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Zeitschrift für Analysis und ihre Anwendungen


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Volume 7, Issue 6, 1988, pp. 557–562
DOI: 10.4171/ZAA/329

Published online: 1988-12-31

On the Identification of the Adiabatic Equation of State in Compressible Gas Flow

Eckhard Kleine

The inverse problem of determining the coefficient in the differential equation $\bigtriangledown (\varrho \bigtriangledown \varphi) = 0, \varrho = \varrho (| \bigtriangledown \varphi |)$ is considered. The underlying idea is demonstrated by a consideration of gas dynamics. An appropriate formulation of the problem yields an explicit solution.

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Kleine Eckhard: On the Identification of the Adiabatic Equation of State in Compressible Gas Flow. Z. Anal. Anwend. 7 (1988), 557-562. doi: 10.4171/ZAA/329