Institute of Mathematics for Industry


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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.)

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.