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Mixed boundary value problems for slow viscous flows: transform methods and applications

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Motivated by microfluidics applications where it is required to manipulate viscous fluids at small scales, we present new transform methods for solving mixed boundary value problems for biharmonic fields arising therein. The new method provides a unified general approach to finding quasi-analytical solutions to a variety of technologically important problems of slow viscous flows and leads to fast and accurate schemes for evaluation of the solutions. In this talk, we analyze viscous flow problems in polygonal and circular geometries motivated by biological applications.

This talk is part of the Waves Group (DAMTP) series.

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