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On isolated singularities for the stationary Navier-Stokes system - MaRDI portal

On isolated singularities for the stationary Navier-Stokes system (Q6638193)

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scientific article; zbMATH DE number 7944234
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English
On isolated singularities for the stationary Navier-Stokes system
scientific article; zbMATH DE number 7944234

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    On isolated singularities for the stationary Navier-Stokes system (English)
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    14 November 2024
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    This is a contribution to the study of removable singularities of the stationary Navier-Stokes equations with no exterior forces in \(n\ge 3\) dimensions. More precisely, some new results are proved related to the problem whether distributional solutions on a punctured ball in \(\mathbb R^n\) are also distributional solutions on the whole ball. These results extending classical Shapiro and Šverak are sharp as the famous Landau solutions in \(\mathbb R^3\setminus\{0\}\) show.
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    stationary Navier-Stokes equations
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    distributinal solutions
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    removable singularities
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    regularity
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