By I. Ciuperca and others

We provide a rigorous derivation of the compressible Reynolds system as a singular limit of the compressible (barotropic) Navier-Stokes system on a thin domain. In particular, the existence of solutions to the Navier-Stokes system with non-homogeneous boundary conditions is shown that may be of independent interest. Our approach is based... Show more

May 19, 2017

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A rigorous derivation of the stationary compressible Reynolds equation via the Navier-Stokes equations

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