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

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

Fingerprint

All Science Journal Classification (ASJC) codes

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

Cite this

Wang, Y., & Yang, M. (2019). Improved bounds for box dimensions of potential singular points to the Navier-Stokes equations. Nonlinearity, 32(12), 4817-4833. https://doi.org/10.1088/1361-6544/ab3f51

@article{bcf3fdb05c25478e8b3e09bc860d6d2d,

title = "Improved bounds for box dimensions of potential singular points to the Navier-Stokes equations",

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.",

author = "Yanqing Wang and Minsuk Yang",

year = "2019",

month = oct,

day = "29",

doi = "10.1088/1361-6544/ab3f51",

language = "English",

volume = "32",

pages = "4817--4833",

journal = "Nonlinearity",

issn = "0951-7715",

publisher = "IOP Publishing Ltd.",

number = "12",

}

TY - JOUR

T1 - Improved bounds for box dimensions of potential singular points to the Navier-Stokes equations

AU - Wang, Yanqing

AU - Yang, Minsuk

PY - 2019/10/29

Y1 - 2019/10/29

N2 - 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.

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.

UR - http://www.scopus.com/inward/record.url?scp=85075780394&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85075780394&partnerID=8YFLogxK

U2 - 10.1088/1361-6544/ab3f51

DO - 10.1088/1361-6544/ab3f51

M3 - Article

AN - SCOPUS:85075780394

VL - 32

SP - 4817

EP - 4833

JO - Nonlinearity

JF - Nonlinearity

SN - 0951-7715

IS - 12

ER -

Access to Document

10.1088/1361-6544/ab3f51