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Cotygodniowe seminarium badawcze
Organizatorzy
- prof. dr hab. Grzegorz Łukaszewicz
Informacje
czwartki, 12:30 , sala: 5070Dziedziny badań
Lista referatów
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11 kwietnia 2019 12:30
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 …
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28 marca 2019 12:30
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 …
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21 marca 2019 12:30
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 …
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7 marca 2019 12:30
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 …
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28 lutego 2019 14:15
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 …
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20 grudnia 2018 12:30
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 …
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13 grudnia 2018 14:30
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 …
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29 listopada 2018 12:30
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 …
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22 listopada 2018 12:30
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 …
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8 listopada 2018 12:30
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 …
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25 października 2018 12:30
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 …
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11 października 2018 12:30
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 …
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4 października 2018 12:30
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 …
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7 czerwca 2018 12:30
- (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
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24 maja 2018 12:30
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 …
