New Research


2012/08/01

Aiming for Unification of Non-linear Science

Collaborative Research and Researcher Exchange Project with European Countries

Professor・Suzuki, Takashi, Associate Professor・Okado, Masato, Assistant Professor・Takahashi, Ryo

We, at Suzuki Lab, are performing/studying theoretical analysis, which is based on the leading-edge mathematical methods, by formularization of non-linear problems while observing the phenomenon and understanding principles on Physics, Chemistry and Biology, etc., and are developing numerical analysis schemes and, with them, implementing numerical simulations.

 

Aiming for unification of non-linear science, we are also actively participating in a Marie Curie project, the Japan-France Collaborative Research/Researcher Exchange project, and the Inter-departmental Pact with the Institute of Mathematics of Toulouse. The Marie Curie project is an international research and researcher exchange project, which is funded by one of European Commissions in the EU. The purpose of the project is to unite in a cooperative and synergetic way, the work of researchers from 5 European educational institutions, including Italy's Naples Federico II and Naples Second University, etc., to consolidate and to establish scientific collaborations with Japanese educational institutions.

 

The main theme of the project is in mathematical analysis with very high international relevance, particularly nonlinear elliptic and parabolic partial differential equations, including applications to problems of various fields in physics, biology and medical sciences, such as material sciences, chemotaxis, and tumor growth. The participating interdisciplinary researchers are expected to benefit from the exchange of knowledge with complementary backgrounds and fields of interests.

 

In the meantime, we are collaborating in parallel with the University Bordeaux-I through the Japan-France Collaborative Research/Researcher Exchange Project, and the Inter-departmental Pact with the Laboratory of Theoretical Physics (LPT) along with the Institute of Mathematics of Toulouse (IMT) (the University Paul Sabatier & CNRS). We have made several short-term researcher exchanges/visits and, given those opportunities, discussed mainly the mean place approximation of the point vortex turbulence and relaxation-time approximation, from both the statistical mechanics and the mathematical science point of view. By unifying those studies, we should be able to unfold, though experimental researches, the theories of the fluid in the statistical mechanics with the mathematical science and hydrodynamics. Please refer to the Suzuki Lab Home Page for details.


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