FLOWS OF WEAKLY COMPRESSIBLE VISCOELASTIC FLUIDS THROUGH A REGULAR BOUNDED DOMAIN WITH INFLOW-OUTFLOW BOUNDARY CONDITIONS
Abstract
We study steady isothermal motions of a nonlinear weakly compressible viscoelastic fluids of Oldroyd type in a bounded domain Omega subset of R(2),with given non-zero velocities on the boundary of Omega. We suppose that the pressure p and the extra-stress tensor tau are prescribed on the part of the boundary corresponding to entering velocities. A uniqueness and existence result for the solution (u,p,tau) is established in W(2,q)(Omega)xW(1,q)(Omega)xW(1,q)(Omega) with 2