**CONFERENCE**

**Vorticity, Rotation and Symmetry (IV) – Complex Fluids and the Issue of Regularity**

**May 8 - 12, 2017**

Vorticity, Rotation and Symmetry (IV) - Complex Fluids and the Issue of Regularity is part 4 of a series of previous conferences named
Vorticity, Rotation and Symmetry - Stabilizing and Destabilizing Fluid MotionVorticity, Rotation and Symmetry (II) - Regularity of Fluid Motion Vorticity, Rotation and Symmetry (III) - Approaching Limiting Cases of Fluid Flow These conferences took place at CIRM Luminy in 2008, 2011 and 2014, respectively, and have been very successful. This series of conferences on mathematical fluid dynamics has become worldwide-known and highly appreciated along with a similar conference series at MFO (Mathematisches Forschungsinstitut Oberwolfach, Germany) and at the Banach Center in Bedlewo (Poland). In contrast to the previous conferences this workshop will mainly focus on “complexity in fluid mechanics” and on the aspect of regularity in this context. In our proposal, complexity has two meanings, namely • Problems related to complex models encountered in fluid mechanics: Non-Newtonian fluids, mixtures and the huge variety of complex fluids (e.g. suspensions or polymeric fluids), analysis of two-phase flows (sharp or diffuse interface models), transport processes occurring at fluid interfaces, complex fluids with increasing levels of physico-chemical interface properties, radiative effects, etc. • “Complex” behavior of classical fluid flow: Behavior in a neighborhood of possible singularities in time or space-time, the open problem of regularity for Navier-Stokes equations, vortex stretching phenomena, special initial values e.g. with oscillating behavior, issue of regularity for non-Newtonian fluids, heat-conductive fluids, compressible fluids, etc. The conference is intended to bring together internationally leading scientists from various branches of mathematical fluid dynamics, with focus on complex fluids and on the issue of regularity, but also young researchers from these fields. We are planning to publish the conference proceedings in a regular journal as we did for the last three conferences in this series. |
Scientific CommitteeEduard Feireisl (Czech Academy of Sciences) Giovanni Galdi (University of Pittsburgh) Isabelle Gallagher (Université Paris Diderot) Grzegorz Karch (Uniwersytet Wroclawski) Senjo Shimizu (Shizuoka University) Organizing CommitteeRaphaël Danchin (Université Paris-Est Créteil Val-de-Marne) Reinhard Farwig (Technische Universität Darmstadt) Jiri Neustupa (Czech Academy of Sciences) Patrick Penel (Université du Sud Toulon-Var) |

**Speakers**

Helmut Abels (University of Regensburg) -

*Sharp Interface Limit for a Stokes/Allen-Cahn System*

Chérif Amrouche (Université de Pau) -

*New Regularity Results for Elliptic Problems*

Corentin Audiard (UPMC) -

*Global solutions of the Euler-Korteweg equations*

Didier Bresch (Université Savoie Mont Blanc)

*- Mathematical results around Euler-Korteweg and Navier-Stokes-Korteweg systems*

Dongho Chae (Chung-Ang University) -

*Liouville type theorems for the Euler and related equations*

Hi Jun Choe (Yonsei University)

*- Type I singularities of Navier-Stokes equations*

Camillo De Lellis (University of Zurich)

*- Dissipative Euler flows with Holder exponents below 1/3*

Paul Deuring (Université du Littoral Côte d'Opale)

*- Decay in time and in space of solutions to the time-dependent Oseen system*

Carlo R. Grisanti (University of Pisa)

*- The p-Laplacian singular system in exterior domains: regularity and time behaviors*

Toshiaki Hishida (Nagoya University)

*- L q -L r estimates of a generalized Oseen evolution operator, with applications to the Navier-Stokes flow past a rotating obstacle*

Yoshiyuki Kagei (Kyushu University)

*- Bifurcation of the compressible Taylor vortex*

Kyungkeun Kang (Yonsei University)

*- Existence of regular solutions for non-Newtonian Navier-Stokes equations of powerlaw type*

Grzegorz Karch (University of Wroclaw)

*- Blowup phenomena in conservation laws with fractional Laplacian and nonlocal fluxes*

Hideo Kozono (Waseda University, Tokyo) -

*Finite energy for the Navier-Stokes equations and Liouville-type theorems in two dimensional domains*

Ondrej Kreml (Czech Academy of Sciences

*) - On the Riemann problem for the 2D compressible isentropic Euler equations*

Mads Kyed (TU Darmstadt)

*- On L p estimates for time-periodic solutions to parabolic boundary value problems of Agmon-Douglis-Nirenberg type*

Pierre Gilles Lemarié-Rieusset (Université Evry Val d'Essonne)

*- On stability of dissipative solutions and the role of vorticity*

Xian Liao (University of Bonn)

*- Global regularity of two-dimensional density patch for inhomogeneous incompressible viscous flow*

Václav Mácha (Czech Academy of Sciences) -

*Inviscid limit for the compressible system with non-local interactions*

Josef Málek (Charles University Prague)

*- On the analysis of a class of thermodynamically compatible viscoelastic fluids with stress diffusion*

Nader Masmoudi (New York University, Courant Institute)

*- Stability of the 3D Couette Flow*

Evelyne Miot (Université Grenoble Alpes)

*- An asymptotic regime for the Vlasov-Poisson system*

Šárka Nečasová (Czech Academy of Sciences)

*- Weak-strong uniqueness for fluid-rigid body interaction problem with slip boundary condition*

Charlotte Perrin (RWTH Aachen) -

*A model of fluid with pressure dependent viscosity*

Konstantin Pileckas (Vilnius University)

*- On Singular Solutions of Time-Periodic Stokes Problems in a Power Cusp Domain*

Milan Pokorny (Charles University Prague)

*- Steady equations describing flow of chemically reacting heat conducting compressible mixtures*

Chenyin Qian (Zhejiang Normal University) - Asymptotic behavior for the quasi-geostrophic equations with fractional dissipation in R2

Michael Růžička (University of Freiburg)

*- Analysis of Fluid Models with Microstructure*

Jonas Sauer (Max Planck Institute Leipzig) -

*Partially Periodic Instationary Generalized Stokes Equations and an Application to Stability of Viscoelastic Poiseuille-Type Flows*

Andreas Schmidt (TU Darmstadt) -

*The Navier-Stokes equations with the Coulomb boundary condition*

Gregory A. Seregin (University of Oxford and Steklov Institute St. Petersburg)

*- Remarks on Liouville Type Theorems for Steady-State Navier-Stokes Equations*

Timofey Shilkin (V.A. Steklov Institute of Mathematics)

*- On the local properties of weak solutions to elliptic equations with divergence-free drifts*

Senjo Shimizu (Kyoto University) -

*Strong solutions of the Navier-Stokes equations based on the maximal Lorentz regularity theorem in Besov spaces*

Maria Specovius-Neugebauer (University of Kassel)

*- Remark about the Helmholtz-decomposition in a cone*

Yasushi Taniuchi (Shinshu University)

*- Brezis-Gallouet-Wainger type inequality and its application to Navier-Stokes equations in unbounded domains*

Marius Tuscnak (Université de Bordeaux)

*- Motion of solids in a viscous gas: wellposedness and long-time behavior*

Erika Ushikoshi (Yokohama National University)

*- Hadamard variational formula for the eigenvalue of the Stokes equations and its applications*

David Wegmann (TU Darmstadt)

*- Existence of Strong Solutions and Decay of Turbulent Solutions of Navier-Stokes Flow with Nonzero Dirichlet Boundary Data*

Minsuk Yang (Korea Institute for Advanced Study)

*- On singularities for L∞ (0, T; L 3 weak(R3 )) solutions to the Navier–Stokes equations*

Ping Zhang (Chinese Academy of Sciences, Beijing)

*- Large time behavior os solutions to 3-D MHD system with initial data near equilibrium*