An approximation of forward self-similar solutions to the 3D Navier-Stokes system

Francis Hounkpe; Gregory Seregin

doi:10.3934/dcds.2021059

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2021, Volume 41, Issue 10: 4823-4846. Doi: 10.3934/dcds.2021059

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An approximation of forward self-similar solutions to the 3D Navier-Stokes system

Francis Hounkpe^1, , and
Gregory Seregin^1,2,

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

^* Corresponding author
^* Corresponding author

Received: October 2020

Early access: March 2021

Published: October 2021

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Abstract

In this paper, we present two constructions of forward self-similar solutions to the $ 3 $D incompressible Navier-Stokes system, as the singular limit of forward self-similar solutions to certain parabolic systems.

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Mathematics Subject Classification: Primary: 35K55, 35J60, 35C06, 35A35; Secondary: 35A01.

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References

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