On a method of holomorphic functions to obtain sharp regularization rates of weak solutions of Navier-Stokes equations (Q1013010)
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scientific article; zbMATH DE number 5548791
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On a method of holomorphic functions to obtain sharp regularization rates of weak solutions of Navier-Stokes equations |
scientific article; zbMATH DE number 5548791 |
Statements
On a method of holomorphic functions to obtain sharp regularization rates of weak solutions of Navier-Stokes equations (English)
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28 April 2009
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The author consider the compressible Navier-Stokes equations. By applying for the \(L^2\) energy estimates and the Cauchy integral formula for holomorphic functions, the author deduce the bounds for higher-order derivatives of smooth solutions to Navier-Stokes equations. Then the optimal regularization rates are obtained for weak solutions by standard energy methods.
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compressible Navier-Stokes equations
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time analyticity
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\(L^2\) energy estimates
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Cauchy integral formula
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optimal regularization rates
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0.89746016
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0.89731973
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0.8920454
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