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Seminarium Zakładu Równań Fizyki Matematycznej

Cotygodniowe seminarium badawcze



czwartki, 12:30 , sala: 5070

Dziedziny badań

Lista referatów

  • 13 czerwca 2024 12:30
    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 …

  • 6 czerwca 2024 12:30
    Krzysztof Myśliwy (FUW)
    Effective nonlinear models in many body problems.
    We shall discuss how nonlinear models arise as effective theories in many body physics, with main focus on nonlinear Schrödinger-type equations. In particular, we will cover new applications in the theory of ions immersed in …

  • 16 maja 2024 12:30
    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 …

  • 18 kwietnia 2024 12:30
    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 …

  • 21 marca 2024 12:30
    Armin Schikorra (University of Pittsburgh)
    A nonlocal Willmore Energy

  • 29 lutego 2024 12:30
    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) …

  • 25 stycznia 2024 12:30
    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 …

  • 18 stycznia 2024 12:30
    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 …

  • 11 stycznia 2024 12:30
    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. …

  • 30 listopada 2023 12:30
    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 …

  • 23 listopada 2023 12:30
    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 …

  • 9 listopada 2023 12:30
    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 …

  • 26 października 2023 12:30
    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 …

  • 19 października 2023 12:30
    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, …

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