An integral formulation for some slow viscous flows with free surfaces


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.


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

Calin-Ioan Gheorghiu
Institute of Mathematics


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


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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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Romanian Academy, Publishing House of the Romanian Academy 



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