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.