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

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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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About this paper

Journal

Mathematica

Publisher Name

Romanian Academy, Publishing House of the Romanian Academy 

DOI

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Print ISSN

1222-9016

Online ISSN

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