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. 17, 2015, 12:30 p.m.
Piotr Kalita (UJ)
Attractor bifurcation in Rayleigh Benard convection of micropolar fluid
In my talk I will present the results on the dependance of the attractor for the two-dimensional Rayleigh Benard convection of micropolar fluid on the Rayleigh number. I will present the proof of the existence …
Dec. 10, 2015, 12:30 p.m.
Mikołaj Sierżęga
The critical Gelfand equation with singular initial data
The Gelfand equation is a semilinear heat equation with an exponential nonlinearity encountered e.g. in the mathematical theory of combustion. In my talk I will address the problem of existence of smooth solutions for unbounded …
Dec. 3, 2015, 12:30 p.m.
Nobuyuki Kenmochi (ICM, University of Warsaw and Chiba University, Japan)
A class of doubly nonlinear quasi-variational inequalities
In this talk, a class of quasi-variational inequalities for doubly nonlinear parabolic inclusions is discussed.This work is motivated by reaction-diffusion systems with velosity constraints. The plan of the talk is: 1. Velocity constraint problems 2. …
Nov. 26, 2015, 12:30 p.m.
Aleksander Ćwiszewski (UMK)
Stationary solutions and connecting orbits for nonlinear evolution equations with p-laplacian.
Nov. 19, 2015, 12:30 p.m.
Leszek Gasiński (UJ)
p,2)-equations with double resonance (Asymmetric)
We consider a nonlinear Dirichlet elliptic problem driven by the sum of a p-Laplacian and a Laplacian (a (p,2)-Laplacian) and with a reaction term, which is superlinear in the positive direction and sublinear resonant in …
Nov. 12, 2015, 12:30 p.m.
Grzegorz Łukaszewicz
Rayleigh-Benard convection. Some mathematical problems and results
The Rayleigh-Benard convection problem, its physical description and some mathematical problems and results will be presented.
Nov. 5, 2015, 12:30 p.m.
Radosław Czaja (Institute of Mathematics, University of Silesia, Katowice)
Global Attractors for Impulsive Dynamical Systems
Oct. 29, 2015, 12:30 p.m.
Dr. Ahmad Sabra
The Minkowski Problem and lens design
Oct. 22, 2015, 12:30 p.m.
Marcin Napiórkowski (Institute of Science and Technology, Austria)
From Many-Body Quantum Mechanics to Nonlinear Schrödinger Equation and beyond
Since the experimental realization of Bose-Einstein condensation (BEC) inBose gases, it has been an ongoing challenge in mathematical physics toderive the phenomenon from the first principles of quantum mechanics. This has first been achieved in …
Oct. 15, 2015, 12:30 p.m.
Sebastian Schwarzacher
Existence, uniqueness and optimal regularity results for very weak solutions to nonlinear elliptic systems
Abstract. We establish existence, uniqueness and optimal regularity results for very weak solutions to certain nonlinear elliptic boundary value problems. We introduce structural asymptotic assumptions of Uhlenbeck type on the nonlinearity, which are su cient …
Oct. 8, 2015, 12:30 p.m.
Jakub Siemianowski (UMK)
Styczność w równaniach różniczkowych cząstkowych
Podczas referatu omówię pojęcie styczności funkcji do zbiorów wypukłych (jeśli czas pozwoli to również związki z tw. Brouwera). Pokażę jak można wykorzystać styczność do dowodu istnienia rozwiązań pewnych RRCz oraz ich lokalizacji.
June 11, 2015, 12:30 p.m.
Natalya Kizilova, dr.hab., prof. (ICM Warsaw University)
Mathematical modeling of growing biological tissues: from discrete to continual models
A brief review of mathematical models of growing biological materials is given. Surface and volumetric growth and remodeling at different external conditions are considered. The main experimental results on influence of expansion/compression load on the …
May 28, 2015, 12:30 p.m.
Paweł Subko (Uniwersytet Warszawski)
Chain-length dependent viscosity model of concentrated polymers
May 21, 2015, 12:30 p.m.
Jan Burczak
Smoothness of critical, fractional Keller-Segel and Burgers equations in 1d
I will present a disproof of a blowup conjecture for the critical, fractional one-dimensional Keller-Segel system. The main tool is a smoothness result for a modified Burgers system; it follows from a modification of the …
May 14, 2015, 12:30 p.m.
1) Joanna Janczewska 2) Marek Izydorek
1) O bifurkacjach w mechanice sprężystej. 2) Indeks Conley’a: niezmiennik topologiczny stosowany w rownaniach rozniczkowych.
1) Elastyczne płyty są podstawowymi elementami wielu konstrukcji.Pokrywy ulicznych studzienek, blaty stołów, panele ścienne i dachy budynków to tylko kilka dobrze znanych przykładów czegoś, co ma strukturę płyty. Fakt ten wyjaśnia szerokie zainteresowanie w inżynierii …