We present the study of the solar wind interaction with the super-Alfvenic
magnetized interstellar medium in the controversial case when fast magnetos
onic shocks are nonevolutionary, while admissible switch-on shocks cannot e
xist due to geometrical reasons. The flow behaviour and the accompanying sh
ock configuration are investigated both in the two-dimensional axisymmetric
and 2.5-dimensional, that is, permitting rotation around the symmetry axis
, statements. General questions of the origin of nonevolutionary MI-ID shoc
ks are discussed.