Geodesic
Singular cases of the problem of continuation of the boundary-layer
Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 16, Tome 138 (1984), pp. 86-89

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Assume that the pessure gradient $p_x$ is positive and satisfies the following inequalities: $p_x\leqslant p_x(0)(1-c_1x)^\alpha$, $\alpha>-1$ or $p_x\leqslant p_x(0)(1+c_2x)^\beta$, $\beta-1$; $c_1, c_2>0$. The conditions for the existence and the uniqueness of the continuation of the boundary layer near the solid wall are obtained. 
@article{ZNSL_1984_138_a5,
     author = {V. V. Kuznetsov},
     title = {Singular cases of the problem of continuation of the boundary-layer},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {86--89},
     publisher = {mathdoc},
     volume = {138},
     year = {1984},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1984_138_a5/}
}
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V. V. Kuznetsov. Singular cases of the problem of continuation of the boundary-layer. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 16, Tome 138 (1984), pp. 86-89. http://geodesic.mathdoc.fr/item/ZNSL_1984_138_a5/