Previous |  Up |  Next


Title: On some properties of solutions of transonic potential flow problems (English)
Author: Gittel, Hans-Peter
Language: English
Journal: Aplikace matematiky
ISSN: 0373-6725
Volume: 34
Issue: 5
Year: 1989
Pages: 402-416
Summary lang: English
Summary lang: Russian
Summary lang: Czech
Category: math
Summary: 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. (English)
Keyword: solutions of transonic potential flow problems
Keyword: variational inequalities
Keyword: generalized methods
Keyword: elliptic partial differential equations of the second order
Keyword: maximum principle
Keyword: comparison principle
Keyword: weak formulation
MSC: 35Q35
MSC: 49S05
MSC: 76H05
idZBL: Zbl 0689.76019
idMR: MR1014081
DOI: 10.21136/AM.1989.104368
Date available: 2008-05-20T18:37:33Z
Last updated: 2020-07-28
Stable URL:
Reference: [1] M. Feistauer J. Nečas: On the solvability of transonic potential flow problems.Z. Anal. Anw. 4 (1985), 305-329. MR 0807140, 10.4171/ZAA/155
Reference: [2] M. Feistauer J. Nečas: On the solution of transonic flows with weak shocks.Comment. Math. Univ. Carolinae, 27 (1986), 791 - 804. MR 0874673
Reference: [3] M. Feistauer J. Nečas: Viscosity method in a transonic flow.Comm. Partial Differential, Equations (to appear). MR 0940958
Reference: [4] M. Feistauer J. Nečas: Remarks on the solvability of transonic flow problems.Manuscr. Math. (to appear). MR 0952087
Reference: [5] D. Gilbarg N. S. Trudinger: Elliptic partial differential equations of second order.Springer- Verlag, Berlin, 1977. MR 0473443
Reference: [6] H.-P. Gittel: Studies on transonic flow problems by nonlinear variational inequalities.Z. Anal. Anw., 6 (1987), 449-458. Zbl 0655.76050, MR 0923530, 10.4171/ZAA/263
Reference: [7] L. D. Landau E. M. Lifschitz: Lehrbuch der Theoretischen Physik, Bd. VI: Hydrodynamik.Akademie-Verlag, Berlin, 1966.
Reference: [8] C. Morawetz: On a weak solution for a transonic flow problem.Comm. Pure Appl. Math., 38 (1985), 797-818. Zbl 0615.76070, MR 0812348, 10.1002/cpa.3160380610
Reference: [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


Files Size Format View
AplMat_34-1989-5_7.pdf 1.610Mb application/pdf View/Open
Back to standard record
Partner of
EuDML logo