A slightly supercritical condition of regularity of axisymmetric solutions to the Navier-Stokes equations (Q6614875)
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scientific article; zbMATH DE number 7922676
| Language | Label | Description | Also known as |
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| English | A slightly supercritical condition of regularity of axisymmetric solutions to the Navier-Stokes equations |
scientific article; zbMATH DE number 7922676 |
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A slightly supercritical condition of regularity of axisymmetric solutions to the Navier-Stokes equations (English)
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8 October 2024
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In this paper, the author establishes a new regularity condition for axisymmetric solutions to the non-stationary 3D Navier-Stokes equations. It is slightly supercritical and does not follow from the so-called \(\varepsilon\)-regularity theory which depends on the smallness of the scale-invariant energy quantities.\N\NFor the entire collection see [Zbl 1515.76005].
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local regularity
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partial regularity theory
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potential singularity
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weak/strong solution
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Cauchy problem
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