The advection-diffusion problem in a thin curvilinear channel is considered. The multiscale finite element method is applied to solving the formulated model problem. It is shown that this method is efficient in the case of sufficiently large Peclet numbers. Numerical examples are presented and analysed.

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A method of passive millimeter-wave imaging with superresolution using a phased array antenna system has been developed. The enhancement of the image resolution has been achieved by using several mathematical methods including the new method of reduction invented by the Russian mathematician Pytiev.

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