Institute of Mathematics for Industry

Seminar



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Mathematics in Manufacturing Industry: from studies on electric conductivity in percolation theory and computational fluid dynamics


Hold Date 2012-05-17 15:30~2012-05-17 17:00

Place Seminar Room 3, Faculty of Mathematics building, Ito Campus

Object person  

Speaker Shigeki Matsutani(Manager, Mathematical Engineering Dept.3, Analysis Technology Development Center, Canon Inc.)

summary:
In this talk, based on mathematical studies in the research and development of new devices and materials in Canon Inc., I show how mathematics plays important roles in manufacturing industry. As their examples, an electric conduction problem in terms of percolation theory, and a problem of computational method in computational fluid dynamics (CFD) are illustrated. On the studies of the conductivity as a percolation phenomenon, I mention that the industrial requirements to support a design of materials bring novel viewpoints and interesting mathematical facts to us. On the studies of the computational method in CFD, I show also that primitive insights based on singularity theory and abstract description of the fluid dynamics in terms of diffeomorphism yield a novel algorithm to analyze behavior of liquid in ink-jet printers numerically. Finally I state that the collaboration between university and industry are quite crucial in mathematical analysis even for manufacturing industry.