You are not logged in | Log in
Return to the list of seminars

Seminar of Mathematical Physics Equations Group

Weekly research seminar



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

Research fields

List of talks

  • 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) …

  • 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, …

  • June 1, 2023, 12:30 p.m.
    Martin Ostoja-Starzewski (University of Illinois at Urbana-Champaign, USA)
    Tensor Random Fields
    See attached file

  • May 25, 2023, 12:30 p.m.
    Benjamin Lledos (Université Paul Sabatier, Institut de Mathématiques de Toulouse)
    Some results about the uniqueness of the solutions in the calculus of variations
    We want to find a framework in which we can establish the uniqueness of solutions for non-strictly convex problems in the calculus of variations. The main idea is to extend a method devised by Marcellini …

  • May 18, 2023, 12:30 p.m.
    Mateusz Dembny (SDNŚiS)
    Spiral vortex sheets and 2d Euler equation
    In my talk, I will introduce Prandtl's and Kaden's spirals. Prandtl's spirals are weak solutions to the 2d Euler equation and this is a result by T. Cieslak, P. Kokocki and W.S. Ozanski. We will check whether Kaden's …

  • May 4, 2023, 12:30 p.m.
    Michał Borowski (MIMUW)
    Absence of Lavrentiev’s phenomenon and Musielak-Orlicz-Sobolev spaces
    We want to study Lavrentiev’s phenomenon for a broad class of variational functionals, covering anisotropic functionals of non-standard growth. To this purpose, we consider Musielak–Orlicz–Sobolev spaces and describe how the density of regular functions guarantees …