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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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April 28, 2016, 12:30 p.m.
Agnieszka Kałamajska (WMIM)
Mocno nieliniowe nierówności multyplikatywne i ich zastosowania do nieliniowych singularnych równań różniczkowych zwyczajnych.
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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, …
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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 …
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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.
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March 31, 2016, 12:30 p.m.
Jarosław Mederski (UMK Toruń)
Brezis-Nirenberg problem for the curl-curl operator.
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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) …
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March 10, 2016, 12:30 p.m.
Piotr Mucha
Slightly compressible flows
I plan to discuss connection between compressible and incompressible models of fluid motions. Mostly we have three classical system of the Navier-Stokes type equations. I want to concentrate our attention on the case as divergence …
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March 3, 2016, 12:30 p.m.
Tomasz Cieślak (IM PAM)
Alternative proof of the Escher-Constantin theorem
In my talk I will review a recent common work with G.Jamroz and M.Preisner concerning a new proof of the famous Escher-Constantin theorem on global existence of solutions to Camassa-Holm equations. Our proof is straitforward.
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Feb. 25, 2016, 12:30 p.m.
Prof. dr. hab. Natalya Kizilova (ICM)
Novel mathematical models in biofluid dynamics
Biological fluids possess complex rheological properties, and experimental studied of their behavior revealed inconsistency with mathematical models of classical viscous and viscoelastic fluids. In the talk a brief review of novel discrete and continuous models …
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Jan. 14, 2016, 12:30 p.m.
Henryk Leszczyński, UG.
On multi-component diffusion
I present a diagonalization method, some approximations and the problem of a contact plane derivation.
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Jan. 7, 2016, 12:30 p.m.
Michał Kowalczyk (DIM Universidad de Chile)
Kink dynamics in the $\phi^4$ model: asymptotic stability for odd perturbations in the energy space
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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 …
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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 …
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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. …
