Abstract
We consider the Navier–Stokes equations for compressible isothermal flow in the steady two dimensional case and show the existence of a weak solution in the case of mixed boundary conditions. The proof is based on an analysis of the stream function, exploiting the convective term.
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Communicated by Y. Giga
All three authors were supported in part by SFB 611.
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Frehse, J., Steinhauer, M. & Weigant, W. On Stationary Solutions for 2-D Viscous Compressible Isothermal Navier–Stokes Equations. J. Math. Fluid Mech. 13, 55–63 (2011). https://doi.org/10.1007/s00021-009-0005-2
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DOI: https://doi.org/10.1007/s00021-009-0005-2