Organizers

prof. dr hab. Grzegorz Łukaszewicz

Information

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

Research fields

Mathematical Physics and Applied Analysis

List of talks

Dec. 4, 2025, 12:30 p.m.
Nilasis Chaudhuri (MIM UW)
Compactness in compressible Navier-Stokes system revisited
In this talk, we revisit the existence theory of weak solutions for the compressible Navier--Stokes system. We propose an approximation scheme that, instead of the classical regularization of the continuity equation (based on the viscosity …
Nov. 27, 2025, 12:30 p.m.
Xiao Zhong (School of Mathematics, Sun Yat-sen University)
Dimer models and Beltrami equation
We study the variational problem associated with dimer models, a class of models from integrable probability and statistical mechanics in dimension two, which have been the focus of intense research efforts over the last decades. …
Nov. 6, 2025, 12:30 p.m.
Wojciech Górny
Variable-growth total variation denoising
Even though more than 30 years have passed since the seminal Rudin--Osher--Fatemi (ROF) paper on total variation denoising, it still remains relevant; however, it is known to suffer from artifacts such as the staircasing effect. …
June 5, 2025, 12:30 p.m.
Eduard Feireisl (Czech Academy of Sciences, Prague)
Oscillatory approximations and maximum entropy principle for the Euler system of gas dynamics
We show that the measure--valued solutions of the Euler system of gas dynamics generated by oscillatory sequences of consistent approximations violate the principle of maximal entropy production formulated by Dafermos. There are numerical results illustrating …
May 15, 2025, 12:30 p.m.
Bartosz Bieganowski (MIM)
Normalized solutions to elliptic problems - new minimization technique. Part II.
We propose a simple minimization technique to demonstrate the existence of least-energy solutions for certain nonlinear elliptic equations with a prescribed L2-norm. Our approach relies on the direct minimization of a variational functional, restricted to …
April 10, 2025, 12:30 p.m.
Barbara Łupińska (Wydz. Matematyki, Uniwersytet w Białymstoku)
Analiza wybranych równań różniczkowych z pochodną ułamkową Katugampola.
Podczas wystąpienia zostaną zaprezentowane wyniki badań związanych z analizą istnienia i jednoznaczności rozwiązań równań różniczkowych ułamkowego rzędu zawierających pochodną Katugampola. Na początku zostaną przedstawione własności operatorów różniczkowych i całkowych Katugampola ułamkowego rzędu w przestrzeni funkcji …
April 3, 2025, 12:30 p.m.
Bartosz Bieganowski (MIM UW)
Normalized solutions to elliptic problems - new minimization technique
We propose a simple minimization technique to demonstrate the existence of least-energy solutions for certain nonlinear elliptic equations with a prescribed L2-norm. Our approach relies on the direct minimization of a variational functional, restricted to …
March 27, 2025, 12:30 p.m.
Dariusz Wrzosek (MIM UW)
From indirect to direct taxis by fast reaction limit.
Many ecological population models consider taxis as the directed movement of animals in reaction to a stimulus which we name as direct (if it is guided by the density gradient of some other population), or …
March 20, 2025, 12:30 p.m.
Tomasz Piasecki (MIM UW)
Stability of the density patches problem with vacuum for incompressible inhomogeneous viscous flows
The talk is based on a joint work with Piotr B. Mucha and Raphael Danchin. We consider the inhomogeneous incompressible Navier-Stokes system in a smooth two or three-dimensional bounded domain, in the case where the …
March 6, 2025, 12:30 p.m.
Daniel Strzelecki (MIM UW)
Can a geostationary satellite oscillate? On some existence theorem for equations with S^1-symmetries.
During the talk I am going to show how one can deal with continuous symmetries in the differential equation. More precisely, how to utilize the symmetries to generalize Lyapunov center theorem. One of the applications …
Jan. 16, 2025, 12:30 p.m.
Piotr Błądek (Centrum Badań Kosmicznych PAN)
Solving Vlasov Kinetic Equations Describing the Shape of the Heliosphere Using Data-Driven Physics-Informed Neural Networks
The heliosphere, a vast region surrounding the Sun, is shaped by the dynamic interaction between the solar wind and the interstellar medium. Solving the Vlasov kinetic equations might help to understand its complex structure. Vlasov …
Dec. 19, 2024, 12:30 p.m.
Piotr B. Mucha (University of Warsaw)
An Approach to Incompressible Models: Exploring the Case of Regular Solutions
This talk presents two distinct approaches to the approximation of incompressible flow models. Both strategies employ a penalization technique on $ν div u$ by allowing the viscous (bulk) viscosity coefficient to approach infinity, thereby facilitating …
Dec. 12, 2024, 12:30 p.m.
Marco Squassina (Università Cattolica del Sacro Cuore (Milano))
Nonsmooth critical point theory and application to a class of elliptic problems
We present a class of quasilinear elliptic PDEs whose associated functional is continuous but not even locally Lipschitz and we apply nonsmooth critical point theory to find a distributional solution.
Nov. 28, 2024, 12:30 p.m.
Aneta Wróblewska-Kamińska (IMPAN)
From compressible to incompressible, MHD with non-conservative boundary condition
We consider a general compressible viscous, heat and magnetic conducting fluid described by a compressible Navier–Stokes–Fourier system coupled with induction equation. In particular, we do not assume conservative boundary conditions for temperature and allow heating …
Nov. 21, 2024, 12:30 p.m.
Bartosz Bieganowski
Normalized solutions to elliptic problems - new minimization technique.
We propose a simple minimization technique to demonstrate the existence of least-energy solutions for certain nonlinear elliptic equations with a prescribed L2-norm. Our approach relies on the direct minimization of a variational functional, restricted to …