FLOWS OF WEAKLY COMPRESSIBLE VISCOELASTIC FLUIDS THROUGH A REGULAR BOUNDED DOMAIN WITH INFLOW-OUTFLOW BOUNDARY CONDITIONS - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Communications on Pure and Applied Mathematics Année : 2010

FLOWS OF WEAKLY COMPRESSIBLE VISCOELASTIC FLUIDS THROUGH A REGULAR BOUNDED DOMAIN WITH INFLOW-OUTFLOW BOUNDARY CONDITIONS

Résumé

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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Dates et versions

hal-00693026 , version 1 (01-05-2012)

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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, 2010, 9 (3), pp.625--642. ⟨10.3934/cpaa.2010.9.625⟩. ⟨hal-00693026⟩
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