A. Novotny et M. Padula, L(P)-APPROACH TO STEADY FLOWS OF VISCOUS COMPRESSIBLE FLUIDS IN EXTERIOR DOMAINS, Archive for Rational Mechanics and Analysis, 126(3), 1994, pp. 243-297
We investigate steady compressible flows in three-dimensional exterior
domains for small data and for both zero and nonzero (but constant) v
elocity at infinity. We prove existence and uniqueness of solutions in
L(P)-spaces, p > 3, and study their regularity as well as their decay
at infinity.