Navier-Stokes equations with shear-thickening viscosity. Regularity up to the boundary (Q848799)
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scientific article; zbMATH DE number 5674227
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Navier-Stokes equations with shear-thickening viscosity. Regularity up to the boundary |
scientific article; zbMATH DE number 5674227 |
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Navier-Stokes equations with shear-thickening viscosity. Regularity up to the boundary (English)
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23 February 2010
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The author obtains sharp regularity estimates for stationary and time-dependent Navier-Stokes equations with shear-dependent viscosity under the non-slip boundary condition. More precisely, the author proves regularity results for second-order derivatives of velocity and for first-order derivatives of pressure up to the boundary, when the space dimension \(n\) is at least \(3\).
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weak solution
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velocity
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pressure
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