# An integral formulation for some slow viscous flows with free surfaces

## Abstract

For some viscous incompressible flows at low Reynolds numbers we deduce a system of nonlinear integral equations for stream function and vorticity.

A coating flow problem and a capillary free boundary problem are considered in details.

## Authors

Mirela Kohr-Ile
Babes-Bolyai University, Faculty of Mathematics

Calin-Ioan Gheorghiu
Institute of Mathematics

## Keywords

slow viscous flow; free surface; stream function; vorticity; integral equation; nonlinear; coating flow; capillary flow;

### References

See the expanding block below.

## Paper coordinates

C.I. Gheorghiu, M. Kohr-Ile, An integral formulation for some slow viscous flows with free surfaces, Mathematica, 36 (59) (1994), pp. 43-54.

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Mathematica

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1222-9016

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