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Update: 2016/02/18

# Research

The 16th International Conference, Graduate School of Mathematics, Nagoya University

## The Navier-Stokes Equations and Related Topics

—In Honor of the 60th Birthday of Professor Reinhard Farwig—

Period
March 7–11, 2016
Venue
Graduate School of Mathematics (Lecture Room 509),
Nagoya University, Nagoya, Japan
Invited Speakers
Helmut Abels (University of Regensburg),
Hi Jun Choe (Yonsei University),
Raphaël Danchin (Unversité Paris-Est Créteil),
Paul Deuring (Université du Littoral Côte d’Opale),
Reinhard Farwig (Technical University of Darmstadt),
Eduard Feireisl (Czech Academy of Sciences),
Giovanni P. Galdi (University of Pittsburgh),
Isabelle Gallagher (Université Paris VII),
Yoshikazu Giga (University of Tokyo),
Matthias Hieber (Technical University of Darmstadt),
Yoshiyuki Kagei (Kyushu University),
Takayuki Kobayashi (Osaka University),
Hideo Kozono (Waseda University),
Yasunori Maekawa (Tohoku University),
Paolo Maremonti (Seconda Università degli Studi di Napoli),
Šárka Nečasová (Czech Academy of Sciences),
Jiří Neustupa (Czech Academy of Sciences),
Takahiro Okabe (Hirosaki University),
Hisashi Okamoto (Kyoto University),
Milan Pokorný (Charles University),
Yoshihiro Shibata (Waseda University),
Masao Yamazaki (Waseda University),
Taku Yanagisawa (Nara Women's University)
Organizing Committee
Toshiaki Hishida (Nagoya University),
Yasushi Taniuchi (Shinshu University)
JSPS Grant 24224003 (Kozono), 15K04954 (Hishida), 23540194 (Taniuchi)
Nagoya University Grant
Contact to
Toshiaki Hishida
E-mail: hishida (at) math.nagoya-u.ac.jp
Phone: +81 52 789 4838

### Program

March 7 (Mon)
9:00–9:25 Registration
9:25–9:30 Opening
9:30–10:20

Yoshihiro Shibata (Waseda University)

On the free boundary problem for the Navier–Stokes equations with surface tension

10:35–11:25

Giovanni P. Galdi (University of Pittsburgh)

Self-oscillations of a Navier–Stokes liquid past a cylinder

lunch break
13:30–14:20

Matthias Hieber (Technical University of Darmstadt)

Dynamics of the Ericksen–Leslie model for nematic liquid crystal flow with general Leslie stress

14:35–15:25

Dispersive estimates for the stably stratified Boussinesq equations

tea break
15:55–16:45

Helmut Abels (University of Regensburg)

Non-Newtonian diffuse interface models for incompressible fluids with general densities

17:00–17:50

Takahiro Okabe (Hirosaki University)

Time periodic strong solution to the Navier–Stokes equations with large data

March 8 (Tue)
9:30–10:20

Yoshikazu Giga (University of Tokyo)

On the Stokes semigroup in a non-Helmholtz domain

10:35–11:25

Eduard Feireisl (Czech Academy of Sciences)

Stability issues concerning measure-valued solutions in fluid mechanics

lunch break
13:30–14:20

Masao Yamazaki (Waseda University)

Existence and uniqueness of weak solutions to the two-dimensional stationary Navier-Stokes exterior problem

14:35–15:25

Yasunori Maekawa (Tohoku University)

On stability of steady circular flows in a two-dimensional exterior domain

tea break
15:55–16:45

Jiří Neustupa (Czech Academy of Sciences)

A spectral criterion for stability of a steady flow past an obstacle

17:00–17:50

Reinhard Farwig (Technical University of Darmstadt)

260 years of equations of fluid mechanics — 10 years of $\tilde L^q$ spaces

18:30–20:30 Banquet at Restaurant Hananoki
March 9 (Wed)
9:30–10:20

Hisashi Okamoto (Kyoto University)

Some mathematical issues about special solutions of the Navier–Stokes equations

10:35–11:25

Hideo Kozono (Waseda University)

New a priori estimate of the 3D Navier–Stokes equations and its application to the Liouville-type theorem

11:40–12:30

Yoshiyuki Kagei (Kyushu University)

On Chorin's method for stationary solutions of the Oberbeck–Boussinesq equation

13:00– Excursion to Inuyama Castle
March 10 (Thu)
9:30–10:20

Paolo Maremonti (Seconda Università degli Studi di Napoli)

Regular solutions to the 2-d Navier–Stokes initial boundary value problem in exterior domains with initial data in the $L^q$-space

10:35–11:25

Isabelle Gallagher (Université Paris VII)

Solutions of Navier–Stokes–Maxwell systems in large energy spaces

lunch break
13:30–14:20

Taku Yanagisawa (Nara Women's University)

On the existence and stability of the stationary solutions of MHD equations under the inhomogeneous boundary conditions

14:35–15:25

Milan Pokorný (Charles University)

Heat-conducting, compressible mixtures with multicomponent diffusion

tea break
15:55–16:45

Šárka Nečasová (Czech Academy of Sciences)

The problem of dynamics of a self-propelled deformable body in viscous compressible fluid and the dynamics of rigid body with a cavity filled by a viscous compressible fluid

17:00–17:50

Gradient estimates for solutions to the Navier–Stokes equations with a special structure

March 11 (Fri)
9:30–10:20

Raphaël Danchin (Unversité Paris-Est Créteil)

Endpoint maximal regularity for the Stokes system in exterior domains

10:35–11:25

Takayuki Kobayashi (Osaka University)

Decay estimates of the solutions to the 2D compressible Navier–Stokes equation

lunch break
13:30–14:20

Paul Deuring (Université du Littoral Côte d’Opale)

Asymptotic behaviour of stationary viscous incompressible flow around a rigid body moving with constant velocity and rotating with constant angular velocity

14:35–15:25

Hi Jun Choe (Yonsei University)

Super integrability in Navier–Stokes equations

15:25–15:30 Closing