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Subsonic irrotational flows in multiply connected domains. (English) Zbl 0488.76065


MSC:

76G25 General aerodynamics and subsonic flows
35A05 General existence and uniqueness theorems (PDE) (MSC2000)
76N10 Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics
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References:

[1] Bers, Existence and uniqueness of a subsonic flow past a given profile, Comm. Pure and Apl. Math. 7 pp 441– (1954) · Zbl 0058.40601 · doi:10.1002/cpa.3160070303
[2] Bers, Partial differential equations (1964)
[3] Feistauer, Solution of elliptic problems with not fully specified Dirichlet boundary value conditions and its application in hydrodynamics, Apl. mat. 24 pp 67– (1979) · Zbl 0399.35032
[4] Feistauer, Mathematical study of rotational incompressible non-viscous flows through multiply connected domains, Apl. mat. 26 pp 345– (1981) · Zbl 0486.76025
[5] Feistauer , M. Mathematical study of three-dimensional axially symmetric stream fields of an ideal fluid 1980 · Zbl 0507.76025
[6] Ladyzhenskaya, Linear and quasilinear elliptic equations (Russ.) (1973)
[7] Ljusternik, Elements of functional analysis (Russ.) (1965)
[8] Ortega, Iterative solution of nonlinear equations in several variables (1970) · Zbl 0241.65046
[9] Shiffman, On the existence of subsonic flows of a compressible fluid, J. Rat. Mech. & Anal. 1 pp 605– (1952) · Zbl 0046.19204
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