SEMINARIUM
Zakładu Równań Różniczkowych IM UWr.



Tematyka spotkań w roku akad. 2013 - 2014



7 października 2013 r.
Przegląd wakacyjnych konferencji

Będlewo, Łódź, Cortona, Praha, Gdańsk


14 października 2013 r.
Łukasz Paszkowski

Mathematical models of the evolution of dislocations in crystals - an overview


21 października 2013 r.
Sławomir Rybicki (UMK)

Łamanie symetrii w nieliniowych równaniach eliptycznych


28 października 2013 r.
Łukasz Płociniczak (PWr, IM PAN)

Matematyka na oko


4 listopada 2013 r.
Łukasz Płociniczak (PWr, IM PAN)

Mathematics of the human eye - mathematical results


4 listopada 2013 r.
Petro Venherskyi (Lviv)

Stability of fluid in open channels

Lecture in Russian with English slides

Łukasz Paszkowski

A mathematical model of the evolution of dislocations in crystals. Creation of walls of dislocations.


11 listopada 2013 r.
Łukasz Paszkowski

A mathematical model of the evolution of dislocations in crystals. Creation of walls of dislocations. Continuation.


2 grudnia 2013 r.
Piotr Biler

Global existence for diffusion-electromigration systems in space dimension three and higher by Dieter Bothe, Andre Fischer, Michel Pierre, Guillaume Rolland avaiable here: arxiv.org/abs/1311.1652


16 grudnia 2013 r.
Xiaoxin Zheng (Uniwersytet Wroclawski)

Singular solutions of the heat equation - with applications to the Navier-Stokes system


13 stycznia 2014 r.
Wojciech Zajaczkowski (IM PAN)

Stability of large solutions of the Navier-Stokes system


20 stycznia 2014 r.
Beata Staśkiewicz (Politechnika Wrocławska)

A new mathematical way to determine the vapor-liquid equilibrium curve


27 stycznia 2014 r.
Piotr Biler (Uniwersytet Wroclawski)

Large global-in-time solutions of the parabolic-parabolic Keller-Segel system on the plane


3 marca 2014 r.
Piotr Biler (Uniwersytet Wroclawski)

Blowup and Morrey norms in the Keller-Segel model of chemotaxis


10 marca 2014 r.
Piotr Biler (Uniwersytet Wroclawski)

Keller-Segel model with consumption rate


17 marca 2014 r.
Grzegorz Karch (Uniwersytet Wroclawski)

Two-dimensional fractal Burgers equation with step-like initial conditions


31 marca 2014 r.
Lukasz Plociniczak (Politechnika Wroclawska)

Approximation of the solution to the anomalous diffusion equation


7 kwietnia 2014 r.
Grzegorz Karch

Blowup of solutions to reaction-diffusion equations of the activator-inhibitor type. PART I.

(joint work with Kanako Suzuki and Jacek Zienkiewicz)


14 kwietnia 2014 r.
Moritz Kassmann

PDE techniques for the study of nonlocal boundary value problems


12 maja 2014 r.
Grzegorz Karch

Blowup of solutions to reaction-diffusion equations of the activator-inhibitor type, PART II

(joint work with Kanako Suzuki and Jacek Zienkiewicz) Abstract: This time, the blowup of solutions will be proved.


19 maja 2014 r.
Piotr Knosala

Rozwiązania stacjonarne równań aerotaksji


26 maja 2014 r.
Wojbor Woyczynski (Case Western Reserve University, Cleveland)

Nonlocal and nonlinear evolution equations and hydrodynamic limits of interacting particle systems

Abstract of the talk: One of the motivations of our program was to develop understanding of the interplay between the nonlinear and nonlocal components in evolution equation driven by the infinitesimal generators of stochastic processes with jumps, such as Levy processes and flights. In particular, we also studied probabilistic approximations (hydrodynamic limit, propagation of chaos) for several extensions of the classical quasilinear and strongly linear PDEs, including the conservation laws, porous medium and reaction-diffusion type equations for Darwinian evolutionary population models where the hydrodynamic limits may still preserve some background random noise. Everybody is cordially invited! More information about the seminar can be found at: www.im.pwr.wroc.pl/~kwasnicki/seminar