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Stokes problem and Muskhelishvili integral equations

  • Approximate Methods of Solution of Boundary-Value Problems of Mathematical Physics
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Abstract

Muskhelishvili integral equations are derived for the Stokes problem of steady-state plane viscous flow in an arbitrary bounded simply connected region D. The characteristics of some FORTRAN modules for solving these equations are given and the numerical solution of the Stokes problem for a disk is described.

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References

  1. D. G. Ionescu, "Theory of analytical functions and hydrodynamics of viscous liquids," in: Applications of the Theory of Functions in Mechanics of Continua [in Russian], Part 2, Moscow (1965), pp. 236–252.

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Authors
  1. Ya. F. Vasilenko
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  2. V. S. Chemeris
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Additional information

Institute of Mathematics, Ukrainian Academy of Sciences, Kiev University. Translated from Vychislitel'naya i Prikladnaya Matematika, No. 68, pp. 69–76, 1989.

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Vasilenko, Y.F., Chemeris, V.S. Stokes problem and Muskhelishvili integral equations. J Math Sci 69, 1424–1429 (1994). https://doi.org/10.1007/BF01250586

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  • DOI: https://doi.org/10.1007/BF01250586

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