The paper deals with solutions of transonic potential flow problems handled in the weak form or as variational inequalities. Using suitable generalized methods, which are well known for elliptic partial differential equations of the second order, some properties of these solutions are derived. A maximum principle, a comparison principle and some conclusions from both ones can be established.
@article{104368, author = {Hans-Peter Gittel}, title = {On some properties of solutions of transonic potential flow problems}, journal = {Applications of Mathematics}, volume = {34}, year = {1989}, pages = {402-416}, zbl = {0689.76019}, mrnumber = {1014081}, language = {en}, url = {http://dml.mathdoc.fr/item/104368} }
Gittel, Hans-Peter. On some properties of solutions of transonic potential flow problems. Applications of Mathematics, Tome 34 (1989) pp. 402-416. http://gdmltest.u-ga.fr/item/104368/
On the solvability of transonic potential flow problems, Z. Anal. Anw. 4 (1985), 305-329. (1985) | MR 0807140
On the solution of transonic flows with weak shocks, Comment. Math. Univ. Carolinae, 27 (1986), 791 - 804. (1986) | MR 0874673
Viscosity method in a transonic flow, Comm. Partial Differential, Equations (to appear). | MR 0940958
Remarks on the solvability of transonic flow problems, Manuscr. Math. (to appear). | MR 0952087
Elliptic partial differential equations of second order, Springer- Verlag, Berlin, 1977. (1977) | MR 0473443
Studies on transonic flow problems by nonlinear variational inequalities, Z. Anal. Anw., 6 (1987), 449-458. (1987) | MR 0923530 | Zbl 0655.76050
Lehrbuch der Theoretischen Physik, Bd. VI: Hydrodynamik, Akademie-Verlag, Berlin, 1966. (1966)
On a weak solution for a transonic flow problem, Comm. Pure Appl. Math., 38 (1985), 797-818. (1985) | Article | MR 0812348 | Zbl 0615.76070
Entropy regularization of the transonic potential flow problem, Comment. Math. Univ. Carolinae, 25 (1984), 431 - 443. (1984) | MR 0775562