An Integral representation of Flows Near the Sound Speed

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Summary: "This paper is concerned with the Tricomi equation ηψθθ+ψηη=0. This differential equation of mixed type is transformed into a formally hyperbolic equation in the complex plane. The solutions of this equation are calculated by an integral operator. For this we consider a transformation for simplifying the differential equation. The kernel of this transformation can be represented in closed form. The integral operator also provides a way for studying some properties of the solutions. This equation can be solved as well for the subsonic and supersonic zone as for their transonic line η=0 which corresponds to the sound speed. Some particular solutions of the Tricomi equation which are already known are special cases of this solution.''
Original languageEnglish
Pages (from-to)129-143
Number of pages11
JournalTheoretical and Applied Mechanics
Publication statusPublished - 1999

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