2023 Wilmington NC USA
Special Session 27: Recent Trends in Navier-Stokes Equations, Euler Equations, and Related Problems
Organizer(s): Sarka Necasova , Reimund Rautmann , Werner Varnhorn

Parallel Session 1 :: Wednesday, May 31, 13:30 – 15:30                     LH110
 13:30-14:00  Tomoki Takahashi (Tokyo Institute of Technology, Japan)
 Anisotropically spatial-temporal behavior of the Navier-Stokes flow past a rigid body
 14:00-14:30  Mimi Dai (University of Illinois at Chicago, USA)
 Singularity formation for fluid equations and models
 14:30-15:00  Maria Specovius-Neugebauer (University of Kassel, Germany)
 Time-periodic Stokes- and Navier-Stokes problems in a layer
 15:00-15:30  Werner Varnhorn (Kassel University, Germany)
 On the Helmholtz decomposition in general domains

Parallel Session 2 :: Wednesday, May 31, 16:00 – 18:30                     LH110
 16:00-16:30  Cherif Amrouche (University de Pau et des Pays de l`Adour, France)
 Study state solution of Shliomis model
 16:30-17:00  Nour Seloula (Laboratoire de mathematiques Nicolas Oresme Univcersite de Caen, France)
 On the Magnetohydrodynamic equations under different boundary conditions for the velocity and the magnetic field
 17:00-17:30  Petr Kaplicky (Charles University, Czech Rep)
 Uniqueness and regularity of flows of non-Newtonian fluids
 17:30-18:00  Tomas Neustupa (Czech Technical University, Czech Rep)
 Existence of a steady flow through a rotating radial turbine with an arbitrarily large inflow and an artificial boundary condition on the outflow
 18:00-18:30  Petr Kucera (Czech Technical University, Czech Rep)
 Regularity criteria for solutions of the Navier-Stokes equations in terms of the derivatives of several fundamental quantities along the streamlines.

Parallel Session 4 :: Thursday, June 1, 14:00 – 16:00                     LH110
 14:00-14:30  Miroslav Bul\`{\i}\v{c}ek (Charles University, Czech Rep)
 Existence analysis of a stationary compressible fluid model for heat-conducting and chemically reacting mixtures
 14:30-15:00  Martin Kalousek (Institute of Mathematics, Czech Academy of Sciences, Czech Rep)
 Existence of weak solutions for a compressible multi-component fluid structure interaction problem
 15:00-15:30  Vaclav Macha (Institute of Mathematics of the Czech Academy of Sciences, Czech Rep)
 Local-in-time existence of strong solutions to a class of the compressible non-Newtonian Navier-Stokes equations
 15:30-16:00  Ondrej Kreml (Institute of Mathematics, Czech Academy of Sciences, Czech Rep)
 Flow of a heat conducting fluid in a time-dependent domain

Parallel Session 5 :: Thursday, June 1, 16:30 – 19:00                     LH110
 16:30-17:00  Eduard Feireisl (Mathematical Institute, Czech Academy of Sciences, Czech Rep)
 On the motion of several small rigid bodies in a viscous incompressible fluid
 17:00-17:30  Milan Pokorny (Charles University, Czech Rep)
 Homogenization of Navier--Stokes--Fourier system in domains with tiny holes
 17:30-18:00  Matteo Caggio (Institute of Mathematics of the Czech Academy of Sciences, Czech Rep)
 On the high compressible limit for the Navier-Stokes-Korteweg model with density dependent viscosity
 18:00-18:30  Sarka Necasova (Institute of Mathematics, Academy of Sciences, Czech Rep)
 Energy equality for the compressible Primitive Equations with vacuum
 18:30-19:00  Zdenek Skalak (Czech Technical University, Czech Rep)
 A geometric criterion for the Navier-Stokes equations in terms of velocity direction

Parallel Session 6 :: Friday, June 2, 08:00 – 10:00                     LH110
 8:00-8:30  Jiri Neustupa (Czech Academy of Sciences, Institute of Mathematics, Czech Rep)
 A weak solvability of the stationary MHD system with inhomogeneous boundary conditions
 8:30-9:00  Minsuk Yang (Yonsei University, Korea)
 Liouville type theorems for the stationary MHD equations
 9:00-9:30  Songsong Lu (School of Mathematics, Sun Yat-sen University, Peoples Rep of China)
 Strongly compact strong trajectory attractors for the nonautonomous 3D Navier-Stokes equations
 9:30-10:00  Ana Silvestre (Instituto Superior T'{e}cnico, Universidade de Lisboa, Portugal)
 Optimal boundary control problem for steady Navier-Stokes equations with regularized directional do-nothing boundary condition