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Ying-Hung Liu

2011-11-10
10:45:00 - 12:15:00

308 , Mathematics Research Center Building (ori. New Math. Bldg.)

Homogenization theory is a mathematical skill to deal with multiple-scale problems arising in physical and engineering sciences. Due to the coarse-grained average, we can obtain the effective properties from micro-scale periodic structures. In this talk, two disparate examples will be addressed: (i) dispersion phenomenon in desalination, (ii) acoustic waveguide in metamaterials. In the first problem, we will discuss the dispersion of the salt in pressure exchanger devices and in the second one, the possibility of the negative group velocity that is crucial in metamaterials is considered. In each case, homogenization analysis can be achieved through the perturbation and order analysis so that we can accomplish fundamental understanding of the system we are interested in.