\(L^ p\)-approach to steady flows of viscous compressible fluids in exterior domains. (English) Zbl 0809.76080
Summary: We investigate steady compressible flows in three-dimensional exterior domains for small data and for both zero and nonzero (but constant) velocity 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.
MSC:
| 76N10 | Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics |
| 35Q30 | Navier-Stokes equations |
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