Organizers

prof. dr hab. Grzegorz Łukaszewicz

Information

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

Research fields

Mathematical Physics and Applied Analysis

List of talks

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 …
Nov. 7, 2024, 12:30 p.m.
Marco Gallo (Catholic University, Brescia)
One logarithm to separate them all: concavity properties for not-positive nonlinearities
In this talk, we will be interested in some concavity properties of solutions of the equation - \Delta u = f(u). Differently from the standard literature, the fact that f(t) < 0 for t ≈ …
Oct. 31, 2024, 12:30 p.m.
Artur Sowa (Department of Mathematics and Statistics, University of Saskatchewan Saskatoon, Canada)
E'tudes on Infinite Tensor Products in Quantum Contexts
In this talk, I will present original mathematical constructions designed to describe two fundamental types of quantum systems: (1) an infinite array of qubits, exemplified by a quantum computer with an infinite register, and (2) …
Oct. 24, 2024, 12:30 p.m.
Krzysztof Mizerski (IGF PAN)
Niestacjonarna turbulencja magnetohydrodynamiczna
Oct. 17, 2024, 12:30 p.m.
Piotr Rybka (MIM UW)
The Dirichlet problem for the one-dimensional Rudin-Osher-Fatemi functional
Oct. 10, 2024, 12:30 p.m.
Giannis Polychrou (Aristotle University of Thessaloniki)
Sinh-Gordon type equations and harmonic maps
We study harmonic maps from a subset of the complex plane to a subset of the hyperbolic plane. Harmonic maps are related to the elliptic sinh-Gordon equation and a Bäcklund transformation is introduced, which connects …
Oct. 3, 2024, 12:30 p.m.
Grzegorz Łukaszewicz (MIM UW)
Kepler's third law and dimensional analysis
In the first part of the talk, we will present Kepler's third law in the formulation from Harmonices Mundi (1619). The second, main part of this talk is devoted to dimensional analysis. We will show …