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Note on the fundamental solution of 286-1286-1286-1

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Zusammenfassung

Die Grundlösung der Differentialgleichungwy vv +y ww =0 wird untersucht. Integraldarstellungen von Lösungen, die eine Singularität im Bereichw>0 besitzen und in einer besonderen Art in den Bereichw,0 fortsetzbar sind, werden gegeben. Die Singularität fürw=0 kommt dabei als ein Spezialfall heraus. Die Reihenentwicklung des singulären Teiles der Grundlösung wird aus der Integraldarstellung abgeleitet, und der Charakter der logarithmischen Singularität fürw=0 wird dadurch gezeigt. Diese Resultate finden ihre Anwendung in der Theorie der schallnahen Potentialströmung.

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References

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Authors and Affiliations

  1. Guggenheim Aeronautical Laboratory, California Institute of Technology, Pasadena, (California)

    Julian D. Cole

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  1. Julian D. Cole
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Cole, J.D. Note on the fundamental solution of 286-1286-1286-1. Journal of Applied Mathematics and Physics (ZAMP) 3, 286–297 (1952). https://doi.org/10.1007/BF02009619

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