Improved bounds for box dimensions of potential singular points to the Navier-Stokes equations

Yanqing Wang; Minsuk Yang

doi:10.1088/1361-6544/ab3f51

Improved bounds for box dimensions of potential singular points to the Navier-Stokes equations

Yanqing Wang, Minsuk Yang

Department of Mathematics

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

2 Citations (Scopus)

Abstract

In this paper, we study the potential singular points of interior and boundary suitable weak solutions to the 3D Navier-Stokes equations. It is shown that the upper box dimensions of interior singular points and boundary singular points are bounded by 7/6 and 10/9, respectively. Both proofs rely on the recent progress of ϵ-regularity criteria at one scale.

Original language	English
Pages (from-to)	4817-4833
Number of pages	17
Journal	Nonlinearity
Volume	32
Issue number	12
DOIs	https://doi.org/10.1088/1361-6544/ab3f51
Publication status	Published - 2019 Oct 29

Bibliographical note

Publisher Copyright:
© 2019 IOP Publishing Ltd & London Mathematical Society.

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics
Physics and Astronomy(all)
Applied Mathematics

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AB - In this paper, we study the potential singular points of interior and boundary suitable weak solutions to the 3D Navier-Stokes equations. It is shown that the upper box dimensions of interior singular points and boundary singular points are bounded by 7/6 and 10/9, respectively. Both proofs rely on the recent progress of ϵ-regularity criteria at one scale.

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Improved bounds for box dimensions of potential singular points to the Navier-Stokes equations

Abstract

Bibliographical note

All Science Journal Classification (ASJC) codes

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