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WORKSHOP "Navier-Stokes motion in complex domains"
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Stefan Banach International Mathematical Center
as a Centre of Excellence

Warszawa, Śniadeckich 8

ICM, Warsaw University

WORKSHOP "NAVIER-STOKES MOTION IN COMPLEX DOMAINS"

WARSZAWA, September 28 -- October 1, 2002



Organizer: Prof. Wojciech Zajączkowski

The aim of the workshop was to discuss a relation between theoretical questions concerning regularity and applications which could be described by the Navier-Stokes equations. The main topics:



The workshop was a successful step in the theory of N-S equations and their applications.


PROGRAMME

    SUNDAY, September 29, 2002
  11.00-13.00   Introduction. Historical remarks. Regularity problem to Navier-Stokes equations
  W. Zajączkowski,
  P. Penel
  M. Pokorny

  13.00-15.00  LUNCH

  15.00-18.00   Numerical fluid dynamics
  A. Styczek

Numerical methods for three dimensional unsteady viscous flow inside a complex domains
  J. Szumbarski

Simulation of compressible flows
  J. Rokicki

  16.00-16.30   COFFEE BREAK



    MONDAY, September 30, 2002

  9.00-9.45   On some regularity criteria for the Navier-Stokes equations containing gradient of velocity
  Milan Pokorny

  9.45-10.30   Regularity criteria for Navier-Stokes equations in dependence of spectral description of the rate deformation tensor, I
  Patrick Penel

  10.30-11.00   COFFEE BREAK

  11.00-11.45   Stokes and Navier-Stokes equations describing a motion in a complex system of pipes
  Konstantin Pileckas
  .PS
  11.45-12.30   On flows through pipe-like domains
  Piotr Mucha
  .PS
  13.00-15.00  LUNCH

  15.00-15.45   Strong periodic solutions for a class of abstract evolution equations of the hydrodynamic type
  Grzegorz Łukaszewicz

  15.45-16.15   COFFEE BREAK

  16.15-17.00   Global regular and sigular solutions for a model of gravity particle
  Piotr Biler
  .PS
  9.45-10.30   Regularity criteria for Navier-Stokes equations in dependence of spectral description of the rate deformation tensor, II
  Patrick Penel



    TUESDAY, October 1, 2002

  9.00-9.45   Estimates for resolvents of semigroups
  Michael Wiegner
  .PS
  9.45-10.30   Smooth and singular global solutions to the Navier-Stokes equations
  Grzegorz Karch

  10.30-11.00   COFFEE BREAK

  11.00-11.45   On existence of smooth unsteady non-Newtonian fluids
  Peter Kaplicky

  11.45-12.30   Existence of global special regular solutions to Navier-Stokes equations
  Wojciech Zajączkowski

  13.00-15.00  LUNCH

  15.00-18.00   Round table discussion "Regularity problem to Navier-Stokes equations"





LIST OF PARTICIPANTS

Wisam Alame
phd student, Techn. Univ., Warsaw

Piotr Biler
Wrocław Univ.

Jan Cholewa
Silesian Univ. ,Katowice

Piotr Duszyński
Warsaw Univ.

Petr Kaplicky
Praha

Grzegorz Karch
Wrocław Univ.

Grzegorz Łukaszewicz
Warsaw Univ.

Piotr Mucha
Warsaw Univ.

Marek Niezgódka
ICM, Warszawa

Piotr Olszewski
Warsaw Univ.

Patrick Penel
Univ. of Toulon

Milan Pokorny
Univ. Praha

Konstantin Pileckas
Vilnius

Jacek Rokicki
Techn Univ. Warsaw

Piotr Rybka
Warsaw Univ.

Andrzej Styczek
Techn. Univ., Warsaw

Jacek Szumbarski
Techn. Univ., Warsaw

Michael Wiegner
RWTH, Aachen

Dariusz Wrzosek
Warsaw Univ.

Wojciech Zajączkowski
ICM, Warszawa