Compressible flows: new existence results and justification of the Reynolds asymptotic in thin films (Q2883253)
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scientific article; zbMATH DE number 6033704
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Compressible flows: new existence results and justification of the Reynolds asymptotic in thin films |
scientific article; zbMATH DE number 6033704 |
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11 May 2012
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Navier-Stokes equations
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density-dependent viscosity
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lubrication
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Compressible flows: new existence results and justification of the Reynolds asymptotic in thin films (English)
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The paper deals with classical compressible Navier-Stokes equations in bounded domains. The viscosity is assumed to depend on the density of the fluid. The authors prove existence theorems for stationary and non-stationary cases. The results are extended to thin film theory and have application to lubrication problems. Convergence results are obtained for the compressible Reynolds equation in the stationary and non-stationary cases.
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