Weekly research seminar
Organizers
- prof. dr hab. Grzegorz Łukaszewicz
Information
Thursdays, 12:30 p.m. , room: 5070Research fields
List of talks
-
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 …
-
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 …
-
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 …
-
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 …
-
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 …
-
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 …
-
Jan. 26, 2017, 12:30 p.m.
Martin Michalek (Charles University)
Compressible fluids, models and weak solutions
-
Jan. 19, 2017, 12:30 p.m.
-
Seminarium ZRFM 19 stycznia jest odwołane ze względu na konferencję Mathflows 2017 w Będlewie w tym tygodniu