  We proposed rigorous definitions of Radon measure solutions for boundary
value problems of steady compressible Euler equations which modeling
hypersonic-limit inviscid flows passing two-dimensional ramps, and their
interactions with still gas and pressureless jets. We proved the
Newton-Busemann pressure law of drags of body in hypersonic flow, and
constructed various physically interesting measure solutions with density
containing Dirac measures supported on curves, also exhibited examples of blow
up of certain measure solutions. This established a mathematical foundation for
applications in engineering and further studies of measure solutions of
compressible Euler equations.
