Remarks on Type Ⅱ blowups of solutions to the Navier-Stokes equations

Gregory Seregin

doi:10.3934/cpaa.2023108

Article Contents

2024, Volume 23, Issue 10: 1389-1406. Doi: 10.3934/cpaa.2023108

This issue Previous Article Layer and stable solutions to a nonlocal model Next Article Remarks on the complex Euler equations

Remarks on Type Ⅱ blowups of solutions to the Navier-Stokes equations

Gregory Seregin^{1, 2, ,}

1.
University of Oxford, Mathematical Institute, OxPDE, Oxford, UK
2.
St Petersburg Department of Steklov Mathematical Institute, RAS, Russia

^*Corresponding author: Gregory Seregin
^*Corresponding author: Gregory Seregin

Dedicated to Vladimír Šverák

Received: April 1, 2023

Revised: September 1, 2023

Early access: September 20, 2023

Published online: September 20, 2023

The first author is supported by Leverhulme Emeritus Fellowship 2023.

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Abstract

In the note, the Euler scaling is used to study a certain scenario of potential Type Ⅱ blowups of solutions to the Navier-Stokes equations.

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Mathematics Subject Classification: Primary: 35D3076D003; Secondary: 76D005.

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References

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