Waseda University, Tokyo, Japan
1 – 4 December, 2020
Organizer
Prof. Yoshihiro Shibata
Head of the Multiscale Analysis, Modelling and Simulation Model Unit
I have organized international conferences on mathematical fluid mechanics since 2009 at Waseda University every year. These conferences are supported by a German-Japan training group between Waseda and TU Darmstadt (2009-2013), Japan Science and Technology Agency’s CREST program (2009-2015), Japan Society for the Promotion of Science(JSPS)Grant-in-aid for Scientific Research (S) (2012-2016) and the Ministry of Education, Culture, Sports, Science and Technology's Top Global University Project(2014-), JSPS Grant-in-aid Research (A) (2017-) and the Toyota Central Research Institute Joint Research Fund (2018-).
One of the main subjects is to study the Navier-Stokes equations, which is an established equation describing the fluid motion. The history of mathematical study of the Navier-Stokes equations maybe has been started by Oseen and Leray in the early 20th century. Now, one of the challenging problems in mathematical fluid dynamics is to show if the uniqueness of the Leray-Hopf weak solutions holds.
On the other hand, the study of existence of unique solutions had started later and has continued to develop with the development of several analysis tools. My purpose is to contribute this development of mathematical study of fluid dynamics based on the recent developments of the analysis tools, especially maximal regularity and stability estimation and related stationary problems and periodic solutions. To achieve this purpose, I have organized the mathematical fluid dynamics conference for a new development of studies and discussions. I have invited so many excellent speakers for the scientific talks and lectures for short course from not only inside of Japan but also abroad, especially the U.S., the U.K., Germany, Poland, Russia, Czech Republic, France, Italy, China and so on. Moreover, this conference is an opportunity for young researchers (especially doctoral course students) to communicate with excellent senior researchers and deliver their talks motivated by their own studies.
In this context, I will hold this international conference concerning the mathematical fluid dynamics, the "International Workshop on Multi-Phase Flows: Analysis, Modelling and Numerics," this year as well.
Finally, I would like to thank Prof. Mark Bowen and Prof. Martin Guest for their efforts in hosting this conference.
This workshop will be held as an activity based on the agreement between the University of Oxford and Waseda University. It was signed on 17th April, 2020 to strengthen collaboration in research and education in the fields of computer science, mathematics, and physics.
| Tue.,1 Dec. | Wed.,2 Dec. | Thu.,3 Dec. | Fri.,4 Dec. | |||
|---|---|---|---|---|---|---|
| Workshop | ||||||
| 13:00 | 13:50 |
 Masahiro
Suzuki |
13:00 | 13:50 |
 Ryosuke
Nakasato |
 Tatsu-Hiko
Miura |
9:00 | 9:50 |
 Giovanni P.
Galdi |
| 14:00 | 14:50 |
 Ken
Abe |
14:00 | 14:50 |
 Keiichi
Watanabe |
 Mitsuo
Higaki |
10:00 | 10:50 |
 Kazuyuki
Tsuda |
| 15:00 | 15:50 |
 Takayuki
Kubo |
15:00 | 15:50 |
 Yasunori
Maekawa |
 Tsuyoshi
Yoneda |
11:00 | 11:50 |
 Hirokazu
Saito |
| Student Session | ||||||
| 16:00 | 16:20 |
 Kosuke
Kita |
16:00 | 16:20 |
 Jumpei
Inoue |
 Takahiro
Ushioku |
12:00 | 12:50 |
 Tsukasa
Iwabuchi |
| 16:30 | 16:50 |
 Ryo
Kanamaru |
16:30 | 16:50 |
 Fumitaka
Wakabayashi |
 Masahito
Watanabe |
||
| 17:00 | 17:20 |
 Yoshiki
Kaneko |
|||||
| Oxford-Waseda in Mathematics | ||||||
| 18:20 | 19:00 |
18:00 | 18:50 |
 Endre
Süli |
 Hiroaki
Yoshimura |
|||
| 19:10 | 20:00 |
 Gregory
Seregin |
19:00 | 19:50 |
 Tadahisa
Funaki |
 Jan
Kristensen |
||
| 20:10 | 21:00 |
 Tohru
Ozawa |
20:00 | 20:50 |
 Gui-Qiang G.
Chen |
 Hideo
Kozono |
||
Registration has been closed.
Workshop 1 (Session Chair: Keiichi Watanabe, Waseda University)
13:00--13:50
Derivation of the Ion Equation
Masahiro Suzuki
Department of Computer Science and Engineering
Nagoya Institute of Technology, Nagoya, Japan
14:00--14:50
Existence of Vortex Rings in Beltrami Flows
Ken Abe
Department of Mathematics
Osaka City University, Osaka, Japan
15:00--15:50
Analysis of Non-Stationary Navier-Stokes Equations Approximated by the Pressure Stabilization Method
Takayuki Kubo
Faculty of Core Research Natural Science Division
Ochanomizu University, Tokyo, Japan
Student session 1 (Session Chair: Keiichi Watanabe, Waseda University)
16:00--16:20
Comparison Theorem for Parabolic Equations Governed by Nonlinear Boundary Conditions and Its Applications
Kosuke Kita
Graduate School of Advanced Science and Engineering
Waseda University, Tokyo, Japan
16:30--16:50
Optimality of Extension and Regularity Criteria on the Navier-Stokes Equations
Ryo Kanamaru
Graduate School of Fundamental Science and Engineering
Waseda University, Tokyo, Japan
17:00--17:20
Solutions of the tt*-Toda Equations and Quantum Cohomology of Flag Manifolds
Yoshiki Kaneko
Graduate School of Fundamental Science and Engineering
Waseda University, Tokyo, Japan
Oxford-Waseda in Mathematics 1 (Session Chair: Keiichi Watanabe, Waseda University)
18:20--19:00 Opening Speech
Chas Bountra
Pro-Vice Chancellor for Innovation and Professor of Translational Medicine, University of Oxford
Mike Giles
Head of Mathematics and Professor of Scientific Computing, University of Oxford
Hironori Kasahara
Senior Executive Vice
President for Research
Professor, Department of Computer Science and Engineering,
Waseda University
Yoshihiro Shibata
Director and Professor, Department of Mathematics, Waseda University
19:10--20:00
Local Regularity of Axisymmetric Solutions to the Navier-Stokes Equations
Gregory Seregin
Mathematical Institute
University of Oxford, Oxford, UK
Department of Mathematical Institute of Russian Academy of Science, St Petersburg, Russia
20:10--21:00
On the Poincaré and Related Inequalities
Tohru Ozawa
Department of Applied Physics
Waseda University, Tokyo, Japan
Workshop 2 (Session Chair: Takayuki Kubo, Ochanomizu University)
13:00--13:50
Well-Posedness and Time-Decay Estimates for the Compressible Hall-Magnetohydrodynamic System in the Critical L2 Framework
Ryosuke Nakasato
Mathematical Institute
Tohoku University, Sendai, Japan
14:00--14:50
On the Moving Contact Line Problem in Cylindrical Domains
Keiichi Watanabe
Global Center for Science and Engineering
Waseda University, Tokyo, Japan
15:00--15:50
Prandtl Boundary Layer Expansion in Gevrey Class Around Concave Boundary Layer
Yasunori Maekawa
Department of Mathematics
Kyoto University, Kyoto, Japan
Student session 2 (Session Chair: Takayuki Kubo, Ochanomizu University)
16:00--16:20
On the Unboundedness of the Ratio of the Total Population to the Total Resources in the Stationary Logistic Equation
Jumpei Inoue
Graduate School of Fundamental Science and Engineering
Waseda University, Tokyo, Japan
16:30--16:50
Removability of Time-Dependent Singularities in the Stokes Equations
Fumitaka Wakabayashi
Graduate School of Fundamental Science and Engineering
Waseda University, Tokyo, Japan
Oxford-Waseda in Mathematics 2 (Session Chair: Takayuki Kubo, Ochanomizu University)
18:00--18:50
Navier–Stokes–Fokker–Planck Systems: Existence of Large-Data Global Weak Solutions
Endre Süli
Mathematical Institute
University of Oxford, Oxford, UK
19:00--19:50
Quasilinear Stochastic PDE and Its Asymptotics in Noise
Tadahisa Funaki
Department of Mathematics
Waseda University, Tokyo, Japan
20:00--20:50
Multidimensional Transonic Shock Waves, Free Boundary Problems and Nonlinear PDEs of Mixed Type
Gui-Qiang G. Chen
Mathematical Institute
University of Oxford, Oxford, UK
Workshop 3 (Session Chair: Hirokazu Saito, The University of Electro-Communications)
13:00--13:50
Rigorous Derivation of the Surface Navier-Stokes Equations by the Thin-Film Limit
Tatsu-Hiko Miura
Department of Mathematics
Kyoto University, Kyoto, Japan
14:00--14:50
Regularity Estimates for the Stationary Navier-Stokes Equations Over Bumpy Boundaries
Mitsuo Higaki
Department of Mathematics
Kobe University, Kobe, Japan
15:00--15:50
Vortex Stretching and Enhanced Dissipation for the Incompressible 3D Navier-Stokes Equations
Tsuyoshi Yoneda
Graduate School of Mathematical Sciences
The University of Tokyo, Tokyo, Japan
Student session 3 (Session Chair: Hirokazu Saito, The University of Electro-Communications)
16:00--16:20
Multiphase Flow Analysis of Unsteady Behavior of Cloud Cavitation by the Smoothed Particle Hydrodynamics Method
Takahiro Ushioku
Graduate School of Fundamental Science and Engineering
Waseda University, Tokyo, Japan
16:30--16:50
Lagrangian Coherent Structures in Rayleigh-Benard Convection with Perturbations
Masahito Watanabe
Graduate School of Fundamental Science and Engineering
Waseda University, Tokyo, Japan
Oxford-Waseda in Mathematics 3 (Session Chair: Hirokazu Saito, The University of Electro-Communications)
18:00--18:50
Dirac Structures and Variational Formulations in Nonequilibrium Thermodynamics
Hiroaki Yoshimura
Department of Applied Mechanicsand Aerospace Engineering
Waseda University, Tokyo, Japan
19:00--19:50
Gårding Inequalities and Their Impact on Regularity and Uniqueness
Jan Kristensen
Mathematical Institute
University of Oxford, Oxford, UK
20:00--20:50
Asymptotic Properties of Steady Solutions to the 2D Navier-Stokes Equations with the Finite Generalized Dirichlet Integral
Hideo Kozono
Department of Mathematics
Waseda University, Tokyo, Japan
Workshop 4 (Session Chair: Yoshihiro Shibata, Waseda University)
9:00--9:50
On the Self-Propelled Motion of a Rigid Body in a Viscous Liquid by Time-Periodic Boundary Data
Giovanni P. Galdi
Department of Mechanical Engineering and Materials Science
University of Pittsburgh, Pittsburgh, USA
10:00--10:50
The Time Periodic Problem of the Navier-Stokes Equations in a Bounded Domain with Moving Boundary
Kazuyuki Tsuda
Faculty of Science and Engineering
Kyushu Sangyo University, Fukuoka, Japan
11:00--11:50
On the Two-Phase Navier-Stokes Equations in Unbounded Domains
Hirokazu Saito
Department of Mathematics
The University of Electro-Communications, Tokyo, Japan
12:00--12:50
Self-Similar Solutions for Compressible Navier-Stokes Equations
Tsukasa Iwabuchi
Mathematical Institute
Tohoku University, Sendai, Japan