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Zeitschrift für Analysis und ihre Anwendungen


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Volume 6, Issue 5, 1987, pp. 449–458
DOI: 10.4171/ZAA/263

Published online: 1987-10-31

Studies On Transonic Flow Problems by Nonlinear Variational Inequalities

H.-P. Gittel[1]

(1) Universität Leipzig, Germany

The transonic flow problem is handled as a variational inequality in a convex set which is given by a suitable entropy condition, by a bound for the gas velocity and by boundary conditions for the velocity potential. Using Katchanov’s method and the compactness of the convex set this variational inequality is solved. Furthermore, a result on flows in the subsonic region is given.

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Gittel H.-P.: Studies On Transonic Flow Problems by Nonlinear Variational Inequalities. Z. Anal. Anwend. 6 (1987), 449-458. doi: 10.4171/ZAA/263