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. 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 …
Jan. 11, 2024, 12:30 p.m.
Antoine Detaille (Université Claude-Bernard-Lyon-I)
Strong density in Sobolev spaces to manifolds
In striking contrast with what happens to classical Sobolev spaces, the space of smooth maps with values into a compact manifold $N$ does not need to be dense in the space of $N$-valued $W^{s,p}$ maps. …
Nov. 30, 2023, 12:30 p.m.
Michał Fabisiak (doktorant SDNŚiS)
Cucker-Smale model in bounded domains
Cucker-Smale model describes the behaviour of agents aligning their velocities according to nonlocal protocol. We consider the model posed in domains with a boundary and try to justify the mean-field limit between particle and kinetic …
Nov. 23, 2023, 12:30 p.m.
Mateusz Dembny (doktorant SDNŚiS)
On differential Harnack bounds for a fractional heat equation
Consider the linear heat equation. The celebrated Li-Yau inequality states that for positive solutions we have $\bigtriangleup \log u \geq - \frac{n}{2t}$. By integrating this inequality along a straight space-time interval between two points, we …
Nov. 9, 2023, 12:30 p.m.
Łukasz Chomienia (SDNŚiP)
PDEs on low-dimensional structures: regularity and parabolic issues
By the low-dimensional structure we understand a closed subset of Euclidean space possessing some geometrical nature. The class includes, for instance, CW-complexes, families of manifolds, stratified manifolds etc. We very briefly recall the current state …
Oct. 26, 2023, 12:30 p.m.
Jarosław Duda (Institute of Computer Science and Computer Mathematics, Jagiellonian University)
Electromagnetism with built-in electric charge quantization as topological
I will discuss topological solitons starting with 1+1 dimensional sine-Gordon model. Then I will consider higher dimensional model, like topological defects with long-range e.g. Coulomb-like interactions observed in liquid crystals. To recreate electromagnetism for them …
Oct. 19, 2023, 12:30 p.m.
Benoît Van Vaerenbergh (UCLouvain)
The p-harmonic relaxation versus the Ginzburg-Landau functional
We will describe the manifold-valued harmonic extension problem of a boundary data defined on the boundary of a domain and taking values into the manifold. This extension has engineering applications, which we will present. Unfortunately, …