Organizers

prof. dr hab. Grzegorz Łukaszewicz

Information

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

Research fields

Mathematical Physics and Applied Analysis

List of talks

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 …
June 13, 2024, 12:30 p.m.
Michał Borowski (SDNŚiS)
Double phase functionals and approximation
The talk shall introduce double-phase functionals and spaces, and discuss their approximation properties. The spaces of our interest are inhomogeneous Sobolev-type spaces, which lie between classical Sobolev spaces. We shall see that regular functions are …
June 6, 2024, 12:30 p.m.
Krzysztof Myśliwy (FUW)
Effective nonlinear models in many body problems.
May 16, 2024, 12:30 p.m.
Jacopo Schino (MIM UW)
A mixed-dispersion equation in dimension 4: results and open problems
I will present results concerning the existence of unbounded sequences of solutions, obtained via variational methods, to an elliptic mixed-dispersion equation in dimension 4, in the so-called positive-mass and zero-mass cases. Specific symmetries are used …
April 18, 2024, 12:30 p.m.
Roman Korsak (SDNŚiS)
A fluid-particle interaction model
In 2011 three authors J.A. Carrillo, T. Karper and K. Travisa published the paper "On the dynamics of a fluid-particle interaction model: The bubbling regime". They discussed a model, where particles of one fluid are …
March 21, 2024, 12:30 p.m.
Armin Schikorra (University of Pittsburgh)
A nonlocal Willmore Energy
I will discuss a natural definition of a nonlocal version of the Willmore energy -- based on Caffarelli-Roquejoffre-Savin's mean curvature notion -- and their relation to the so-called tangent-point energies, with consequences for existence of …
Feb. 29, 2024, 12:30 p.m.
Paweł Jujeczko
Filamentary structure of streamers in Transient Luminous Events
The subject of the seminar will be a numerical modelling of instabilities in a weakly-ionized plasma with a use of kinetic theory plasma models. The natural phenomenon being treated is the process of branching (filamentation) …
- Filamentary structure of streamers in Transient Luminous Events - prezentation
Jan. 25, 2024, 12:30 p.m.
Matej Benko (Brno University of Technology)
Discretization of Wasserstein Gradient Flow
We consider the local model and the model with non-local interactions with linear diffusion as equivalent problems to the gradient flow along a convex functional. In the first part, the local model is considered. We …
Jan. 18, 2024, 12:30 p.m.
Dorian Martino (Université Paris Cité)
Energy quantization of Willmore surfaces with bounded index
Quantization phenomena, pioneered by Sacks-Uhlenbeck in 1981, arise in the study of compactness questions of every conformally invariant functional and requires a subtle analysis. In the context of Willmore surfaces, the first study of such …