Geodesic
Nonlinear elliptic problems with incomplete Dirichlet conditions and the stream function solution of subsonic rotational flows past profiles or cascades of profiles
Applications of Mathematics, Tome 34 (1989) no. 4, pp. 318-339

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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.
DOI : 10.21136/AM.1989.104359
Classification : 35J25, 35J65, 35Q20, 35Q35, 35Q99, 76G25, 76N10
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 
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     author = {Feistauer, Miloslav},
     title = {Nonlinear elliptic problems with incomplete {Dirichlet} conditions and the stream function solution of subsonic rotational flows past profiles or cascades of profiles},
     journal = {Applications of Mathematics},
     pages = {318--339},
     publisher = {mathdoc},
     volume = {34},
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     year = {1989},
     doi = {10.21136/AM.1989.104359},
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     zbl = {0682.76055},
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     url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.1989.104359/}
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Feistauer, Miloslav. Nonlinear elliptic problems with incomplete Dirichlet conditions and the stream function solution of subsonic rotational flows past profiles or cascades of profiles. Applications of Mathematics, Tome 34 (1989) no. 4, pp. 318-339. doi: 10.21136/AM.1989.104359

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