Blow-up of critical Besov norms at a potential Navier-Stokes singularity (Q273191)
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scientific article; zbMATH DE number 6571693
| Language | Label | Description | Also known as |
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| English | Blow-up of critical Besov norms at a potential Navier-Stokes singularity |
scientific article; zbMATH DE number 6571693 |
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Blow-up of critical Besov norms at a potential Navier-Stokes singularity (English)
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21 April 2016
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The authors extend the blowup criterion for solutions of three-dimensional Navier-Stokes equations by Escauriaza-Seregin-Shverák [\textit{L. Escauriaza} et al., Russ. Math. Surv. 58, No. 2, 211--250 (2003; Zbl 1064.35134); translation from Usp. Mat. Nauk 58, No. 2, 3--44 (2003)] to the setting of critical Besov spaces norms. The proof uses profile decompositions and is based on another paper by the authors [Math. Ann. 355, No. 4, 1527--1559 (2013; Zbl 1291.35180)].
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three-dimensional Navier-Stokes equations
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blowup criterion
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Besov norms
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