Algebraic \(L^ 2\) decay for Navier-Stokes flows in exterior domains (Q755998)
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scientific article; zbMATH DE number 4190237
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Algebraic \(L^ 2\) decay for Navier-Stokes flows in exterior domains |
scientific article; zbMATH DE number 4190237 |
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Algebraic \(L^ 2\) decay for Navier-Stokes flows in exterior domains (English)
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1990
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The algebraic decay rates for kinetic energy of weak solution of nonsteady Navier-Stokes equations are deduced, using the properties of fractional powers of Stokes operator, for space dimensions \(>4\). The main tool is the complex interpolation theory of Banach spaces, used to obtain Sobolev imbedding theorems for domains of fractional powers. A comparison is made with the previous results for exterior domains, obtained using other methods.
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decay rates
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fractional powers
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Stokes operator
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exterior domains
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0.9930615
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0.94116455
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0.9342799
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0.92654455
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0.9174087
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