On the exterior steady problem for the equations of a viscous isothermal gas. (English) Zbl 0778.76087
Summary: We prove existence and a representation formula for solutions to the equations describing steady flows of an isothermal, viscous, compressible gas having a positive infimum for the density, moving in an exterior domain, when the speed of the obstacle and the external forces are sufficiently small.
MSC:
76N10 | Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics |
35Q35 | PDEs in connection with fluid mechanics |