A note on the global regularity of steady flows of generalized Newtonian fluids (Q1018211)
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scientific article; zbMATH DE number 5554820
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on the global regularity of steady flows of generalized Newtonian fluids |
scientific article; zbMATH DE number 5554820 |
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A note on the global regularity of steady flows of generalized Newtonian fluids (English)
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19 May 2009
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Summary: We establish regularity results for solutions of a generalized Newtonian model in a cubic domain. We prove regularity results in the \(L^{2}\)-space for the second derivatives of the velocity and the first derivatives of the pressure. Further, we show that the gradient of weak solutions is integrable up to the boundary with any finite exponent.
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generalized Newtonian fluids
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shear thinning fluids
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global regularity
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