
Oct. 29, 2020, 12:30 p.m.
Tomasz Piasecki (IMSiM)
A maximal regularity approach to compressible mixtures"
Join Zoom Meeting https://us02web.zoom.us/j/81583752461?pwd=c2xXN0hoQVBVc2JLNmNYRHkxTzV4UT09 Meeting ID: 815 8375 2461 Passcode: 495149 -------------------------------------------------------------------------------------------------------------- I will present recent results obtained in collaboration with Yoshihiro Shibata and Ewelina Zatorska. We investigate the well posedness of …
Oct. 15, 2020, 12:30 p.m.
Gustavo Abade (Instytut Geofizyki FUW UW)
Turbulent clustering of low-inertia droplets
Several effects of turbulence may reduce the time for rain initiation in warm (ice-free) atmospheric clouds. This talk overviews the effect of turbulent clustering of inertial droplets that interact hydrodynamically. Using the so-called drift-diffusion model (based on the Master …
March 12, 2020, 12:30 p.m.
Jakub Gałecki (Politechnika Warszawska)
Adjoint-Based Optimal Control of Incompressible Flows with Energy-Stable Boundary Conditions
Problems arising in computational fluid dynamics often require artificially truncating the domain and posing appropriate open boundary conditions. However, these are known to suffer from backflow instability – when the flow at the boundary reverses, …
March 5, 2020, 12:30 p.m.
prof. Wojciech Zajączkowski (IMPAN)
The Ladyzhenskaya-Serrin condition for regular solutions of the Navier-Stokes eguations
Jan. 23, 2020, 12:30 p.m.
Wojciech Górny (doktorant MIM)
Structure of solutions to the least gradient problem
In the least gradient problem with discontinuous boundary data, the solutions may fail to be unique. However, they often share a similar structure. In this talk, I will discuss the geometrical reasons for this phenomenon, …
Jan. 16, 2020, 12:30 p.m.
Piotr Kokocki (UMK Toruń)
Total integrals of solutions for inhomogeneous Painlevé II equation
We establish a formula determining the value of the Cauchy integrals for the real and purely imaginary Ablowitz-Segur solutions for the inhomogeneous second Painlevé equation. Our approach relies on the Deift-Zhou steepest descent analysis of the corresponding …
Dec. 19, 2019, 12:30 p.m.
dr Maciej Lisicki (Wydzial Fizyki UW)
Pumping and swimming: two faces of phoretic flows
Janus particles with the ability to move phoretically in self-generated chemical concentration gradients are model systems for active matter. On the other hand, chemically active surfaces can lead to microscale flow generation, bacoming an effective …
Dec. 5, 2019, 12:30 p.m.
Łukasz Chomienia (doktorant MIM)
Energy conservation for the compressible Euler system
We prove the local energy equality for the isentropic compressible Euler equations under the assumption of the Besov regularity in space and the Bochner integrability in time. We show that this result can be established …