Publication at Faculty of Mathematics and Physics |
2005
Abstract
We consider the steady compressible Navier-Stokes equations of isentropic flow in three-dimensional domains with several exits to infinity with prescribed pressure drops. On the one hand, when each exit is supposed to contain a cone inside, we shall construct bounded energy weak solution for adiabatic constant $\gamma gt 3$.
On the other hand, when the exits do not open sufficiently rapidly, we shall prove a non-existence result.