An. Bogdanov, HIGHER APPROXIMATIONS OF THE TRANSONIC EXPANSION IN PROBLEMS OF UNSTEADY TRANSONIC FLOW, Journal of applied mathematics and mechanics, 61(5), 1997, pp. 775-786
Modifications of the equation of unsteady transonic flow are investiga
ted, which avoid the drawbacks which arise when using the transonic ap
proximation (the Lin-Reissner-Tsien equations) and other equations of
unsteady transonic flow to describe transonic hows. Several problems c
oncerning Bows of this kind (the stability of transonic Bows, the form
ation of unsteady shock waves and the mathematical modelling of flows)
are solved. (C) 1998 Elsevier Science Ltd. All rights reserved.