Physically reasonable solutions to steady compressible Navier-Stokes equations in 2D exterior domains with nonzero velocity at infinity (Q5939518)

In a previous paper [Physically reasonable solutions to steady compressible Navier-Stokes equations in the plane, Preprint Univ. Toulon (1998)], the present authors studied the asymptotic behaviour of solutions to steady compressible Navier-Stokes equations in barotropic and isothermal regime with sufficiently small external data, in particular, in the whole plane. Here, the same problem is investigated in a two dimensional exterior domain with the prescribed velocity at infinity \(v_{\infty}\not =0\). Similar results as in Dutto and Novotny (loc. cit.) are found; in particular, it is proved that there exists a unique solution which possesses the similar pointwise decay and the wake structure as the fundamental Oseen tensor.