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Weekly research seminar
Organizers
- prof. dr hab. Grzegorz Łukaszewicz
Information
Thursdays, 12:30 p.m. , room: 5070Research fields
List of talks
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May 4, 2017, 12:30 p.m.
Jakub Siemianowski (Uniwersytet Mikołaja Kopernika w Toruniu)
The global attractor for weak and strong solutions of 2D thermomicropolar fluid flow
We present the notion of the weak and strong solutions of 2D thermomicropolar fluid equations. We show that there is a problem in showing the uniqueness of weak solutions. Nevertheless, we will examine the multivalued …
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April 27, 2017, 12:30 p.m.
Krzysztof Mizerski (Instytut Geofizyki PAN)
Convection in Navier-Stokes equations
Two funadamental approximations of the full set of the Navier-Stokes equations, i.e. for the mass conservation law, the momentum balance and the energy equation will be derived for convective systems. All the assumptios will be …
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March 30, 2017, 12:30 p.m.
Lisa Maria Kreusser (University of Cambridge)
Pattern formation of a nonlocal, anisotropic interaction model
We consider a class of interacting particle models with anisotropic repulsive-attractive interaction forces whose orientations depend on an underlying tensor field. An example of this class of models is the so-called Kuecken-Champod model describing the …
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March 23, 2017, 12:30 p.m.
Franca Hoffmann (University of Cambridge)
Homogeneous functionals in the fair-competition regime
We study interacting particles behaving according to a reaction-diffusion equation with non-linear diffusion and non-local attractive interaction. This class of equations has a very nice gradient flow structure that allows us to make links to …
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March 9, 2017, 12:30 p.m.
Edriss S. Titi (Texas A&M University and The Weizmann Institute of Science)
An Algorithm for Advancing Slow Features in Fast-Slow Systems without Scale Separation - A Young Measure Approach
In the first part of the talk, and in order to set the stage, we will offer a multi-scale and averaging strategy to compute the solution of a singularly perturbed system when the fast dynamics …
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Jan. 26, 2017, 12:30 p.m.
Martin Michalek (Charles University)
Compressible fluids, models and weak solutions
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Jan. 19, 2017, 12:30 p.m.
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Seminarium ZRFM 19 stycznia jest odwołane ze względu na konferencję Mathflows 2017 w Będlewie w tym tygodniu
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Jan. 12, 2017, 12:30 p.m.
Piotr Rybka (Uniwersytet Warszawski (MIM))
Dynamic boundary conditions for the total variation flow
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Dec. 8, 2016, 11 a.m.
Prof. Michael Winkler (Universitat Paderborn)
Emergence of large densities in chemotaxis-growth systems
We consider variants of the Keller-Segel system of chemotaxis which contain logistic-type source terms and therebyaccount for proliferation and death of cells. We briefly review results and open problems with regard to the fundamentalquestion whether …
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Dec. 8, 2016, 11 a.m.
Prof. Michael Winkler (Universitat Paderborn)
Emergence of large densities in chemotaxis-growth systems
We consider variants of the Keller-Segel system of chemotaxis which contain logistic-type source terms and therebyaccount for proliferation and death of cells. We briefly review results and open problems with regard to the fundamentalquestion whether …
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Dec. 1, 2016, 12:30 p.m.
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Seminarium ZRFM w dniu 1 grudnia nie odbędzie się.
Uczestników seminarium zapraszam serdecznie 30 listopada na godz. 15.15 do IM PANu (s.321) na "podwójne" seminarium Agnieszki Świerczewskiej-Gwiazdy i Piotra Gwiazdy o równaniu Eulera w hydrodynamice, pt.Mathematical scandal -- Euler equations.In the recent years a …
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Dec. 1, 2016, 12:30 p.m.
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Seminarium ZRFM w dniu 1 grudnia nie odbędzie się.
Uczestników seminarium zapraszam serdecznie 30 listopada na godz. 15.15 do IM PANu (s.321) na "podwójne" seminarium Agnieszki Świerczewskiej-Gwiazdy i Piotra Gwiazdy o równaniu Eulera w hydrodynamice, pt.Mathematical scandal -- Euler equations.In the recent years a …
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Nov. 24, 2016, 12:30 p.m.
Wojciech Górny
Istnienie rozwiązań dla problemu najmniejszego gradientu
W problemie najmniejszego gradientu od dwudziestu lat znane są wyniki dotyczące istnienia i jednoznaczności rozwiązania w ściśle wypukłym obszarze dla ciągłych danych brzegowych. Okazuje się, że na płaszczyźnie możliwe jest pokazanie istnienia rozwiązania przy mniej …
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Nov. 17, 2016, 12:30 p.m.
Piotr Kalita (Uniwersytet Jagielloński)
Continuity of attractors for a non-autonomous singularly perturbed hyperbolic equation.
We study the non-autonomous dynamical system given by hyperbolic equation on a bounded domain $\Omega\subset\mathbb{R}^3$ $$ \epsilon u_{tt}+u_t-\Delta u=f_\epsilon(t,u). $$ This dynamical system has uniform, pullback, and cocycle attractors. For $\epsilon=0$ the limit parabolic equation …
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