Variational methods and PDEs

lecture room 408, 12:15 - 14:00

dr hab. Jarosław Mederski, prof. IM PAN
 

  • January 21, 2019 
    (TBA)

     
  • January 14, 2019
    Jarosław Mederski (IM PAN):
    General class of optimal Sobolev inequalities and nonlinear scalar field equations
    Abstract: We find a class of optimal Sobolev inequalities with a general nonlinearity, and in particular we provide a new proof of the logarithmic Sobolev inequality. The optimizers of the inequalities satisfy nonlinear scalar field equations.
     
  • November 5, 2018
    Panayotis Smyrnelis (IM PAN): 
    Existence and properties of vortices in the Ginzburg-Landau model of liquid crystals
    Abstract: In the theory of light-matter interaction in nematic liquid crystals, the vector field of the molecules is described by a singular problem involving a Ginzburg-Landau type system of PDE. I will establish the existence of vortices and discuss some of their properties.

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