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Integral representations in two dimensional potential theory

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Zusammenfassung

Es wird gezeigt, dass mittels einer passenden Integraldarstellung der Potentialfunktion eine Klasse von Problemen der zweidimensionalen Potentialtheorie auf die Lösung einer Abelschen Integralgleichung zurückgeführt werden kann. Das Verfahren wird durch Anwendung auf Probleme der klassischen Aerodynamik, der Magnetoaerodynamik und der Elastizität veranschaulicht.

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References

  1. A. E. Green andW. Zerna,Theoretical Elasticity (Oxford 1954).

  2. W. D. Collins, Mathematika6 (1959), 120–133.

    Article  MathSciNet  Google Scholar 

  3. N. I. Muskhelishvili,Singular Integral Equations (Groningen 1953).

  4. D. S. Jones, Quart. J. Math. Oxford6 (1955), 4–8.

    Article  Google Scholar 

  5. W. R. Sears andE. L. Resler, J. Fluid. Mech.5 (1959), 257–73.

    Article  MathSciNet  Google Scholar 

  6. K. Stewartson, Z. angew. Math. Phys.12 (1961), 261–71.

    Article  Google Scholar 

  7. N. Rott andH. K. Cheng, J. Rat. Mech. Anal.3 (1954), 357–382.

    MathSciNet  Google Scholar 

  8. E. Cumberbatch, L. Sarason, andH. Weitzner—M.F.28 (1962)—Magneto-fluid dynamics D, N.Y.U.

  9. W. E. Williams, J. Maths. Mech.11 (1962), 109–120.

    Google Scholar 

  10. P. Leehey, J. Maths. Mech.6 (1957), 427–453.

    MathSciNet  Google Scholar 

  11. H. Wagner, Z. ang. Math. Mech.5 (1923), 17–35.

    Article  Google Scholar 

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Authors and Affiliations

  1. Applied Mathematics Department, University, Liverpool, UK

    W. Elwyn Williams

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  1. W. Elwyn Williams
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Williams, W.E. Integral representations in two dimensional potential theory. Z. Angew. Math. Phys. 14, 675–681 (1963). https://doi.org/10.1007/BF01601160

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  • DOI: https://doi.org/10.1007/BF01601160

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