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

Abstract: 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 methods provide a unified general approach to finding quasi-analytical solutions to a variety of technologically important problems of slow viscous flows and lead to fast and accurate schemes for evaluation of the solutions. In this talk, we focus on problems in simply and multiply connected domains, with boundaries consisting of straight-line or circular edges.

complex variablesdynamical systems

Audience: researchers in the topic

CAvid: Complex Analysis video seminar

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