Estimates of the singular set for the Navier-Stokes equations with supercritical assumptions on the pressure (Q6155290)
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scientific article; zbMATH DE number 7694681
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Estimates of the singular set for the Navier-Stokes equations with supercritical assumptions on the pressure |
scientific article; zbMATH DE number 7694681 |
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Estimates of the singular set for the Navier-Stokes equations with supercritical assumptions on the pressure (English)
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12 June 2023
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The authors consider three-dimensional incompressible Navier-Stokes equations. They show that if the pressure satisfies some suitable endpoint scale-invariant conditions, then the Hausdorff dimension of the singular set at the first potential blow-up time is arbitrarily small.
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endpoint scale-invariant pressure condition
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Hausdorff dimension
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first potential blow-up time
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