Nie jesteś zalogowany | zaloguj się

Wydział Matematyki, Informatyki i Mechaniki Uniwersytetu Warszawskiego

  • Skala szarości
  • Wysoki kontrast
  • Negatyw
  • Podkreślenie linków
  • Reset

Seminarium Zakładu Równań Fizyki Matematycznej

Cotygodniowe seminarium badawcze


Prowadzący

Sala

5070

Lista referatów

  • 2019-10-10, godz. 12:30, 5070

    Kamila Łyczek (doktorantka MIM)

    On differentiability of solutions to the nonlinear transport equation in bounded Radon measures

    We consider the nonlinear transport equation in the space of bounded Radon measures. Amongst its applications are structure population model or crowd dynamics. Previous results concerning this type of equations do not allow us to get the differentiability of solutions with respect to a perturbation ...

  • 2019-10-03, godz. 12:30, 5070

    Arttu Karppinen (University of Turku, Finlandia)

    Regularity of minimizers with generalized Orlicz growth

    We will discuss the motivation of studying minimizers of   variational integrals or solutions to partial differential equations   with generalized Orlicz (also known as Musielak-Orlicz) growth   conditions. After introducing the context, a global higher  ...

  • 2019-06-13, godz. 12:30, 5070

    Tomasz Dębiec (doktorant MIM)

    On energy conservation in fluid dynamics

    Conserved quantities, like the energy, are at the heart   of the study of many evolutionary PDEs. We will discuss the problem of   energy conservation for some equations of fluid mechanics - starting   with the celebrated Onsager's conjecture in the realm of i...

  • 2019-06-06, godz. 12:30, 5070

    Giuseppe Di Fazio (Università degli Studi di Catania)

    Regularity for elliptic equations under minimal assumptions

    Elliptic PDEs are ubiquitous in Mathematics and Sciences. A very important  topic concerning Elliptic PDEs is the regularity of solutions. We will review some regularity results for linear and quasilinear uniformly  elliptic equations. The main focus will be on the ...

  • 2019-05-30, godz. 12:30, 5070

    Kamila Łyczek (doktorantka MIM)

    Differentiability of measure solutions to the nonlinear transport equation

    We consider the nonlinear transport equation in the space of bounded Radon measures. Previous results concerning this type of equation include well-posedness and Lipschitz dependence of the solution (on the initial condition and model ingredients). However, these results do not allow to analyze the ...

  • 2019-05-23, godz. 12:30, 5070

    prof. Jacek Szumbarski ( Wydział Mechanicznego Energetyki i Lotnictwa Politechniki Warszawskiej)

    Problem warunków brzegowych w modelowaniu przepływów wewnętrznych cieczy newtonowskiej

    Tematem referatu jest modelowanie matematyczne i komputerowe niestacjonarnych przepływów cieczy newtonowskiej w układach rozgałęzionych przewodów. Zagadnienia tego typu pojawiają się m.in. w kontekście modelowania układów krwionośnego i oddechowego. Istotnym pro...

  • 2019-05-09, godz. 12:30, 5070

    Panayotis Smyrnelis (IMPAN)

    Phase transition and Ginzburg-Landau models occurring in the Physics of liquid crystals.

    We study global minimizers of an energy functional arising as a thin sample limit in the theory of light-matter interaction in nematic liquid crystals. We show that depending on the parameters various defects are predicted by the model. In particular we show existence of a new type of topological...

  • 2019-04-25, godz. 12:30, 5070

    José Carlos Bellido Guerrero (Universidad de Castilla - La Mancha)

    A fractional model of hyperelasticity.

    Elastic materials are those that deform under the action of an applied force and recover their original configuration when the load stops acting. When the elastic potential energy can be modeled as a variational principle we call then hyperplastic materials, and it is the nat...

  • 2019-04-24, godz. 14:15, 4050

    Adam Prosiński (Oxford University)

    Calculus of variations in the anisotropic setting.

    In this talk, we will review some recent results concerning existence and regularity of minimizers of anisotropic variational problems. The anisotropy that we have in mind concerns different orders of derivation in different directions, thus we work with differential operators that need not be ho...

  • 2019-04-11, godz. 12:30, 5070

    Michał Łasica (MIM)

    Total variation flow of curves in Riemannian manifolds

    Let N be a complete Riemannian manifold. We consider the functional of total variation defined on maps from an interval I into N. This is a relaxation with respect to L2 topology on I of the length functional defined on parametrized curves. We investigate well-posedness of the steepest descent fl...

Strony