<DOC>
<DOCNO>
1389
</DOCNO>
<TITLE>
numerical construction of detached shock waves .
</TITLE>
<AUTHOR>
garabedian,p.r.
</AUTHOR>
<BIBLIO>
j.math.phys. 36, 1957, 192.
</BIBLIO>
<TEXT>
  this article proposes a new method for solving the problem
of the detached shock wave .  if the shock wave is assumed
known, a cauchy problem for a system of partial differential
equations arises .  this has been solved by several authors
in the region where the system is elliptic (near the peak of
the shock wave) .  considering the plane stationary case, the
author seeks an analytic continuation of the propagation
function (x,y) in the complex plane y = y1 + y2, x real .
in the plane (x, y2) the propagation function satisfies a
hyperbolic equation (near the peak of the shock wave) .  a
new cauchy problem is solved and the solution of the original
problem obtained by analytic continuation .  a numerical
example is treated with many details .
</TEXT>
</DOC>
