Abstract
The motion of gas in that region of curved hypersonic shock wave, where the angle of inclination τ of the latter to the velocity vector of the unperturbed stream is small, is analyzed with the use of Navier-Stokes equations. The number of terms retained in expansions of unknown functions in powers of τ is such as to permit the extension of solution into a new inviscid region by using the method of matching outer and inner asymptotic expansions. The statement of the problem in the new region is distinguished by that functions are specified at a point not by their values but by Taylor series.
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