Nonlinear elliptic problems with incomplete Dirichlet conditions and the stream function solution of subsonic rotational flows past profiles or cascades of profiles. (English) Zbl 0682.76055

Feistauer, Miloslav

Apl. Mat. 34, No. 4, 318-339 (1989).

Summary: The paper is devoted to the solvability of a nonlinear elliptic problem in a plane multiply connected domain. On the inner components of its boundary Dirichlet conditions are known up to additive constants which have to be determined together with the sought solution so that the so- called trailing stagnation conditions are satisfied. The results have applications in the stream function solution of subsonic flows past groups of profiles or cascades of profiles.

MSC:

76N10	Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics
76G25	General aerodynamics and subsonic flows
35Q99	Partial differential equations of mathematical physics and other areas of application
35J25	Boundary value problems for second-order elliptic equations

Keywords:

nonviscous rotational flow; Kutta-Joukowsi trailing stagnation condition; maximum principle; solvability of a nonlinear elliptic problem; plane multiply connected domain; Dirichlet conditions; trailing stagnation conditions; cascades of profiles

References:

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