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solutions of transonic potential flow problems; variational inequalities; generalized methods; elliptic partial differential equations of the second order; maximum principle; comparison principle; weak formulation

References:

[1] M. Feistauer J. Nečas: **On the solvability of transonic potential flow problems**. Z. Anal. Anw. 4 (1985), 305-329. DOI 10.4171/ZAA/155 | MR 0807140

[2] M. Feistauer J. Nečas: **On the solution of transonic flows with weak shocks**. Comment. Math. Univ. Carolinae, 27 (1986), 791 - 804. MR 0874673

[3] M. Feistauer J. Nečas: **Viscosity method in a transonic flow**. Comm. Partial Differential, Equations (to appear). MR 0940958

[4] M. Feistauer J. Nečas: **Remarks on the solvability of transonic flow problems**. Manuscr. Math. (to appear). MR 0952087

[5] D. Gilbarg N. S. Trudinger: **Elliptic partial differential equations of second order**. Springer- Verlag, Berlin, 1977. MR 0473443

[6] H.-P. Gittel: **Studies on transonic flow problems by nonlinear variational inequalities**. Z. Anal. Anw., 6 (1987), 449-458. DOI 10.4171/ZAA/263 | MR 0923530 | Zbl 0655.76050

[7] L. D. Landau E. M. Lifschitz: **Lehrbuch der Theoretischen Physik, Bd. VI: Hydrodynamik**. Akademie-Verlag, Berlin, 1966.

[8] C. Morawetz: **On a weak solution for a transonic flow problem**. Comm. Pure Appl. Math., 38 (1985), 797-818. DOI 10.1002/cpa.3160380610 | MR 0812348 | Zbl 0615.76070

[9] J. Nečas J. Mandel M. Feistauer: **Entropy regularization of the transonic potential flow problem**. Comment. Math. Univ. Carolinae, 25 (1984), 431 - 443. MR 0775562