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SS26: Recent Trends in Navier-Stokes Equations, Euler Equations and Related Problems.

Organizer(s):
Name:	Affiliation:	Country:
Sarka Necasova	Institut of Mathematics,Academy of Sciences	Czech Rep
Reimund Rautmann	Paderborn University	Germany
Werner Varnhorn	University of Kassel	Germany

Abstract:
The active research on this field in many places around the world has led to important new results in diverse directions: e.g. convex integration, measure-valued solutions, weak-strong uniqueness, relative entropy inequality, local smoothness criteria for 3D- solutions, regularity by properties of the vorticity or of one component of the velocity field, singular solutions, self-similar solutions, lower bounds to blowing up solutions, norm inflation, analyticity in general spaces, Lagrangean representation of flows, fluid flow with Chemotaxis, fluid-structure interaction, motion of fluids around rigid or elastic bodies, problem of collisions, nonstandard boundary conditions. The aim of our special session is to bring together researchers working in different directions in order to initiate fruitful discussions.

List of approved abstract
Name	Affiliation	Title
ken abe	Osaka City University	Global well-posedness of the two-dimensional exterior Navier-Stokes equations for non-decaying data
Hyeong-Ohk Bae	Ajou University	Interior regularity to the steady incompressible fluids with non-standard growth
Petr Kucera	Czech Academy of Sciences	STRONG SOLUTIONS OF THE NAVIER-STOKES EQUATIONS WITH VARIOUS TYPES OF BOUNDARY CONDITIONS
Vaclav Macha	Czech Academy of Sciences	Body with a cavity filled with a compressible fluid
Piotr Mucha	University of Warsaw	Bi-fluid: existenence of weak solutions
Boris Muha	University of Zagreb	Weak-strong uniqueness for a fluid-rigid body interaction problem
Sarka Necasova	Academy of Sciences, Institute of Math.	Influence of pressure and bulk viscosity in congestion phenomena
Jiri Neustupa	Czech Academy of Sciences	On regularity of a weak solution to the Navier-Stokes equations in dependence on some particular quantities
Tomasz Piasecki	University of Warsaw	On strong dynamics of a two component mixture flow
Reimund R Rautmann	Paderborn University, Institute of Mathematics	Stable mild Navier-Stokes solutions
Ana L Silvestre	Instituto Superior T`ecnico, Universidade de Lisboa	Boundary control of a self-propelled body in a Navier-Stokes liquid
Zdenek Skalak	Mathematical Institute CAS	Navier-Stokes equations - a survey of recent regularity results in terms of $\\nabla u_3$, $\\partial_3 u$ and $\\partial_1 u_3$.
Maria Specovius-Neugebauer	University of Kassel	About time periodic solutions to the Stokes system in a layer
Werner Varnhorn	Kassel University - Germany	Some remarks on Leray`s structure theorem
Aneta Wr\\'{o}blewska-Kami\\'{n}ska	Polish Academy of Sciences / Imperial College London	Flow of heat conducting fluid in a time dependent domain