Cotygodniowe seminarium badawcze
2018-10-11, godz. 12:30, 5070
Iwona Chlebicka (Uniwersytet Warszawski (MIM))
Na podstawie [0] opowiem o zjawisku Ławrentiewa w przestrzeniach Musielaka-Orlicza oraz o pewnych konsekwencjach, jakie ono niesie w teorii istnienia dla równań eliptycznych i parabolicznych bez typowych (dla przestrzeni Orlicza) warunków wzrostu na wiodącą część operatora (cf. ...
2018-10-04, godz. 12:30, 5070
Anna Zatorska-Goldstein (Uniwersytet Warszawski (MIM))
Stacjonarne zagadnienie przepływu ciepła na niżej wymiarowych zbiorach prostowalnych w $R^N$
I will discuss an elementary linear elliptic equation on a lower dimensional rectifiable structure in $R^N$ with Neumann boundary data. The set may be described by means of a finite Borel measure µ supported on it. This allows us to reformulate the equation and the boundary condition and to es...
2018-06-07, godz. 12:30, 5070
(Uniwersytet Warszawski (MIM))
Variational Problems in Optical Engineering and Free Material Design
Uczestników seminarium serdecznie zapraszamy na wykłady w IM PAN, Śniadeckich 8, Warszawa, w ramach konferencji "Variational Problems in Optical Engineering and Free Material Design" (org. P.Rybka, A.Sabra). https://www.impan.pl/en/activities/banach-cent...
2018-05-24, godz. 12:30, 5070
Emil Wiedemann (University of Hannover)
Regularity and Conserved Quantities: Some Recent Developments
Evolution equations with a physical background always come with one or several conserved quantities, like the energy. However, when the solution and/or the coefficients are sufficiently irregular, the conservation law may break down, and the question arises precisely what regularity is needed to gua...
2018-05-17, godz. 12:30, 5070
Piotr Rybka (Uniwersytet Warszawski (MIM))
Zagadnienie najmniejszego gradientu w płaskcih obszarach wypukłych
Przedstawimy zagadnienie najmniejszego gradientu (ZNG) i motywacje do badania go w obszarach płaskuich. Przedstawimy serię twierdzeń o istnieniu rozwiązań, gdy dane brzegowe typu Dirichleta są ciągłe albo mają wahanie ograniczone. Zasadniczy wynik dotyczy obszarów wypukłych, kt&oacu...
2018-05-10, godz. 12:30, 5070
Monika Muszkieta (Politechnika Wrocławska)
In the talk, we consider a gradient flow of the total variation in the negative Sobolev space $H^{-s}$, $s\in[0,1]$, under the periodic boundary condition. We explain how to construct a minimizing sequence based on a dual formulation and discuss issues concerning its convergence. We also show and co...
2018-04-26, godz. 12:30, 5070
Krzysztof Bartosz (Uniwersytet Jagielloński)
I am going to present the results of my researches concerning evolutionary Clarke's inclusions. They arise as an abstract formulation of dynamic and quasistatic problems of contact mechanics, in which the contact law has a form of nonmonotone relation between a stress and a displacement. My goal...
2018-04-19, godz. 12:30, 5070
Kamila Łyczek (Uniwersytet Warszawski (MIM))
MEASURE SOLUTIONS TO PERTURBED TRANSPORT EQUATION
We consider a linear perturbation into velocity field of transport equation. We investigate solutions in the space of bounded Radon measures and show that they are differentiable with respect to parameter in a proper space, which is predual to (C^{1+\alpha})^* . The result on differentiability is ne...
2018-04-12, godz. 12:30, 5070
Marek Jerzy Grądzki (Instytut Geofizyki PAN)
Magnetic buoyancy instability (MBI) is believed to plays an important role in the evolution of magnetic fields in astrophysical objects, especially stars. Probably it is also present in the Earth's core. In the case of the Sun observations indicate that the strong toroidal magnetic field em...
2018-04-05, godz. 12:30, 5070
Marcin Napiórkowski (Uniwersytet Warszawski (FUW))
On the Bogoliubov free energy functional/O funcjonale Bogoliubowa energii swobodnej
The Bogoliubov free energy functional defines a model that aims at describing a system of interacting bosons at positive temperatures. After a short introduction in which I will briefly describe the origins of the model, I will discuss both the mathematical (e.g. existence of minimizers) and physica...