The critical Sobolev inequalities in Besov spaces and regularity criterion to some semi-linear evolution equations (Q1433411)
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scientific article; zbMATH DE number 2075729
| Language | Label | Description | Also known as |
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| English | The critical Sobolev inequalities in Besov spaces and regularity criterion to some semi-linear evolution equations |
scientific article; zbMATH DE number 2075729 |
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The critical Sobolev inequalities in Besov spaces and regularity criterion to some semi-linear evolution equations (English)
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17 June 2004
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The authors give critical Sobolev inequalities in Besov spaces with logarithmic form similar to those of Brezis-Gallouet-Wainger and Beale-Kato-Majda. Applications to the regularity problem under the critical condition to the Navier-Stokes equations, the Euler equations and the gradient flow to the harmonic map to the sphere are discussed.
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regularity
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Navier-Stokes equations
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Euler equations
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gradient flow
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harmonic map
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