We establish the existence, stability, and asymptotic behavior of transonic flows with a transonic shock for the steady, full Euler equations in two-dimensional infinite nozzles of slowly varying cross-sections. Given a smooth incoming flow that is close to a uniform supersonic state at the entrance, we prove that there exists a transonic flow whose infinite downstream smooth subsonic region is...

Recent studies about the Lamb vector have led to development of vortex-force theory: a formulation able predict aerodynamic force in compressible flows and decompose it into lift, lift-induced drag, profile drag. Here, revised theory developed at ONERA collaboration with University Naples is presented applied steady transonic flows. In mathematical developments, special care given presence shoc...