Epsilon regularity for the Navier-Stokes equations via weak-strong uniqueness (Q6161777)
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scientific article; zbMATH DE number 7692238
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Epsilon regularity for the Navier-Stokes equations via weak-strong uniqueness |
scientific article; zbMATH DE number 7692238 |
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Epsilon regularity for the Navier-Stokes equations via weak-strong uniqueness (English)
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5 June 2023
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In this paper, the authors give a new concise proof of a certain one-scale epsilon regularity criterion for the three-dimensional non-stationary Navier-Stokes equations away from boundaries. The key step is to establish the weak-strong uniqueness of solutions to the three-dimensional Navier-Stokes equation with non-zero boundary conditions.It is inspired by an analogous approach for the stationary system due to Struwe.
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critical integrability
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localized uniqueness
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smallness condition
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one-scale epsilon regularity criterion
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