Organizers

prof. dr hab. Grzegorz Łukaszewicz

Information

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

Research fields

Mathematical Physics and Applied Analysis

List of talks

Dec. 7, 2017, 12:30 p.m.
Aneta Wróblewska-Kamińska (IMPAN)
Przepływ płynu w obszarze zależnym od czasu/Flow of heat conducting fluid in a time dependent domain
Rozważymy istnienie słabych rozwiązań dla przepływu płynu w obszarze, który zmienia się w czasie. Przepływ opisany jest ściśliwym układem Naviera-Stokesa-Fouriera, w szczególności składa się z równania ciągłości, momentu, bilansu entropii i równania energii. Pole prędkości …
Nov. 30, 2017, 12:30 p.m.
Hanna Guze (CNMiKnO PG)
Bifurkacje z łamaniem symetrii w zagadnieniu różniczkowo- funkcyjnym opisującym nieliniowe deformacje biologicznego klastra: metody wariacyjne
Przedstawione zostaną matematyczne własności obiektu o elastycznym, wolnym brzegu, który został nazwany biologicznym klastrem. Brzeg klastra umocniony jest przy pomocy elastycznych połączeń z jądrem i jest wypełniony sprężonym gazem. Badanie deformacji biologicznego klastra sprowadza się …
Nov. 16, 2017, 12:30 p.m.
Paweł Goldstein (Uniwersytet Warszawski (MIM))
Continuity of weakly differentiable mappings of finite distortion
There are several definitions of mappings of finite distortion, which in essence reduce to the following: a weakly differentiable mapping f:\Omega\subset R^n->R^n has finite distortion if at almost all points either its Jacobian determinant J_f …
Nov. 9, 2017, 12:30 p.m.
Michał Łasica (University of Warsaw (MIM) and Sapienza University of Rome)
Existence of 1-harmonic map flow
We consider the 1-harmonic flow of maps from a bounded domain into a submanifold of Euclidean space, i.e. the gradient flow of the total variation functional restricted to maps taking value in the manifold. So …
Nov. 2, 2017, 12:30 p.m.
Ahmad Sabra (Uniwersytet Warszawski (MIM))
On the existence of bichromatic lenses
We consider the following optical setting. Rays are emitted from infinity (far field) or from a point source(near field). The rays are assumed bichromatic i.e composed of two colors. Having a refractive lens rays will …
Oct. 26, 2017, 12:30 p.m.
Krzysztof Chełmiński (Politechnika Warszawska)
Renormalized solutions in thermoplasticity
Our study is directed to mathematical analysis of thermoplasticity. This means to problems from the theory of inelastic deformations, in which the temperature affects the inelastic response of the considered material. Homogeneous systems describing thermoplastic …
Oct. 19, 2017, 12:30 p.m.
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Seminarium ZRFM w dn. 19.10.2017r z powodu choroby prelegenta zostaje odwołane
Oct. 19, 2017, 12:30 p.m.
Ahmad Sabra (Uniwersytet Warszawski (MIM))
On the existence of bichromatic lenses - SEMINARIUM ODWOŁANE
Dzisiejszego seminarium ZRFM z powodu choroby prelegenta zostaje odwołane. We consider the following optical setting. Rays are emitted from infinity (far field) or from a point source(near field). The rays are assumed bichromatic i.e composed …
Oct. 12, 2017, 12:30 p.m.
Wojciech Górny (Uniwersytet Warszawski (MIM))
Non)uniqueness of minimizers in the least gradient proble ()
In the least gradient problem with continuous boundary data it is well known that a minimizer exists and is unique. If we relax this assumption, then in many cases we recover existence of minimizers, but …
Oct. 5, 2017, 12:30 p.m.
Grzegorz Łukaszewicz (Uniwersytet Warszawski (MIM))
Micropolar meets newtonian. The Rayleigh-Bénard convection
We consider the Rayleigh–Bénard problem for the two-dimensional Boussinesq system for the micropolar fluid. Our main goal is to compare the estimates of the Nusselt number, critical Rayleigh number, and the fractal dimension of the …
June 8, 2017, 12:30 p.m.
Cristian E. Gutierrez (Temple University Philadelphia, PA)
On the numerical solution of the far field refractor problem
I will show an algorithm to construct far field one source refractors with arbitrary precision. The ideas originate in the work of Caffarelli, Kochengin and Oliker developed in the context of far field point source …
June 1, 2017, 12:30 p.m.
Iwona Skrzypczak (Uniwersytet Warszawski (MIM))
Renormalized solutions to nonlinear problems in the generalized Musielak-Orlicz spaces
I will discuss the recent results on exitence of renormalized solutions to strongly nonlinear problems with L^1-data. Unlike other studies, we are able to consider the minimal growth conditions (prescribed by any anisotropic and nonhomogeneous …
May 25, 2017, 12:30 p.m.
Tomasz Piasecki (Uniwersytet Warszawski (MIM))
On the stationary flow of a reactive gaseous mixture
We are interested in a system of equations describing stationary flow of a mixture of gases undergoing reversible chemical reactions. The system consists of the stationary compressible Navier-Stokes-Fourier equations coupled with reaction-diffusion equations describing balance …
May 18, 2017, 12:30 p.m.
Tokinaga Namba (University of Tokyo)
Well-posedness of Hamilton-Jacobi equations with Caputo’s time-fractional derivative
For the diffusion phenomena of substances in the domain with a fractal structure, it has been confirmed through experiments that it is better to consider diffusion equations replaced the integer order time derivatives with Caputo’s …
May 11, 2017, 12:30 p.m.
Mahdi Boukrouche (Jean Monnet University)
3D unsteady Navier-Stokes problem with memory and subdifferential boundary condition
We consider a mathematical model which describes the motion of a 3D unsteady fluid flow governed by Navier-Stokes system, and subjected to mixed boundary conditions with a given velocity on one part of the boundary …