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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
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https://hal-upec-upem.archives-ouvertes.fr/hal-00693026
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Zaynab Salloum. FLOWS OF WEAKLY COMPRESSIBLE VISCOELASTIC FLUIDS THROUGH A REGULAR BOUNDED DOMAIN WITH INFLOW-OUTFLOW BOUNDARY CONDITIONS. Communications on Pure and Applied Mathematics, Wiley, 2010, 9 (3), pp.625--642. ⟨10.3934/cpaa.2010.9.625⟩. ⟨hal-00693026⟩

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