Organizers

prof. dr hab. Grzegorz Łukaszewicz

Information

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

Research fields

Mathematical Physics and Applied Analysis

List of talks

Nov. 3, 2016, 12:30 p.m.
Tomasz Piasecki
On the steady flow of reactive gaseous mixture
I am going to talk about a system of equations describing stationary flow of chemically reactive gaseous mixture, which consist in stationary compressible Navier-Stokes-Fourier system coupled with equations describing evolution of fractional masses. I will …
Oct. 27, 2016, 12:30 p.m.
Mikołaj Sierżęga
Blow-up patterns for the Fujita equation
The Fujita equation (a semilinear heat equation with a power type nonlinearity) is among the simplest and the most thoroughly studied non-linear parabolic PDEs. Put forward in the sixties, it has been a canonical case …
Oct. 20, 2016, 12:30 p.m.
Raj Narayan Dhara (UW)
Existence and regularity theory in weighted Sobolev spaces and applications
My emphasis in this thesis is to contribute to the solvability and uniqueness of solutions to the nonhomogenous boundary value problems of elliptic type, dealing with degenerate PDEs. My aim is to consider possibly general …
Oct. 13, 2016, 12:30 p.m.
Prof. Dariusz Wrzosek
Cross-diffusion effects in extended Lotka-Volterra system describing interspecies competition
The classical Lotka-Volterra o.d.e. system describing interspecies competition with bilinear nonlinearities is fully understood. We propose an extension of the model which accounts for the random dispersal of individuals and for their capability to avoid …
Oct. 6, 2016, 12:30 p.m.
Grzegorz Łukaszewicz
Heat convection in polar fluids
The main questions we consider concern the role the microstructure plays in the heat distribution in a fluid and the stability of the fluid flow
June 2, 2016, 12:30 p.m.
Miroslav Bulicek (Charles University)
Nonlinear ellitpic equations beyond the natural duality pairing
Many real-world problems are described by nonlinear partial differential equations. A promiment example of such equations is nonlinear (quasilinear) elliptic system with given right hand side in divergence form div f data. In case data …
May 19, 2016, 12:30 p.m.
Martin Kalousek (Charles University in Prague)
Homogenization of strongly nonlinear equations.
I plan to present the homoganization process for families of strongly nonlinear elliptic equations using the two-scale convergence method.
May 12, 2016, 12:30 p.m.
Prof. Gopala Krishna Srinivasan (âIndian Institute of Technology, Bombay)
"The Gamma Function: An Eclectic Tour"
The Gamma function was introduced into analysis in 1729 by L. Euler in a letter to Goldbach. It has since then attracted the attention of the great masters of the 19th century such as Legengre, …
May 5, 2016, 12:30 p.m.
Raj Narayan Dhara (UW)
New interpretation of the boundary condition for functions in weighted Sobolev spaces.
We discuss certain new interpretation of the boundary condition for functions in weighted Sobolev space when trace embedding theorems are not known. Moreover, we will apply it to uniqueness of solutions for degenerated elliptic PDEs …
April 28, 2016, 12:30 p.m.
Agnieszka Kałamajska (WMIM)
Mocno nieliniowe nierówności multyplikatywne i ich zastosowania do nieliniowych singularnych równań różniczkowych zwyczajnych.
April 21, 2016, 12:30 p.m.
Adam Bobrowski (Politechnika Lubelska)
An averaging principle for fast diffusions in domains separated by semi-permeable membranes
We prove an averaging principle which asserts convergence of diffusions on domains separated by semi-permeable membranes, when the speed of diffusion tends to infinity while the flux through the membranes remains constant. In the limit, …
April 14, 2016, 12:30 p.m.
Piotr Rybka
Special cases of the planar least gradient problem
We study the least gradient problem in two special cases: 1) the natural boundary conditions are imposed on a part of the stricly convex domain; or 2) the Dirichlet type data are imposed on a …
April 7, 2016, 12:30 p.m.
Zbigniew Peradzyński (MIM UW)
Mathematical Modelling of fast calcium waves
We discuss a new mathematical model of so called Calcium Induced Calcium Influx waves which are propagating in some classes of biological cells.
March 31, 2016, 12:30 p.m.
Jarosław Mederski (UMK Toruń)
Brezis-Nirenberg problem for the curl-curl operator.
March 17, 2016, 12:30 p.m.
Marek Galewski (Politechnika Łódzka)
On a diffeomorphism between two Banach spaces - a variational approach
Let X;Z be Banach spaces. Main aims of the talk area) provide suffcient conditions for a C1 mapping $f : X \to Z$ to be a diffeomorphism using local dffeomorphism theorem and mountain pass theoremb) …