  This paper is devoted to a long time behavior analysis associated with flow
structure interactions at subsonic and supersonic velocities. It turns out that
an ntrinsic component of that analysis is the study of attracting sets
corresponding to von Karman plate equations with {\it delayed terms} and {\it
without rotational} terms. The presence of delay terms in the dynamical system
leads to the loss of gradient structure while the absence of rotational terms
in von Karman plates leads to the loss of compactness of the orbits. Both these
features make the analysis of long time behavior rather subtle rendering the
established tools in the theory of PDE dynamical systems not applicable. It is
our goal to develop methodology that is capable of handling this class of
problems.
