Organizers

prof. dr hab. Grzegorz Łukaszewicz

Information

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

Research fields

Mathematical Physics and Applied Analysis

List of talks

April 11, 2019, 12:30 p.m.
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 …
March 28, 2019, 12:30 p.m.
Hiroshi Wakui (Tohoku University/ Uniwersytet Wrocławski)
Unboundedness for solutions to a degenerate drift-diffusion equation under non-weight condition
In this talk, we consider unboundedness and concentration phenomenon of solutions to a degenerate drift-diffusion equation. We proved that solutions do not remain bounded in time when the initial data has negative free energy under …
March 21, 2019, 12:30 p.m.
Wojciech Górny (doktorant MIM)
Least gradient problem on unbounded domains
We discuss the least gradient problem, which in dimension two is linked to the optimal transport problem, in two settings. The first one concerns the existence of minimisers for discontinuous boundary data, while the second …
March 7, 2019, 12:30 p.m.
Michał Miśkiewicz (doktorant MIM)
Stability of singularities of minimizing harmonic maps
Minimizing harmonic maps - i.e., maps into a fixed manifold that minimize the Dirichlet energy - are known to be smooth outside a singular set of codimension 3. Here, we consider maps into the standard …
Feb. 28, 2019, 2:15 p.m.
Piotr Szymczak ( IFT UW)
Evolving shapes of dissolving objects in potential flow
If we put a dissolving object in a flow, its shape will continuously change. Tracking of the evolving shape requires the solution of coupled flow and transport equation, in an evolving geometry around the shrinking …
Dec. 20, 2018, 12:30 p.m.
Katarzyna Ryszewska (Politechnika Warszawska)
Fractional Calculus
In the talk I will recall definitions of fractional operators and present some of their properties. We will look at the fractional operators in the context of semigroup theory. We will begin with characterization of …
Dec. 13, 2018, 2:30 p.m.
prof. Vaughan R. Voller (University of Minnesota)
Anomalous diffusion: Direct simulations and fractional calculus models
The classic hall-mark of a diffusion transport process is that the length-scale of the spreading of a conserved quantity (heat, solute, etc) changes with the square root of time. This phenomena is readily observed in …
Nov. 29, 2018, 12:30 p.m.
Marcin Małogrosz (Politechnika Warszawska)
On the regularity of the principal eigenvalue of the Schrödinger operator on bounded domains
I will present my recent result concerning Lipschitz continuity of the principal eigenvalue of the Schrödinger operator H = - Δ + V on a bounded domain with respect to perturbations of the potential V in Lebesgue …
Nov. 22, 2018, 12:30 p.m.
Diana Barseghyan (Uniwersytet w Ostrawie)
"Eigenvalue bounds for the magnetic Laplacians and Schroedinger operators"
We are going to derive spectral estimates for several classes of magnetic Lapla-cians. They include the magnetic Laplacian on three-dimensional regions with Dirichlet boundary conditions as well as the magnetic Laplacian de ned in R3 …
Nov. 8, 2018, 12:30 p.m.
Kentarou Fujie (Tokyo University of Science)
No critical nonlinear diffusion in 1D quasilinear fully parabolic chemotaxis system
We deal with the fully parabolic 1d chemotaxis system with diffusion $1/(1+u)$. We prove that the above mentioned nonlinearity, despite being a natural candidate, is not critical. It means that for such a diffusion any …
Oct. 25, 2018, 12:30 p.m.
Jacek Polewczak (California State University)
Some mathematical and physical problems in the kinetic theories of dense fluids
I consider various kinetic models of inert/reacting rare/dense mixtures. In contrast to the previously considered reacting models, the microscopic reversibility (detailed balance) is built-in in the models and thus all mathematical aspects of the models …
Oct. 11, 2018, 12:30 p.m.
Iwona Chlebicka (Uniwersytet Warszawski (MIM))
Zagadnienie gęstość funkcji gładkich w przestrzeniach Musielaka-Orlicza i jego konsekwencje w równaniach różniczkowych
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 …
Oct. 4, 2018, 12:30 p.m.
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 …
June 7, 2018, 12:30 p.m.
- (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-center/conferences/18-opticalengineering/program
May 24, 2018, 12:30 p.m.
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 …