Article
MSC:
35J25,
35J65,
35Q20,
35Q35,
35Q99,
76G25,
76N10 | MR 1008583 | Zbl 0682.76055 | DOI: 10.21136/AM.1989.104359
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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; stream function; nonlinear elliptic problem; apriori estimates
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; stream function; nonlinear elliptic problem; apriori estimates
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.
References:
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