Mathematics and Physics Unit "Multiscale Analysis, Modelling and Simulation"
Top Global University Project, Waseda University

International Workshop on
Multiphase Flows:
Analysis, Modelling and Numerics

Waseda University, Tokyo, Japan

TOP GLOBAL UNIVERSITY JAPAN1 – 4 December, 2020

New Information

  • NEW [4th December, 2020]
        The workshop has ended. Thank you for your participation.
  • [2nd November, 2020]
        Registration site is now OPEN.
  • [22nd October, 2020]
        Upload ABSTRACT & Poster.
  • [1st October, 2020]
        Website is OPEN.

Yoshihiro Shibata

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.

Date: 1-4, December 2020
Venue: Online Workshop (via Zoom and YouTube)

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.

Date: 1-4, Dec. 2020 Date: 1-4, Dec. 2020

News Release

SCHEDULE (IN JAPAN TIME=GMT+9)

Tue.,1 Dec. Wed.,2 Dec. Thu.,3 Dec. Fri.,4 Dec.
Workshop
13:00
|
13:50
Masahiro Suzuki
Masahiro
Suzuki
13:00
|
13:50
Ryosuke Nakasato
Ryosuke
Nakasato
Tatsu-Hiko Miura
Tatsu-Hiko
Miura
9:00
|
9:50
Giovanni P. Galdi
Giovanni P.
Galdi
14:00
|
14:50
Ken Abe
Ken
Abe
14:00
|
14:50
Keiichi Watanabe
Keiichi
Watanabe
Mitsuo Higaki
Mitsuo
Higaki
10:00
|
10:50
Kazuyuki Tsuda
Kazuyuki
Tsuda
15:00
|
15:50
Takayuki Kubo
Takayuki
Kubo
15:00
|
15:50
Yasunori Maekawa
Yasunori
Maekawa
Tsuyoshi Yoneda
Tsuyoshi
Yoneda
11:00
|
11:50
Hirokazu Saito
Hirokazu
Saito
Student Session
16:00
|
16:20
Kosuke Kita
Kosuke
Kita
16:00
|
16:20
Jumpei Inoue
Jumpei
Inoue
Takahiro Ushioku
Takahiro
Ushioku
12:00
|
12:50
Tsukasa Iwabuchi
Tsukasa
Iwabuchi
16:30
|
16:50
Ryo Kanamaru
Ryo
Kanamaru
16:30
|
16:50
Fumitaka Wakabayashi
Fumitaka
Wakabayashi
Masahito Watanabe
Masahito
Watanabe
17:00
|
17:20
Yoshiki Kaneko
Yoshiki
Kaneko
Oxford-Waseda in Mathematics
18:20
|
19:00

Opening

18:00
|
18:50
Endre Süli
Endre
Süli
Hiroaki Yoshimura
Hiroaki
Yoshimura
19:10
|
20:00
Gregory Seregin
Gregory
Seregin
19:00
|
19:50
Tadahisa Funaki
Tadahisa
Funaki
Jan Kristensen
Jan
Kristensen
20:10
|
21:00
Tohru Ozawa
Tohru
Ozawa
20:00
|
20:50
Gui-Qiang G. Chen
Gui-Qiang G.
Chen
Hideo Kozono
Hideo
Kozono

REGISTRATION

Registration has been closed.

ABSTRACT

Abstractis now available.

Download

PROGRAM

Tuesday, 1st December

Workshop 1 (Session Chair: Keiichi Watanabe, Waseda University)

Masahiro Suzuk

13:00--13:50

Derivation of the Ion Equation

Masahiro Suzuki

Department of Computer Science and Engineering
Nagoya Institute of Technology, Nagoya, Japan

WebSite

Ken Abe

14:00--14:50

Existence of Vortex Rings in Beltrami Flows

Ken Abe

Department of Mathematics
Osaka City University, Osaka, Japan

WebSite

Takayuki Kubo

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

WebSite

Student session 1 (Session Chair: Keiichi Watanabe, Waseda University)

Kosuke Kita

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

Ryo Kanamaru

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

Yoshiki Kaneko

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

Chas Bountra

Pro-Vice Chancellor for Innovation and Professor of Translational Medicine, University of Oxford

Mike Giles

Mike Giles

Head of Mathematics and Professor of Scientific Computing, University of Oxford

Hironori Kasahara

Hironori Kasahara

Senior Executive Vice
President for Research
Professor, Department of Computer Science and Engineering,
Waseda University

Yoshihiro Shibata

Yoshihiro Shibata

Director and Professor, Department of Mathematics, Waseda University

Gregory Seregin

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


WebSite

Tohru Ozawa

20:10--21:00

On the Poincaré and Related Inequalities

Tohru Ozawa

Department of Applied Physics
Waseda University, Tokyo, Japan

WebSite

PROGRAM

Wednesday, 2nd December

Workshop 2 (Session Chair: Takayuki Kubo, Ochanomizu University)

Ryosuke Nakasato

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

WebSite

Keiichi Watanabe

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

WebSite

Yasunori Maekawa

15:00--15:50

Prandtl Boundary Layer Expansion in Gevrey Class Around Concave Boundary Layer

Yasunori Maekawa

Department of Mathematics
Kyoto University, Kyoto, Japan

WebSite

Student session 2 (Session Chair: Takayuki Kubo, Ochanomizu University)

Jumpei Inoue

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

Fumitaka Wakabayashi

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)

Endre Süli

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

WebSite

Tadahisa Funaki

19:00--19:50

Quasilinear Stochastic PDE and Its Asymptotics in Noise

Tadahisa Funaki

Department of Mathematics
Waseda University, Tokyo, Japan

WebSite

Gui-Qiang G. Chen

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

WebSite

PROGRAM

Thursday, 3rd December

Workshop 3 (Session Chair: Hirokazu Saito, The University of Electro-Communications)

Tatsu-Hiko Miura

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

WebSite

Mitsuo Higaki

14:00--14:50

Regularity Estimates for the Stationary Navier-Stokes Equations Over Bumpy Boundaries

Mitsuo Higaki

Department of Mathematics
Kobe University, Kobe, Japan

WebSite

Tsuyoshi Yoneda

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

WebSite

Student session 3 (Session Chair: Hirokazu Saito, The University of Electro-Communications)

Takahiro Ushioku

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

Masahito Watanabe

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)

Hiroaki Yoshimura

18:00--18:50

Dirac Structures and Variational Formulations in Nonequilibrium Thermodynamics

Hiroaki Yoshimura

Department of Applied Mechanicsand Aerospace Engineering
Waseda University, Tokyo, Japan

WebSite

Jan Kristensen

19:00--19:50

Gårding Inequalities and Their Impact on Regularity and Uniqueness

Jan Kristensen

Mathematical Institute
University of Oxford, Oxford, UK

WebSite

Hideo Kozono

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

WebSite

PROGRAM

Friday, 4th December

Workshop 4 (Session Chair: Yoshihiro Shibata, Waseda University)

Giovanni P. Galdi

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

WebSite

Kazuyuki Tsuda

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

WebSite

Hirokazu Saito

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

WebSite

Tsukasa Iwabuchi

12:00--12:50

Self-Similar Solutions for Compressible Navier-Stokes Equations

Tsukasa Iwabuchi

Mathematical Institute
Tohoku University, Sendai, Japan

WebSite