Theorems of the existence of a solution for the self-similar boundary value problem of a viscous hypersonic shock layer
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 19 (1979) no. 3, pp. 701-707

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A solution of the problem is obtained by using a successive approximation method similar to Tirskii's method for the integration of the boundary layer equations. The convergence of the method is proved with some assumptions.
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O. V. Titov. Theorems of the existence of a solution for the self-similar boundary value problem of a viscous hypersonic shock layer. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 19 (1979) no. 3, pp. 701-707. http://geodesic.mathdoc.fr/item/ZVMMF_1979_19_3_a12/