Epsilon Regularity for the Navier–Stokes Equations via Weak-Strong Uniqueness

Dallas Albritton; Tobias Barker; Christophe Prange

doi:10.1007/s00021-023-00780-0

Epsilon Regularity for the Navier–Stokes Equations via Weak-Strong Uniqueness

Dallas Albritton, Tobias Barker, Christophe Prange

Research output: Contribution to journal › Article › peer-review

Abstract

We give a new concise proof of a certain one-scale epsilon regularity criterion using weak-strong uniqueness for solutions of the Navier–Stokes equations with non-zero boundary conditions. It is inspired by an analogous approach for the stationary system due to Struwe.

Original language	English
Article number	49
Journal	Journal of Mathematical Fluid Mechanics
Volume	25
Issue number	3
DOIs	https://doi.org/10.1007/s00021-023-00780-0
Publication status	Published - 1 Aug 2023
Externally published	Yes

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title = "Epsilon Regularity for the Navier–Stokes Equations via Weak-Strong Uniqueness",

abstract = "We give a new concise proof of a certain one-scale epsilon regularity criterion using weak-strong uniqueness for solutions of the Navier–Stokes equations with non-zero boundary conditions. It is inspired by an analogous approach for the stationary system due to Struwe.",

author = "Dallas Albritton and Tobias Barker and Christophe Prange",

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AU - Barker, Tobias

AU - Prange, Christophe

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Y1 - 2023/8/1

N2 - We give a new concise proof of a certain one-scale epsilon regularity criterion using weak-strong uniqueness for solutions of the Navier–Stokes equations with non-zero boundary conditions. It is inspired by an analogous approach for the stationary system due to Struwe.

AB - We give a new concise proof of a certain one-scale epsilon regularity criterion using weak-strong uniqueness for solutions of the Navier–Stokes equations with non-zero boundary conditions. It is inspired by an analogous approach for the stationary system due to Struwe.

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DO - 10.1007/s00021-023-00780-0

M3 - Article

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SN - 1422-6928

VL - 25

JO - Journal of Mathematical Fluid Mechanics

JF - Journal of Mathematical Fluid Mechanics

IS - 3

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ER -

Epsilon Regularity for the Navier–Stokes Equations via Weak-Strong Uniqueness

Abstract

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